From 270dc3c764c85577b03d1d86db2d62cafe597f48 Mon Sep 17 00:00:00 2001 From: Apostolof Date: Mon, 25 Mar 2019 23:40:02 +0200 Subject: [PATCH] Various fixes, Complete report, Finalization --- .gitignore | 1 + Assignment_1/README.md | 6 + Assignment_1/bayer2rgb.m | 182 +++++++------ Assignment_1/imagedequant.m | 9 +- Assignment_1/imagequant.m | 8 +- Assignment_1/report/1.0.introduction.tex | 2 +- Assignment_1/report/2.0.bayer_to_rgb.tex | 66 +++-- Assignment_1/report/3.0.quantization.tex | 3 + Assignment_1/report/4.0.ppm.tex | 3 + Assignment_1/report/5.0.results.tex | 52 ++++ Assignment_1/report/report.tex | 16 +- .../res/BayerGreenCenterIsGreen.pdf_tex | 66 +++++ .../report/res/BayerGreenCenterIsGreen.svg | 2 + .../report/res/BayerGreenCenterLines.pdf_tex | 60 +++++ .../report/res/BayerGreenCenterLines.svg | 2 + .../report/res/BayerGreenSpacing.pdf_tex | 70 +++++ Assignment_1/report/res/BayerGreenSpacing.svg | 2 + .../report/res/BayerRedBlueSpacing.pdf_tex | 71 +++++ .../report/res/BayerRedBlueSpacing.svg | 2 + .../report/res/BayerToRGBGrids.pdf_tex | 65 +++++ Assignment_1/report/res/BayerToRGBGrids.svg | 2 + .../report/res/linear_3bit_960X1280.png | Bin 0 -> 290263 bytes .../report/res/linear_8bit_960X1280.png | Bin 0 -> 1446214 bytes .../report/res/nearest_3bit_960X1280.png | Bin 0 -> 166186 bytes .../report/res/nearest_8bit_960X1280.png | Bin 0 -> 1012126 bytes Assignment_1/saveasppm.m | 17 +- Assignment_1/try.ppm | 242 ------------------ 27 files changed, 567 insertions(+), 382 deletions(-) create mode 100644 Assignment_1/README.md create mode 100644 Assignment_1/report/3.0.quantization.tex create mode 100644 Assignment_1/report/4.0.ppm.tex create mode 100644 Assignment_1/report/5.0.results.tex create mode 100644 Assignment_1/report/res/BayerGreenCenterIsGreen.pdf_tex create mode 100644 Assignment_1/report/res/BayerGreenCenterIsGreen.svg create mode 100644 Assignment_1/report/res/BayerGreenCenterLines.pdf_tex create mode 100644 Assignment_1/report/res/BayerGreenCenterLines.svg create mode 100644 Assignment_1/report/res/BayerGreenSpacing.pdf_tex create mode 100644 Assignment_1/report/res/BayerGreenSpacing.svg create mode 100644 Assignment_1/report/res/BayerRedBlueSpacing.pdf_tex create mode 100644 Assignment_1/report/res/BayerRedBlueSpacing.svg create mode 100644 Assignment_1/report/res/BayerToRGBGrids.pdf_tex create mode 100644 Assignment_1/report/res/BayerToRGBGrids.svg create mode 100644 Assignment_1/report/res/linear_3bit_960X1280.png create mode 100644 Assignment_1/report/res/linear_8bit_960X1280.png create mode 100644 Assignment_1/report/res/nearest_3bit_960X1280.png create mode 100644 Assignment_1/report/res/nearest_8bit_960X1280.png delete mode 100644 Assignment_1/try.ppm diff --git a/.gitignore b/.gitignore index d885730..141ae83 100644 --- a/.gitignore +++ b/.gitignore @@ -10,3 +10,4 @@ *.synctex.gz *.synctex.gz(busy) *.fls +*.fdb_latexmk diff --git a/Assignment_1/README.md b/Assignment_1/README.md new file mode 100644 index 0000000..3309e29 --- /dev/null +++ b/Assignment_1/README.md @@ -0,0 +1,6 @@ +# First deliverable + +In this first deliverable we were called to implement a number of functions that: +- produce an RBG image from a Bayer pattern array of samples +- quantize and dequantize the image using any desired number of bits +- transform the image to the PPM format and save it to disk \ No newline at end of file diff --git a/Assignment_1/bayer2rgb.m b/Assignment_1/bayer2rgb.m index 0f8f701..46c4204 100644 --- a/Assignment_1/bayer2rgb.m +++ b/Assignment_1/bayer2rgb.m @@ -3,10 +3,7 @@ function xc = bayer2rgb(xb, M, N, method) % Detailed explanation goes here % Initializes the struct that's going to store the RGB image - xc = struct; - xc.red = zeros(M, N); - xc.green = zeros(M, N); - xc.blue = zeros(M, N); + xc = zeros(M, N, 3); % Initializes helper variables bayerPatternDimY = size(xb, 1); @@ -60,8 +57,8 @@ function xc = bayer2rgb(xb, M, N, method) % Closest neighbors for red and blue can be determined by observing % the Bayer pattern - xc.red = xb(nearestOddRow, nearestEvenCol); - xc.blue = xb(nearestEvenRow, nearestOddCol); + xc(:, :, 1) = xb(nearestEvenRow, nearestOddCol); + xc(:, :, 3) = xb(nearestOddRow, nearestEvenCol); for currentRow = 1:M for currentCol = 1:N @@ -107,14 +104,14 @@ function xc = bayer2rgb(xb, M, N, method) if (fixedNearestRow < 1) % Fix for the marginal first row case - xc.green(currentRow, currentCol) = ... + xc(currentRow, currentCol, 2) = ... xb(1, fixedNearestCol - 1); else - xc.green(currentRow, currentCol) = ... + xc(currentRow, currentCol, 2) = ... xb(fixedNearestRow, fixedNearestCol); end else - xc.green(currentRow, currentCol) = ... + xc(currentRow, currentCol, 2) = ... xb(totalNearestRow(currentRow), ... totalNearestCol(currentCol)); end @@ -128,29 +125,29 @@ function xc = bayer2rgb(xb, M, N, method) % Calculates the ordinate of the upper couple of nearest points % that will be used in the interpolation for the blue colour upperBlueY = flooredCoordinatesY; - upperBlueY(mod(upperBlueY, 2) ~= 0) = ... - upperBlueY(mod(upperBlueY, 2) ~= 0) - 1; + upperBlueY(mod(upperBlueY, 2) == 0) = ... + upperBlueY(mod(upperBlueY, 2) == 0) - 1; upperBlueY = upperBlueY + 2; % Calculates the ordinate of the upper couple of nearest points % that will be used in the interpolation for the red colour upperRedY = flooredCoordinatesY; - upperRedY(mod(upperRedY, 2) == 0) = ... - upperRedY(mod(upperRedY, 2) == 0) - 