task 1 solution

task1/convolution.hpp

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+/*
+MIT License
+
+Copyright (c) 2023 Society of Robotics and Automation
+
+Permission is hereby granted, free of charge, to any person obtaining a copy
+of this software and associated documentation files (the "Software"), to deal
+in the Software without restriction, including without limitation the rights
+to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+copies of the Software, and to permit persons to whom the Software is
+furnished to do so, subject to the following conditions:
+
+The above copyright notice and this permission notice shall be included in all
+copies or substantial portions of the Software.
+
+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+SOFTWARE.
+*/
+#ifndef CONVOLUTION_HPP
+#define CONVOLUTION_HPP
+
+#include <opencv2/opencv.hpp>
+
+cv::Mat convolve(cv::Mat, cv::Mat); // Declaring which function to be accessed while linking the two cpp files
+
+#endif
+

task1/include/convolution.hpp

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+/*
+MIT License
+
+Copyright (c) 2023 Society of Robotics and Automation
+
+Permission is hereby granted, free of charge, to any person obtaining a copy
+of this software and associated documentation files (the "Software"), to deal
+in the Software without restriction, including without limitation the rights
+to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+copies of the Software, and to permit persons to whom the Software is
+furnished to do so, subject to the following conditions:
+
+The above copyright notice and this permission notice shall be included in all
+copies or substantial portions of the Software.
+
+THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+SOFTWARE.
+*/
+#ifndef CONVOLUTION_HPP
+#define CONVOLUTION_HPP
+
+#include <opencv2/opencv.hpp>
+
+cv::Mat convolve(cv::Mat, cv::Mat); // Declaring which function to be accessed while linking the two cpp files
+
+#endif
+

task1/sol1.cpp

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+
+#include <iostream>
+#include <opencv2/opencv.hpp>
+#include<opencv2/highgui.hpp>
+#include<opencv2/imgcodecs.hpp>
+#include<opencv2/imgproc.hpp>
+#include "convolution.hpp"
+
+
+using namespace std;
+cv::Mat convolve(cv::Mat, cv::Mat);
+int main()
+{
+     cv::Mat img = cv::imread("./assets/hogwarts.png", cv::IMREAD_GRAYSCALE);
+    if (img.empty()) {
+        cerr << "Could not load image at ./assets/hogwarts.png\n";
+        return -1;
+    }
+     cv::resize(img, img, cv::Size(img.cols*0.5, img.rows*0.5));
+
+    // The two kernels — do not change these
+    cv::Mat K1 = (cv::Mat_<double>(3, 3) <<
+         1,  2,  1,
+         0,  0,  0,
+        -1, -2, -1
+    );
+
+    cv::Mat K2 = (cv::Mat_<double>(3, 3) <<
+         1,  0, -1,
+         2,  0, -2,
+         1,  0, -1
+    );
+    cv::Mat gaussian_v1 = (cv::Mat_<double>(3, 1) << 1., 0. , 1.);
+    cv::Mat gaussian_h1 = (cv::Mat_<double>(1, 3) << 1., 2. ,1.);
+    cv::Mat gaussian_h2 = (cv::Mat_<double>(1, 3) << 1., 0. , 1.);
+    cv::Mat gaussian_v2 = (cv::Mat_<double>(3, 1) << 1., 2. ,1.);
+
+    cv::Mat intermediate1 = convolve(img, gaussian_v1);         // Convolve Vertically
+    cv::Mat output1 = convolve(intermediate1, gaussian_h1);
+    cv::Mat intermediate2 = convolve(output1, gaussian_v2); 
+    cv::Mat img_f;        // Convolve Vertically
+    img_f= convolve(intermediate2, gaussian_h2);
+
+
+    img.convertTo(img_f, CV_64FC1);
+
+    cv::namedWindow("Output by Naive Seperable Convolution", cv::WINDOW_NORMAL);
+    cv::imshow("Output by Naive Seperable Convolution",img_f);
+    cv::waitKey(0);
+    // TODO: apply K1 and K2 to img_f with as few multiplications per pixel as possible.
+    // Print the number of multiplications your approach uses per pixel.
+
+    return 0;
+}

task1/sol2.cpp

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+#include <iostream>
+#include <opencv2/opencv.hpp>
+#include<opencv2/highgui.hpp>
+#include<opencv2/imgcodecs.hpp>
+#include<opencv2/imgproc.hpp>
+
+
+using namespace std;
+
+int main()
+{
+     cv::Mat img = cv::imread("./assets/hogwarts.png", cv::IMREAD_GRAYSCALE);
+    if (img.empty()) {
+        cerr << "Could not load image at ./assets/hogwarts.png\n";
+        return -1;
+    }
+     cv::resize(img, img, cv::Size(img.cols*0.5, img.rows*0.5));
+
+    // The two kernels — do not change these
+    cv::Mat K1 = (cv::Mat_<double>(3, 3) <<
+         1,  2,  1,
+         0,  0,  0,
+        -1, -2, -1
+    );
+
+    cv::Mat K2 = (cv::Mat_<double>(3, 3) <<
+         1,  0, -1,
+         2,  0, -2,
+         1,  0, -1
+    );
+     cv::Mat gaussian_v1 = (cv::Mat_<double>(3, 1) << 1., 0. , 1.);
+    cv::Mat gaussian_h1 = (cv::Mat_<double>(1, 3) << 1., 2. ,1.);
+    cv::Mat gaussian_h2 = (cv::Mat_<double>(1, 3) << 1., 0. , 1.);
+    cv::Mat gaussian_v2 = (cv::Mat_<double>(3, 1) << 1., 2. ,1.);
+    cv::Mat inter1;
+    cv::Mat output1;
+    cv::Mat inter2;
+    cv::Mat intermediate1  
+
+
+
+    // using the built-in function
+    cv::filter2D(img, inter1, -1,gaussian_v1 , cv::Point(-1, -1), 0.0, cv::BorderTypes::BORDER_REPLICATE);
+     cv::filter2D(inter1, output1, -1,gaussian_h1 , cv::Point(-1, -1), 0.0, cv::BorderTypes::BORDER_REPLICATE);
+      cv::filter2D(output1, inter2, -1,gaussian_v2 , cv::Point(-1, -1), 0.0, cv::BorderTypes::BORDER_REPLICATE);
+       cv::filter2D(img, inter2, -1,gaussian_h2 , cv::Point(-1, -1), 0.0, cv::BorderTypes::BORDER_REPLICATE);
+        img.convertTo(img_f, CV_64FC1);
+    cv::imshow("filter 2D output", img_f);
+    cv::waitKey(0);
+    return 0;
+}