1; + upperRedY(mod(upperRedY, 2) ~= 0) = ... + upperRedY(mod(upperRedY, 2) ~= 0) - 1; upperRedY = upperRedY + 2; % Calculates the abscissa of the left couple of nearest points that % will be used in the interpolation for the blue colour leftBlueX = flooredCoordinatesX; - leftBlueX(mod(leftBlueX, 2) == 0) = ... - leftBlueX(mod(leftBlueX, 2) == 0) - 1; + leftBlueX(mod(leftBlueX, 2) ~= 0) = ... + leftBlueX(mod(leftBlueX, 2) ~= 0) - 1; leftBlueX = leftBlueX + 2; % Calculates the abscissa of the left couple of nearest points that % will be used in the interpolation for the red colour leftRedX = flooredCoordinatesX; - leftRedX(mod(leftRedX, 2) ~= 0) = ... - leftRedX(mod(leftRedX, 2) ~= 0) - 1; + leftRedX(mod(leftRedX, 2) == 0) = ... + leftRedX(mod(leftRedX, 2) == 0) - 1; leftRedX = leftRedX + 2; % Determines the indeces of the rows (even or odd) of the original @@ -168,45 +165,45 @@ function xc = bayer2rgb(xb, M, N, method) xbPadded = [xbPadded(1, :); xbPadded(2, :); xbPadded; ... xbPadded(end - 2, :); xbPadded(end - 1, :)]; - for currentRow = 1:M - lowerInterpPointBlue = ... - ((leftBlueX + 2 - gridPointsCoordinatesX) / 2)' .* ... - xbPadded(upperBlueY(currentRow) + 2, leftBlueX) + ... - ((gridPointsCoordinatesX - leftBlueX) / 2)' .* ... - xbPadded(upperBlueY(currentRow) + 2, leftBlueX + 2); + lowerInterpPointBlue = ... + ((leftBlueX + 2 - gridPointsCoordinatesX) / 2)' .* ... + xbPadded(upperBlueY + 2, leftBlueX) + ... + ((gridPointsCoordinatesX - leftBlueX) / 2)' .* ... + xbPadded(upperBlueY + 2, leftBlueX + 2); + + upperInterpPointBlue = ... + ((leftBlueX + 2 - gridPointsCoordinatesX) / 2)' .* ... + xbPadded(upperBlueY, leftBlueX) + ... + ((gridPointsCoordinatesX - leftBlueX) / 2)' .* ... + xbPadded(upperBlueY, leftBlueX + 2); - upperInterpPointBlue = ... - ((leftBlueX + 2 - gridPointsCoordinatesX) / 2)' .* ... - xbPadded(upperBlueY(currentRow), leftBlueX) + ... - ((gridPointsCoordinatesX - leftBlueX) / 2)' .* ... - xbPadded(upperBlueY(currentRow), leftBlueX + 2); - - xc.blue(currentRow, :) = ... - ((upperBlueY(currentRow) - ... - gridPointsCoordinatesY(currentRow)) / 2) * ... - lowerInterpPointBlue + ... - ((gridPointsCoordinatesY(currentRow) - ... - upperBlueY(currentRow) + 2) / 2) * ... - upperInterpPointBlue; - - lowerInterpPointRed = ... - ((leftRedX + 2 - gridPointsCoordinatesX) / 2)' .* ... - xbPadded(upperRedY(currentRow) + 2, leftRedX) + ... - ((gridPointsCoordinatesX - leftRedX) / 2)' .* ... - xbPadded(upperRedY(currentRow) + 2, leftRedX + 2); + xc(:, :, 3) = ... + ((upperBlueY - ... + gridPointsCoordinatesY) / 2) .* ... + lowerInterpPointBlue + ... + ((gridPointsCoordinatesY - ... + upperBlueY + 2) / 2) .* ... + upperInterpPointBlue; + + lowerInterpPointRed = ... + ((leftRedX + 2 - gridPointsCoordinatesX) / 2)' .* ... + xbPadded(upperRedY + 2, leftRedX) + ... + ((gridPointsCoordinatesX - leftRedX) / 2)' .* ... + xbPadded(upperRedY + 2, leftRedX + 2); - upperInterpPointRed = ... - ((leftRedX + 2 - gridPointsCoordinatesX) / 2)' .* ... - xbPadded(upperRedY(currentRow), leftRedX) + ... - ((gridPointsCoordinatesX - leftRedX) / 2)' .* ... - xbPadded(upperRedY(currentRow), leftRedX + 2); + upperInterpPointRed = ... + ((leftRedX + 2 - gridPointsCoordinatesX) / 2)' .* ... + xbPadded(upperRedY, leftRedX) + ... + ((gridPointsCoordinatesX - leftRedX) / 2)' .* ... + xbPadded(upperRedY, leftRedX + 2); - xc.red(currentRow, :) = ... - ((upperRedY(currentRow) - gridPointsCoordinatesY(currentRow)) / 2) * ... - lowerInterpPointRed + ... - ((gridPointsCoordinatesY(currentRow) - upperRedY(currentRow) + 2) / 2) * ... - upperInterpPointRed; - + xc(:, :, 1) = ... + ((upperRedY - gridPointsCoordinatesY) / 2) .* ... + lowerInterpPointRed + ... + ((gridPointsCoordinatesY - upperRedY + 2) / 2) .* ... + upperInterpPointRed; + + for currentRow = 1:M for currentCol = 1:N if ((mod(centerPointRow(currentRow), 2) == 0 && ... mod(centerPointCol(currentCol), 2) == 0) || ... @@ -248,18 +245,12 @@ function xc = bayer2rgb(xb, M, N, method) fixedCenterPointCol = centerPointCol(currentCol) + 1; end -% if (fixedCenterPointRow < 1) -% % Fix for the marginal first row case -% fixedCenterPointRow = 1; -% fixedCenterPointCol = fixedCenterPointCol - 1; -% end - - xc.green(currentRow, currentCol) = ... + xc(currentRow, currentCol, 2) = ... tiltedInterp(gridPointsCoordinatesX(currentCol), ... gridPointsCoordinatesY(currentRow), ... fixedCenterPointCol, fixedCenterPointRow, xbPadded); else - xc.green(currentRow, currentCol) = ... + xc(currentRow, currentCol, 2) = ... tiltedInterp(gridPointsCoordinatesX(currentCol), ... gridPointsCoordinatesY(currentRow), ... centerPointCol(currentCol), ... @@ -268,38 +259,10 @@ function xc = bayer2rgb(xb, M, N, method) end end end - - % Combines colours to a single image array and shows the result - rgbImage = cat(3, xc.blue, xc.green, xc.red); - figure(); - imshow(rgbImage); end function value = tiltedInterp(xw, yw, xc, yc, xbPadded) - % Rotates the nearest points by 45 degrees - x1 = (xc - 1) * cosd(45) - yc * sind(45); - y1 = (xc - 1) * sind(45) + yc * cosd(45); - - x2 = (xc + 1) * cosd(45) - yc * sind(45); - y2 = xc * sind(45) + (yc + 1) * cosd(45); - - lowerLeftInterpPoint = ... - ((x2 - xw) / (x2 - x1)) * ... - xbPadded(yc + 2, xc - 1 + 2) + ... - ((xw - x1) / (x2 - x1)) * ... - xbPadded(yc + 1 + 2, xc + 2); - - upperRightInterpPoint = ... - ((x2 - xw) / (x2 - x1)) * ... - xbPadded(yc - 1 + 2, xc + 2) + ... - ((xw - x1) / (x2 - x1)) * ... - xbPadded(yc + 2, xc + 1 + 2); - - value2 = ... - (y2 - yw) / (y2 - y1) * lowerLeftInterpPoint + ... - (yw - y1) / (y2 - y1) * upperRightInterpPoint; - % Calculates the vertical displacement of the main diagonal that % crosses this point bw = yw - xw; @@ -332,11 +295,38 @@ function value = tiltedInterp(xw, yw, xc, yc, xbPadded) (sqrt(2) - dist) / sqrt(2) * lowerLeftInterpPoint + ... dist / sqrt(2) * upperRightInterpPoint; - value = (xbPadded(yc + 2, xc - 1 + 2) + ... - xbPadded(yc + 2, xc + 1 + 2) + ... - xbPadded(yc - 1 + 2, xc + 2) + ... - xbPadded(yc + 1 + 2, xc + 2)) / 4; -% if (value ~= value2) -% disp(1); -% end + + % Tried to rotate the neighbors and then interpolate. It didn't + % work well but I left it in here anyway. + + % Rotates the nearest points by 45 degrees +% x1 = (xc - 1) * cosd(45) - yc * sind(45); +% y1 = (xc - 1) * sind(45) + yc * cosd(45); +% +% x2 = (xc + 1) * cosd(45) - yc * sind(45); +% y2 = xc * sind(45) + (yc + 1) * cosd(45); +% +% lowerLeftInterpPoint = ... +% ((x2 - xw) / (x2 - x1)) * ... +% xbPadded(yc + 2, xc - 1 + 2) + ... +% ((xw - x1) / (x2 - x1)) * ... +% xbPadded(yc + 1 + 2, xc + 2); +% +% upperRightInterpPoint = ... +% ((x2 - xw) / (x2 - x1)) * ... +% xbPadded(yc - 1 + 2, xc + 2) + ... +% ((xw - x1) / (x2 - x1)) * ... +% xbPadded(yc + 2, xc + 1 + 2); +% +% value = ... +% (y2 - yw) / (y2 - y1) * lowerLeftInterpPoint + ... +% (yw - y1) / (y2 - y1) * upperRightInterpPoint; + + % Also tried averaging between the four neighbors which actually + % produces a better image... So I just left this in too. + +% value = (xbPadded(yc + 2, xc - 1 + 2) + ... +% xbPadded(yc + 2, xc + 1 + 2) + ... +% xbPadded(yc - 1 + 2, xc + 2) + ... +% xbPadded(yc + 1 + 2, xc + 2)) / 4; end diff --git a/Assignment_1/imagedequant.m b/Assignment_1/imagedequant.m index c48ebc8..6caf777 100644 --- a/Assignment_1/imagedequant.m +++ b/Assignment_1/imagedequant.m @@ -10,9 +10,8 @@ function x = imagedequant(q, w1, w2, w3) % Output % - x is the image with the dequantized values - x = struct; - x.red = mydequant(q.red, w1); - x.green = mydequant(q.green, w2); - x.blue = mydequant(q.blue, w3); + x(size(q, 1), size(q, 2), 3) = 0; + x(:, :, 1) = mydequant(q(:, :, 1), w1); + x(:, :, 2) = mydequant(q(:, :, 2), w2); + x(:, :, 3) = mydequant(q(:, :, 3), w3); end - diff --git a/Assignment_1/imagequant.m b/Assignment_1/imagequant.m index d28e530..69709f0 100644 --- a/Assignment_1/imagequant.m +++ b/Assignment_1/imagequant.m @@ -10,8 +10,8 @@ function q = imagequant(x, w1, w2, w3) % Output % - q is the image with the quantized values - q = struct; - q.red = myquant(x.red, w1); - q.green = myquant(x.green, w2); - q.blue = myquant(x.blue, w3); + q(size(x, 1), size(x, 2), 3) = 0; + q(:, :, 1) = myquant(x(:, :, 1), w1); + q(:, :, 2) = myquant(x(:, :, 2), w2); + q(:, :, 3) = myquant(x(:, :, 3), w3); end diff --git a/Assignment_1/report/1.0.introduction.tex b/Assignment_1/report/1.0.introduction.tex index e594a80..6c51f93 100644 --- a/Assignment_1/report/1.0.introduction.tex +++ b/Assignment_1/report/1.0.introduction.tex @@ -1,6 +1,6 @@ \section{Εισαγωγή} -Η παρούσα εργασία εκπονήθηκε στα πλαίσια του μαθήματος ``Ψηφιακή Επεξεργασία Εικόνας'' του όγδοου (8\textsuperscript{ου}) εξαμήνου του τμήματος Ηλεκτρολόγων Μηχανικών και Μηχανικών Υπολογιστών του Αριστοτέλειου Πανεπιστημίου Θεσσαλονίκης. Ζητούμενο του πρώτου παραδοτέου της εργασίας είναι η υλοποίηση, με χρήση του λογισμικού Matlab, έξι συνολικά συναρτήσεων που +Η παρούσα εργασία εκπονήθηκε στα πλαίσια του μαθήματος ``Ψηφιακή Επεξεργασία Εικόνας'' του όγδοου (8\textsuperscript{ου}) εξαμήνου του τμήματος Ηλεκτρολόγων Μηχανικών και Μηχανικών Υπολογιστών του Αριστοτέλειου Πανεπιστημίου Θεσσαλονίκης. Ζητούμενο του πρώτου παραδοτέου της εργασίας είναι η υλοποίηση, με χρήση του λογισμικού Matlab, έξι συνολικά συναρτήσεων που: \begin{itemize} \item ανακατασκευάζουν μία τριχρωματική εικόνα RGB από εικόνα σε μορφή του προτύπου Bayer diff --git a/Assignment_1/report/2.0.bayer_to_rgb.tex b/Assignment_1/report/2.0.bayer_to_rgb.tex index a327c27..f2136a2 100644 --- a/Assignment_1/report/2.0.bayer_to_rgb.tex +++ b/Assignment_1/report/2.0.bayer_to_rgb.tex @@ -1,8 +1,18 @@ \section{Bayer σε RGB} -Στο πρώτο κομμάτι της εργασίας ζητήθηκε η ανακατασκευή μίας RGB εικόνας από ένα πίνακα Bayer, όπως αυτός θα προέκυπτε από έναν αισθητήρα CCD ή CMOS μίας κάμερας. Ο αλγόριθμος αυτός υλοποιείται στη συνάρτηση \texttt{bayer2rgb}. Απαίτηση της εργασίας ήταν επίσης η ταυτόχρονη αλλαγή μεγέθους (resizing) της εικόνας και ο υπολογισμός των τιμών φωτεινότητας των καναλιών στις νέες θέσεις. +Στο πρώτο κομμάτι της εργασίας ζητήθηκε η ανακατασκευή μίας RGB εικόνας από ένα πίνακα Bayer, όπως αυτός θα προέκυπτε από έναν αισθητήρα CCD ή CMOS μίας κάμερας. Ο αλγόριθμος αυτός υλοποιείται στη συνάρτηση \texttt{bayer2rgb}. Απαίτηση της εργασίας ήταν επίσης η ταυτόχρονη αλλαγή μεγέθους (resizing) της εικόνας και ο υπολογισμός των τιμών φωτεινότητας των καναλιών στις νέες θέσεις πλέγματος (interpolation). -Αρχικά υπολογίζονται οι τετμημένες και τεταγμένες των νέων θέσεων του πλέγματος (grid) της εικόνας. Γνωρίζουμε ότι τα σημεία που βρίσκονται στις τέσσερις γωνίες τις εικόνας αντιστοιχούν στα τέσσερα γωνιακά σημεία του αρχικού πλέγματος Bayer. Υπολογίζουμε την οριζόντια και κατακόρυφη απόσταση μεταξύ δύο διαδοχικών σημείων χρησιμοποιώντας τις εξισώσεις: +Αρχικά υπολογίζονται οι τετμημένες και τεταγμένες των νέων θέσεων του πλέγματος (grid) της εικόνας. Γνωρίζουμε ότι τα σημεία που βρίσκονται στις τέσσερις γωνίες τις εικόνας αντιστοιχούν στα τέσσερα γωνιακά σημεία του αρχικού πλέγματος Bayer. + +\begin{figure}[H] + \centering + \resizebox{\textwidth}{!}{ + \input{res/BayerToRGBGrids.pdf_tex} + } + \caption{Υπέρθεση των Bayer και RGB grids} +\end{figure} + +Υπολογίζουμε την οριζόντια και κατακόρυφη απόσταση μεταξύ δύο διαδοχικών σημείων χρησιμοποιώντας τις εξισώσεις: \begin{equation} h = \frac{M_0 - 1}{M - 1} @@ -14,8 +24,8 @@ l = \frac{N_0 - 1}{N - 1} Οι τετμημένες και τεταγμένες μπορούν να υπολογιστούν εύκολα στη Matlab: \begin{lstlisting}[language=Octave] -gridX = 1:l:M0 -gridY = 1:h:N0 +gridX = 1:l:N0 +gridY = 1:h:M0 \end{lstlisting} Έπειτα πρέπει να υπολογιστούν οι τιμές φωτεινότητας κάθε καναλιού στις θέσεις του πλέγματος. Για τον υπολογισμό αυτό υλοποιήθηκαν δύο μέθοδοι, αυτή του κοντινότερου γείτονα (``Nearest neighbor'') και αυτή της διγραμμικής παρεμβολής (``Bilinear interpolation''). @@ -26,7 +36,13 @@ gridY = 1:h:N0 Παρατηρώντας το μοτίβο Bayer βλέπουμε ότι κάθε τετράδα μετρήσεων αυτών των χρωμάτων ορίζει ένα τετράγωνο χώρο μέσα στον οποίο ο κοντινότερος γείτονας είναι πάντα μία από τις κορυφές του τετραγώνου. Ορίζεται ένα ορθοκανονικό σύστημα συντεταγμένων με κέντρο το κέντρο βάρους του τετραγώνου, έτσι σε κάθε τεταρτημόριο του συστήματος αυτού υπάρχει ακριβώς μία από τις κορυφές του τετραγώνου. Με αυτό το τρόπο, για να βρεθεί ο κοντινότερος γείτονας κόκκινης ή μπλε μέτρησης ενός σημείου, αρκεί να βρεθεί σε ποιο τεταρτημόριο ανήκει το σημείο. -Σχήματα εδώ!! ====================================================================================== +\begin{figure}[H] + \centering + \resizebox{\textwidth}{!}{ + \input{res/BayerRedBlueSpacing.pdf_tex} + } + \caption{Τετράδες γειτονικών κόκκινων και μπλε δειγμάτων στο Bayer pattern} +\end{figure} Παρατηρούμε ότι στο Bayer pattern: \begin{itemize} @@ -36,19 +52,25 @@ gridY = 1:h:N0 \item η \textbf{τεταγμένη} των \textbf{μπλε} σημείων είναι πάντα \textbf{περιττός} ακέραιος αριθμός \end{itemize} -Βασιζόμενοι σε αυτή τη παρατήρηση υπολογίζουμε αρχικά, για κάθε σημείο πλέγματος RGB εικόνας, τον κοντινότερο περιττό και ζυγό ακέραιο της τεμτημένης και τεταγμένης του σημείου. Έπειτα η τιμή του κοντινότερου γείτονα στο πλέγμα Bayer είναι για κάθε χρώμα: +Βασιζόμενοι σε αυτή τη παρατήρηση υπολογίζουμε αρχικά, για κάθε σημείο πλέγματος RGB εικόνας, τον κοντινότερο περιττό και ζυγό ακέραιο της τετμημένης και τεταγμένης του σημείου. Έπειτα η τιμή του κοντινότερου γείτονα στο πλέγμα Bayer είναι για κάθε χρώμα: \begin{lstlisting}[language=Octave] red = bayerArray(nearestEvenRow, nearestOddCol); blue = bayerArray(nearestOddRow, nearestEvenCol); \end{lstlisting} -Σχήματα εδώ!! ====================================================================================== - Το πράσινο χρώμα στο μοτίβο Bayer έχει διαφορετική χωροταξία, για αυτό και απαιτείται διαφορετική αντιμετώπιση στον υπολογισμό των συντεταγμένων του κοντινότερου γείτονα. Ωστόσο ο υπολογισμός βασίζεται και πάλι σε παρατήρηση των χωρικών ιδιοτήτων του πλέγματος. Παρατηρούμε ότι τέσσερα πράσινα σημεία ορίζουν ένα ρόμβο. Ορίζουμε ένα ορθογώνιο σύστημα συντεταγμένων, περιστραμμένο κατά 45\textdegree{} αντιορολογιακά. Όμοια με πριν, σε κάθε τεταρτημόριο του συστήματος συντεταγμένων υπάρχει μόνο μία κορυφή του ρόμβου. +\begin{figure}[H] + \centering + \resizebox{\textwidth}{!}{ + \input{res/BayerGreenSpacing.pdf_tex} + } + \caption{Τετράδες γειτονικών πράσινων δειγμάτων στο Bayer pattern} +\end{figure} + Οι συντεταγμένες του πλέγματος των RGB σημείων στρογγυλοποιούνται στον κοντινότερο ακέραιο. Αν το σημείο που προκύπτει είναι ένα από τα σημεία του Bayer που περιέχουν τη πληροφορία του πράσινου, τότε αυτός είναι ο κοντινότερος γείτονας. Αν αυτή δεν είναι η περίπτωση σημαίνει ότι οι συντενταγμένες που υπολογίστηκαν είναι αυτές του κέντρου βάρους του ρόμβου. Για να βρούμε τις σωστές συντεταγμένες υπολογίζουμε τις ευθείες που περνούν από το κέντρο με κλίση 1 και -1: \begin{equation} @@ -61,8 +83,6 @@ y = -x + b_2 \label{eq:green_rhombus_2} \end{equation} -Σχήματα εδώ!! ====================================================================================== - Διακρίνονται τέσσερις περιπτώσεις: \begin{itemize} @@ -72,6 +92,14 @@ y = -x + b_2 \item το αρχικό σημείο βρίσκεται κάτω από την ευθεία \ref{eq:green_rhombus_1} και πάνω από την ευθεία \ref{eq:green_rhombus_2} τότε ο κοντινότερος γείτονας είναι το σημείο Δ \end{itemize} +\begin{figure}[H] + \centering + \resizebox{.4\textwidth}{!}{ + \input{res/BayerGreenCenterLines.pdf_tex} + } + \caption{Τετράδα γειτονικών πράσινων δειγμάτων στο Bayer pattern και ευθείες} +\end{figure} + \subsection{Bilinear interpolation} Στη μέθοδο της διγραμμικής παρεμβολής απαιτείται η εύρεση των συντεταγμένων των τεσσάρων κοντινότερων σημείων και ύστερα η υλοποίηση της παρεμβολής. @@ -82,20 +110,20 @@ y = -x + b_2 Αντίστοιχα για τις τετμημένες των σημείων, αυτές του κόκκινου καναλιού θα πρέπει να είναι μονός αριθμός ενώ του μπλε θα πρέπει να είναι ζυγός, αν αυτό δεν ισχύει αφαιρείται μία μονάδα από την εκάστοτε συντεταγμένη. -Σχήματα εδώ!! ====================================================================================== - Για άλλη μία φορά, όλα τα παραπάνω απορρέουν από τη χωρική δομή των μετρήσεων των καναλιών στο πλέγμα Bayer και αποδεικνύονται με απλή παρατήρηση των ιδιοτήτων του. Γνωρίζοντας τις συντεταγμένες της μίας κορυφής, ο υπολογισμός των συντεταγμένων των υπόλοιπων κορυφών είναι απλός. Γνωρίζοντας τις συντεταμένες όλων των γειτόνων η παρεμβολή υλοποιείται σε δύο βήματα, πρώτα γίνονται δύο γραμμικές παρεμβολές στη μία διάσταση (οριζόντια) και έπειτα τα αποτελέσματα των παρεμβολών συνδυάζονται για τον τελικό υπολογισμό της φωτεινότητας. Για το πράσινο κανάλι ο αλγόριθμος επιχειρεί την εύρεση των συντεταγμένων του κέντρου βάρους του ρόμβου που ορίζουν τέσσερα γειτονικά σημεία. Αρχικά οι συντεταγμένες του RGB πλέγματος στρογγυλοποιούνται στον κοντινότερο ακέραιο. Αν το σημείο που προκύπτει \textbf{δεν} περιέχει πληροφορία για το πράσινο χρώμα τότε έχει βρεθεί το κέντρο του ρόμβου. Αν το σημείο που προκύπτει περιέχει πληροφορία για το πράσινο χρώμα, σημαίνει ότι πρόκειται για μία από τις κορυφές του ρόμβου. Για να βρεθεί το κέντρο υπολογίζονται οι εξισώσεις των ευθειών που περνούν από το σημείο που βρέθηκε με συντελεστές κλίσης 1 και -1. Έπειτα, όμοια με πριν, διαχωρίζονται τέσσερις περιπτώσεις όπου με βάση τη σχετική θέση του αρχικού σημείου του RGB πλέγματος και των δύο ευθειών υποδεικνύεται η σωστή θέση του κέντρου του ρόμβου. -Αφού βρεθεί το κέντρο του ρόμβου, ο υπολογισμός των συντεταγμένων των τεσσάρων κορυφών είναι απλός. Τέλος υλοποιείται μία ειδική περίπτωση της διγραμμικής παρεμβολής στη συνάρτηση \texttt{tiltedInterp}, καθώς στο πράσινο κανάλι το σύστημα είναι περιστραμμένο και απαιτεί διαφορετική αντιμετώπιση κατά τη παρεμβολή. - -Τέλος σημειώνεται ότι κατά τη παραπάνω διαδικασία μερικά σημεία θα βρεθούν έξω από τα όρια της εικόνας. Αυτό αφορά τα σημεία κοντά (1-2 pixels in) στα όρια της εικόνας. Για να αντιμετωπιστεί εύκολα αυτό, δημιουργήθηκε μία επεκτεταμένη έκδοση του Bayer πλέγματος στο οποίο οι δύο πρώτες και δύο τελευταίες γραμμές και στήλες έχουν αντιγραφεί με κατάλληλο τρόπο. Επίσης ιδιαίτερη προσοχή χρειάστηκε στους δείκτες του πίνακα του επεκταμένου πλέγματος, ώστε να - - -ασδφασφασδφα +\begin{figure}[H] + \centering + \resizebox{0.7\textwidth}{!}{ + \input{res/BayerGreenCenterIsGreen.pdf_tex} + } + \caption{Τετράδα γειτονικών πράσινων δειγμάτων στο Bayer pattern και ευθείες} +\end{figure} +Αφού βρεθεί το κέντρο του ρόμβου, ο υπολογισμός των συντεταγμένων των τεσσάρων κορυφών είναι απλός. Τέλος υλοποιείται μία ειδική περίπτωση της διγραμμικής παρεμβολής στη συνάρτηση \texttt{tiltedInterp}, καθώς στο πράσινο κανάλι το σύστημα είναι περιστραμμένο και απαιτεί διαφορετική αντιμετώπιση κατά τη παρεμβολή. - το σωστό στοιχείο του πίνακα κάθε φορά. +Τέλος σημειώνεται ότι κατά τη παραπάνω διαδικασία μερικά γειτονικά σημεία θα έχουν συντεταγμένες έξω από τα όρια της εικόνας. Αυτό αφορά τα σημεία κοντά (1-2 pixels in) στα όρια της εικόνας. Για να αντιμετωπιστεί εύκολα αυτό, δημιουργήθηκε μία επεκτεταμένη έκδοση του Bayer πλέγματος στο οποίο οι δύο πρώτες και δύο τελευταίες γραμμές και στήλες έχουν αντιγραφεί με κατάλληλο τρόπο. Επίσης ιδιαίτερη προσοχή χρειάστηκε στους δείκτες του πίνακα του επεκταμένου πλέγματος, ώστε να γίνεται προσπέλαση του σωστού στοιχείου του πίνακα κάθε φορά. diff --git a/Assignment_1/report/3.0.quantization.tex b/Assignment_1/report/3.0.quantization.tex new file mode 100644 index 0000000..9813c1b --- /dev/null +++ b/Assignment_1/report/3.0.quantization.tex @@ -0,0 +1,3 @@ +\section{Κβαντισμός} + +Στα πλαίσια της εργασίας υλοποιήθηκαν επίσης ένας ομοιόμορφος, συμμετρικός κβαντιστής χωρίς νεκρή ζώνη, \texttt{myquant} και ο αντίστοιχος αποκβαντιστής, \texttt{mydequant}, καθώς επίσης και δύο συναρτήσεις που εφαρμόζουν τον κβαντιστή και αποκβαντιστή στο κάθε κανάλι της εικόνας ξεχωριστά, \texttt{imagequant} και \texttt{imagedequant} αντίστοιχα. \ No newline at end of file diff --git a/Assignment_1/report/4.0.ppm.tex b/Assignment_1/report/4.0.ppm.tex new file mode 100644 index 0000000..c3e984b --- /dev/null +++ b/Assignment_1/report/4.0.ppm.tex @@ -0,0 +1,3 @@ +\section{Πρότυπο PPM} + +Τέλος υλοποιήθηκε η συνάρτηση \texttt{saveasppm} η οποία μετατρέπει την εικόνα σε μορφή που συμμορφώνεται με το πρότυπο PPM και την αποθηκεύει στο δίσκο. \ No newline at end of file diff --git a/Assignment_1/report/5.0.results.tex b/Assignment_1/report/5.0.results.tex new file mode 100644 index 0000000..ec5348b --- /dev/null +++ b/Assignment_1/report/5.0.results.tex @@ -0,0 +1,52 @@ +\section{Εκτέλεση και αποτελέσματα} + +Οι συναρτήσεις που υλοποιήθηκαν χρησιμοποιήθηκαν σε συνδυασμό με την δοκιμαστική εικόνα που δόθηκε ώστε να παράξουν τις παρακάτω εικόνες: + +\begin{figure}[H] + \centering + \resizebox{\textwidth}{!}{ + \includegraphics{res/nearest_3bit_960X1280.png} + } + \caption{RGB εικόνα με χρήση \textbf{κοντινότερου γείτονα}, διαστάσεις 960Χ1280 και \textbf{κβαντισμό 3bit} ανά κανάλι} +\end{figure} + +\begin{figure}[H] + \centering + \resizebox{\textwidth}{!}{ + \includegraphics{res/nearest_8bit_960X1280.png} + } + \caption{RGB εικόνα με χρήση \textbf{κοντινότερου γείτονα}, διαστάσεις 960Χ1280 και \textbf{κβαντισμό 8bit} ανά κανάλι} +\end{figure} + +\begin{figure}[H] + \centering + \resizebox{\textwidth}{!}{ + \includegraphics{res/linear_3bit_960X1280.png} + } + \caption{RGB εικόνα με χρήση \textbf{γραμμικής παρεμβολής}, διαστάσεις 960Χ1280 και \textbf{κβαντισμό 3bit} ανά κανάλι} +\end{figure} + +\begin{figure}[H] + \centering + \resizebox{\textwidth}{!}{ + \includegraphics{res/linear_8bit_960X1280.png} + } + \caption{RGB εικόνα με χρήση \textbf{γραμμικής παρεμβολής}, διαστάσεις 960Χ1280 και \textbf{κβαντισμό 8bit} ανά κανάλι} +\end{figure} + +Παρακάτω παρατίθενται ενδεικτικά οι χρόνοι εκτέλεσης των βασικών συναρτήσεων για επιλεγμένες διαστάσεις τελικής εικόνας 960Χ1280 καθώς: + +\begin{table}[H] + \centering + \begin{tabular}{l l} \toprule + Συνάρτηση & Χρόνος (seconds) \\ \midrule + \texttt{bayer2rgb} (``nearest'') & 0.164 \\ + \texttt{bayer2rgb} (``linear'') & 0.484 \\ + \texttt{imagequant} & 0.0315 \\ + \texttt{imagedequant} & 0.024 \\ + \texttt{saveasppm} & 0.208 \\ \bottomrule + \end{tabular} + \caption{Χρόνοι βασικών συναρτήσεων} +\end{table} + +Σημειώνεται ότι οι παραπάνω χρόνοι υπολογίστηκαν με χρήση των εντολών \texttt{tic} και \texttt{toc}, ενώ η χρήση της επιλογής ``Run and Time'' ανέφερε πολύ μεγαλύτερους χρόνους λόγω του overhead που προσθέτει στην εκτέλεση. Το μέγεθος του αρχείου PPM που παράχθηκε με κβάντιση 8bit είναι 3,7MB. \ No newline at end of file diff --git a/Assignment_1/report/report.tex b/Assignment_1/report/report.tex index 35178f0..3ad79a7 100644 --- a/Assignment_1/report/report.tex +++ b/Assignment_1/report/report.tex @@ -10,9 +10,12 @@ \usepackage{authblk} \usepackage{textcomp} \usepackage{listings} +\usepackage{float} \usepackage{color} +\usepackage{graphicx} +\usepackage{booktabs} -%\usepackage{booktabs} +\graphicspath{{res/}} %\usepackage{multirow} %\usepackage[all]{hypcap} @@ -57,10 +60,10 @@ \date{\today} \pagestyle{fancy} -\lhead{Kefalida} -\rhead{Yposelido} -\renewcommand{\headrulewidth}{0.4pt} -\renewcommand{\footrulewidth}{0.4pt} +% \lhead{Kefalida} +% \rhead{Yposelido} +% \renewcommand{\headrulewidth}{0.4pt} +% \renewcommand{\footrulewidth}{0.4pt} \setlength{\headheight}{14pt} \hypersetup{colorlinks=true, linkcolor=black, urlcolor=blue, citecolor=blue} @@ -71,5 +74,8 @@ \input{front_page.tex} \input{1.0.introduction.tex} \input{2.0.bayer_to_rgb} +\input{3.0.quantization} +\input{4.0.ppm} +\input{5.0.results} \end{document} \ No newline at end of file diff --git a/Assignment_1/report/res/BayerGreenCenterIsGreen.pdf_tex b/Assignment_1/report/res/BayerGreenCenterIsGreen.pdf_tex new file mode 100644 index 0000000..e7e84c2 --- /dev/null +++ b/Assignment_1/report/res/BayerGreenCenterIsGreen.pdf_tex @@ -0,0 +1,66 @@ +%% Creator: Inkscape inkscape 0.92.3, www.inkscape.org +%% PDF/EPS/PS + LaTeX output extension by Johan Engelen, 2010 +%% Accompanies image file 'BayerGreenCenterIsGreen.pdf' (pdf, eps, ps) +%% +%% To include the image in your LaTeX document, write +%% \input{.pdf_tex} +%% instead of +%% \includegraphics{.pdf} +%% To scale the image, write +%% \def\svgwidth{} +%% \input{.pdf_tex} +%% instead of +%% \includegraphics[width=]{.pdf} +%% +%% Images with a different path to the parent latex file can +%% be accessed with the `import' package (which may need to be +%% installed) using +%% \usepackage{import} +%% in the preamble, and then including the image with +%% \import{}{.pdf_tex} +%% Alternatively, one can specify +%% \graphicspath{{/}} +%% +%% For more information, please see info/svg-inkscape on CTAN: +%% http://tug.ctan.org/tex-archive/info/svg-inkscape +%% +\begingroup% + \makeatletter% + \providecommand\color[2][]{% + \errmessage{(Inkscape) Color is used for the text in Inkscape, but the package 'color.sty' is not loaded}% + \renewcommand\color[2][]{}% + }% + \providecommand\transparent[1]{% + \errmessage{(Inkscape) Transparency is used (non-zero) for the text in Inkscape, but the package 'transparent.sty' is not loaded}% + \renewcommand\transparent[1]{}% + }% + \providecommand\rotatebox[2]{#2}% + \newcommand*\fsize{\dimexpr\f@size pt\relax}% + \newcommand*\lineheight[1]{\fontsize{\fsize}{#1\fsize}\selectfont}% + \ifx\svgwidth\undefined% + \setlength{\unitlength}{300.05419922bp}% + \ifx\svgscale\undefined% + \relax% + \else% + \setlength{\unitlength}{\unitlength * \real{\svgscale}}% + \fi% + \else% + \setlength{\unitlength}{\svgwidth}% + \fi% + \global\let\svgwidth\undefined% + \global\let\svgscale\undefined% + \makeatother% + \begin{picture}(1,0.33224466)% + \lineheight{1}% + \setlength\tabcolsep{0pt}% + \put(0,0){\includegraphics[width=\unitlength,page=1]{BayerGreenCenterIsGreen.pdf}}% + \put(0.06925507,0.00647344){\color[rgb]{0,0,0}\makebox(0,0)[t]{\lineheight{1.25}\smash{\begin{tabular}[t]{c}$y = x + b_1$\end{tabular}}}}% + \put(0.07425416,0.31141835){\color[rgb]{0,0,0}\makebox(0,0)[t]{\lineheight{1.25}\smash{\begin{tabular}[t]{c}$y = -x + b_2$\end{tabular}}}}% + \put(0,0){\includegraphics[width=\unitlength,page=2]{BayerGreenCenterIsGreen.pdf}}% + \put(0.7266363,0.26142738){\color[rgb]{0,0,0}\makebox(0,0)[t]{\lineheight{1.25}\smash{\begin{tabular}[t]{c}Bayer Grid Green samples\end{tabular}}}}% + \put(0.773,0.19893867){\color[rgb]{0,0,0}\makebox(0,0)[t]{\lineheight{1.25}\smash{\begin{tabular}[t]{c}RGB Grid interpolation position\end{tabular}}}}% + \put(0,0){\includegraphics[width=\unitlength,page=3]{BayerGreenCenterIsGreen.pdf}}% + \put(0.815,0.13644996){\color[rgb]{0,0,0}\makebox(0,0)[t]{\lineheight{1.25}\smash{\begin{tabular}[t]{c}Possible positions of rhombus center\end{tabular}}}}% + \put(0.78,0.0764608){\color[rgb]{0,0,0}\makebox(0,0)[t]{\lineheight{1.25}\smash{\begin{tabular}[t]{c}True position of rhombus center\end{tabular}}}}% + \end{picture}% +\endgroup% diff --git a/Assignment_1/report/res/BayerGreenCenterIsGreen.svg b/Assignment_1/report/res/BayerGreenCenterIsGreen.svg new file mode 100644 index 0000000..adb3942 --- /dev/null +++ b/Assignment_1/report/res/BayerGreenCenterIsGreen.svg @@ -0,0 +1,2 @@ + +
y = x + b_1
y = x + b_1
y = -x + b_2
y = -x + b_2
Bayer Grid Green samples
Bayer Grid Green samples
RGB Grid interpolation position
RGB Grid interpolation position
Possible positions of rhombus center
Possible positions of rhombus center
True positions of rhombus center
True positions of rhombus center \ No newline at end of file diff --git a/Assignment_1/report/res/BayerGreenCenterLines.pdf_tex b/Assignment_1/report/res/BayerGreenCenterLines.pdf_tex new file mode 100644 index 0000000..3a6f767 --- /dev/null +++ b/Assignment_1/report/res/BayerGreenCenterLines.pdf_tex @@ -0,0 +1,60 @@ +%% Creator: Inkscape inkscape 0.92.3, www.inkscape.org +%% PDF/EPS/PS + LaTeX output extension by Johan Engelen, 2010 +%% Accompanies image file 'BayerGreenCenterLines.pdf' (pdf, eps, ps) +%% +%% To include the image in your LaTeX document, write +%% \input{.pdf_tex} +%% instead of +%% \includegraphics{.pdf} +%% To scale the image, write +%% \def\svgwidth{} +%% \input{.pdf_tex} +%% instead of +%% \includegraphics[width=]{.pdf} +%% +%% Images with a different path to the parent latex file can +%% be accessed with the `import' package (which may need to be +%% installed) using +%% \usepackage{import} +%% in the preamble, and then including the image with +%% \import{}{.pdf_tex} +%% Alternatively, one can specify +%% \graphicspath{{/}} +%% +%% For more information, please see info/svg-inkscape on CTAN: +%% http://tug.ctan.org/tex-archive/info/svg-inkscape +%% +\begingroup% + \makeatletter% + \providecommand\color[2][]{% + \errmessage{(Inkscape) Color is used for the text in Inkscape, but the package 'color.sty' is not loaded}% + \renewcommand\color[2][]{}% + }% + \providecommand\transparent[1]{% + \errmessage{(Inkscape) Transparency is used (non-zero) for the text in Inkscape, but the package 'transparent.sty' is not loaded}% + \renewcommand\transparent[1]{}% + }% + \providecommand\rotatebox[2]{#2}% + \newcommand*\fsize{\dimexpr\f@size pt\relax}% + \newcommand*\lineheight[1]{\fontsize{\fsize}{#1\fsize}\selectfont}% + \ifx\svgwidth\undefined% + \setlength{\unitlength}{120.8496377bp}% + \ifx\svgscale\undefined% + \relax% + \else% + \setlength{\unitlength}{\unitlength * \real{\svgscale}}% + \fi% + \else% + \setlength{\unitlength}{\svgwidth}% + \fi% + \global\let\svgwidth\undefined% + \global\let\svgscale\undefined% + \makeatother% + \begin{picture}(1,0.62499426)% + \lineheight{1}% + \setlength\tabcolsep{0pt}% + \put(0,0){\includegraphics[width=\unitlength,page=1]{BayerGreenCenterLines.pdf}}% + \put(0.85,0.54522435){\color[rgb]{0,0,0}\makebox(0,0)[t]{\lineheight{1.25}\smash{\begin{tabular}[t]{c}$y = x + b_1$\end{tabular}}}}% + \put(0.85,0.06115174){\color[rgb]{0,0,0}\makebox(0,0)[t]{\lineheight{1.25}\smash{\begin{tabular}[t]{c}$y = -x + b_2$\end{tabular}}}}% + \end{picture}% +\endgroup% diff --git a/Assignment_1/report/res/BayerGreenCenterLines.svg b/Assignment_1/report/res/BayerGreenCenterLines.svg new file mode 100644 index 0000000..556d8f8 --- /dev/null +++ b/Assignment_1/report/res/BayerGreenCenterLines.svg @@ -0,0 +1,2 @@ + +
y = x + b_1
y = x + b_1
y = -x + b_2
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[Not supported by viewer] \ No newline at end of file diff --git a/Assignment_1/report/res/BayerRedBlueSpacing.pdf_tex b/Assignment_1/report/res/BayerRedBlueSpacing.pdf_tex new file mode 100644 index 0000000..4648bed --- /dev/null +++ b/Assignment_1/report/res/BayerRedBlueSpacing.pdf_tex @@ -0,0 +1,71 @@ +%% Creator: Inkscape inkscape 0.92.3, www.inkscape.org +%% PDF/EPS/PS + LaTeX output extension by Johan Engelen, 2010 +%% Accompanies image file 'BayerRedBlueSpacing.pdf' (pdf, eps, ps) +%% +%% To include the image in your LaTeX document, write +%% \input{.pdf_tex} +%% instead of +%% \includegraphics{.pdf} +%% To scale the image, write +%% \def\svgwidth{} +%% \input{.pdf_tex} +%% instead of +%% \includegraphics[width=]{.pdf} +%% +%% Images with a different path to the parent latex file can +%% be accessed with the `import' package (which may need to be +%% installed) using +%% \usepackage{import} +%% in the preamble, and then including the image with +%% \import{}{.pdf_tex} +%% Alternatively, one can specify +%% \graphicspath{{/}} +%% +%% For more information, please see info/svg-inkscape on CTAN: +%% http://tug.ctan.org/tex-archive/info/svg-inkscape +%% +\begingroup% + \makeatletter% + \providecommand\color[2][]{% + \errmessage{(Inkscape) Color is used for the text in Inkscape, but the package 'color.sty' is not loaded}% + \renewcommand\color[2][]{}% + }% + \providecommand\transparent[1]{% + \errmessage{(Inkscape) Transparency is used (non-zero) for the text in Inkscape, but the package 'transparent.sty' is not loaded}% + \renewcommand\transparent[1]{}% + }% + \providecommand\rotatebox[2]{#2}% + \newcommand*\fsize{\dimexpr\f@size pt\relax}% + \newcommand*\lineheight[1]{\fontsize{\fsize}{#1\fsize}\selectfont}% + \ifx\svgwidth\undefined% + \setlength{\unitlength}{414.12140625bp}% + \ifx\svgscale\undefined% + \relax% + \else% + \setlength{\unitlength}{\unitlength * \real{\svgscale}}% + \fi% + \else% + \setlength{\unitlength}{\svgwidth}% + \fi% + \global\let\svgwidth\undefined% + \global\let\svgscale\undefined% + \makeatother% + \begin{picture}(1,0.28116392)% + \lineheight{1}% + \setlength\tabcolsep{0pt}% + \put(0,0){\includegraphics[width=\unitlength,page=1]{BayerRedBlueSpacing.pdf}}% + \put(0.23,0.26532074){\color[rgb]{0,0,0}\makebox(0,0)[t]{\lineheight{1.25}\smash{\begin{tabular}[t]{c}2k + 1\end{tabular}}}}% + \put(0.317,0.26532074){\color[rgb]{0,0,0}\makebox(0,0)[t]{\lineheight{1.25}\smash{\begin{tabular}[t]{c}2k + 2\end{tabular}}}}% + \put(0.405,0.26532074){\color[rgb]{0,0,0}\makebox(0,0)[t]{\lineheight{1.25}\smash{\begin{tabular}[t]{c}2k + 3\end{tabular}}}}% + \put(0.13964564,0.11862463){\color[rgb]{0,0,0}\makebox(0,0)[t]{\lineheight{1.25}\smash{\begin{tabular}[t]{c}2k + 1\end{tabular}}}}% + \put(0.12153501,0.19468928){\color[rgb]{0,0,0}\makebox(0,0)[t]{\lineheight{1.25}\smash{\begin{tabular}[t]{c}2k\end{tabular}}}}% + \put(0.13964564,0.04255998){\color[rgb]{0,0,0}\makebox(0,0)[t]{\lineheight{1.25}\smash{\begin{tabular}[t]{c}2k + 2\end{tabular}}}}% + \put(0,0){\includegraphics[width=\unitlength,page=2]{BayerRedBlueSpacing.pdf}}% + \put(0.72643009,0.26532074){\color[rgb]{0,0,0}\makebox(0,0)[t]{\lineheight{1.25}\smash{\begin{tabular}[t]{c}2k\end{tabular}}}}% + \put(0.8000,0.26532074){\color[rgb]{0,0,0}\makebox(0,0)[t]{\lineheight{1.25}\smash{\begin{tabular}[t]{c}2k + 1\end{tabular}}}}% + \put(0.89,0.26532074){\color[rgb]{0,0,0}\makebox(0,0)[t]{\lineheight{1.25}\smash{\begin{tabular}[t]{c}2k + 2\end{tabular}}}}% + \put(0.62682162,0.11862463){\color[rgb]{0,0,0}\makebox(0,0)[t]{\lineheight{1.25}\smash{\begin{tabular}[t]{c}2k + 2\end{tabular}}}}% + \put(0.62682162,0.19468928){\color[rgb]{0,0,0}\makebox(0,0)[t]{\lineheight{1.25}\smash{\begin{tabular}[t]{c}2k + 1\end{tabular}}}}% + \put(0.62682162,0.04255998){\color[rgb]{0,0,0}\makebox(0,0)[t]{\lineheight{1.25}\smash{\begin{tabular}[t]{c}2k + 3\end{tabular}}}}% + \end{picture}% +\endgroup% diff --git a/Assignment_1/report/res/BayerRedBlueSpacing.svg b/Assignment_1/report/res/BayerRedBlueSpacing.svg new file mode 100644 index 0000000..df3847b --- /dev/null +++ b/Assignment_1/report/res/BayerRedBlueSpacing.svg @@ -0,0 +1,2 @@ + +
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[Not supported by viewer] \ No newline at end of file diff --git a/Assignment_1/report/res/BayerToRGBGrids.pdf_tex b/Assignment_1/report/res/BayerToRGBGrids.pdf_tex new file mode 100644 index 0000000..36dce5e --- /dev/null +++ b/Assignment_1/report/res/BayerToRGBGrids.pdf_tex @@ -0,0 +1,65 @@ +%% Creator: Inkscape inkscape 0.92.3, www.inkscape.org +%% PDF/EPS/PS + LaTeX output extension by Johan Engelen, 2010 +%% Accompanies image file 'BayerToRGBGrids.pdf' (pdf, eps, ps) +%% +%% To include the image in your LaTeX document, write +%% \input{.pdf_tex} +%% instead of +%% \includegraphics{.pdf} +%% To scale the image, write +%% \def\svgwidth{} +%% \input{.pdf_tex} +%% instead of +%% \includegraphics[width=]{.pdf} +%% +%% Images with a different path to the parent latex file can +%% be accessed with the `import' package (which may need to be +%% installed) using +%% \usepackage{import} +%% in the preamble, and then including the image with +%% \import{}{.pdf_tex} +%% Alternatively, one can specify +%% \graphicspath{{/}} +%% +%% For more information, please see info/svg-inkscape on CTAN: +%% http://tug.ctan.org/tex-archive/info/svg-inkscape +%% +\begingroup% + \makeatletter% + \providecommand\color[2][]{% + \errmessage{(Inkscape) Color is used for the text in Inkscape, but the package 'color.sty' is not loaded}% + \renewcommand\color[2][]{}% + }% + \providecommand\transparent[1]{% + \errmessage{(Inkscape) Transparency is used (non-zero) for the text in Inkscape, but the package 'transparent.sty' is not loaded}% + \renewcommand\transparent[1]{}% + }% + \providecommand\rotatebox[2]{#2}% + \newcommand*\fsize{\dimexpr\f@size pt\relax}% + \newcommand*\lineheight[1]{\fontsize{\fsize}{#1\fsize}\selectfont}% + \ifx\svgwidth\undefined% + \setlength{\unitlength}{417.27082031bp}% + \ifx\svgscale\undefined% + \relax% + \else% + \setlength{\unitlength}{\unitlength * \real{\svgscale}}% + \fi% + \else% + \setlength{\unitlength}{\svgwidth}% + \fi% + \global\let\svgwidth\undefined% + \global\let\svgscale\undefined% + \makeatother% + \begin{picture}(1,0.31229358)% + \lineheight{1}% + \setlength\tabcolsep{0pt}% + \put(0,0){\includegraphics[width=\unitlength,page=1]{BayerToRGBGrids.pdf}}% + \put(0.86294136,0.22467423){\color[rgb]{0,0,0}\makebox(0,0)[t]{\lineheight{1.25}\smash{\begin{tabular}[t]{c}Bayer Grid Red samples\end{tabular}}}}% + \put(0.87372573,0.17254981){\color[rgb]{0,0,0}\makebox(0,0)[t]{\lineheight{1.25}\smash{\begin{tabular}[t]{c}Bayer Grid Green samples\end{tabular}}}}% + \put(0.86473876,0.11862799){\color[rgb]{0,0,0}\makebox(0,0)[t]{\lineheight{1.25}\smash{\begin{tabular}[t]{c}Bayer Grid Blue samples\end{tabular}}}}% + \put(0.83058827,0.06470618){\color[rgb]{0,0,0}\makebox(0,0)[t]{\lineheight{1.25}\smash{\begin{tabular}[t]{c}RGB Grid sample\end{tabular}}}}% + \put(0,0){\includegraphics[width=\unitlength,page=2]{BayerToRGBGrids.pdf}}% + \put(0.12061771,0.1761446){\color[rgb]{0,0,0}\makebox(0,0)[t]{\lineheight{1.25}\smash{\begin{tabular}[t]{c}h\end{tabular}}}}% + \put(0.22846134,0.29656998){\color[rgb]{0,0,0}\makebox(0,0)[t]{\lineheight{1.25}\smash{\begin{tabular}[t]{c}l\end{tabular}}}}% + \end{picture}% +\endgroup% diff --git a/Assignment_1/report/res/BayerToRGBGrids.svg b/Assignment_1/report/res/BayerToRGBGrids.svg new file mode 100644 index 0000000..f1c8fcd --- /dev/null +++ b/Assignment_1/report/res/BayerToRGBGrids.svg @@ -0,0 +1,2 @@ + +
Bayer Grid Red samples
Bayer Grid Red samples
Bayer Grid Green samples
Bayer Grid Green samples
Bayer Grid Blue samples
Bayer Grid Blue samples
RGB Grid sample
RGB Grid sample
h
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