{"id":19780,"date":"2022-11-07T17:40:38","date_gmt":"2022-11-07T12:10:38","guid":{"rendered":"https:\/\/jassweb.com\/solved\/solved-image-shearing-c\/"},"modified":"2022-11-07T17:40:38","modified_gmt":"2022-11-07T12:10:38","slug":"solved-image-shearing-c","status":"publish","type":"post","link":"https:\/\/jassweb.com\/solved\/solved-image-shearing-c\/","title":{"rendered":"[Solved] Image Shearing C++"},"content":{"rendered":"<p> [ad_1]<br \/>\n<\/p>\n<div id=\"answer-47042795\" class=\"answer js-answer accepted-answer js-accepted-answer\" data-answerid=\"47042795\" data-parentid=\"46998895\" data-score=\"1\" data-position-on-page=\"1\" data-highest-scored=\"1\" data-question-has-accepted-highest-score=\"1\" itemprop=\"acceptedAnswer\" itemscope itemtype=\"https:\/\/schema.org\/Answer\">\n<div class=\"post-layout\">\n<div class=\"votecell post-layout--left\"><\/div>\n<div class=\"answercell post-layout--right\">\n<div class=\"s-prose js-post-body\" itemprop=\"text\">\n<p>I found some time to work on this.<br \/>\nNow I understand what you tried to achieve with the offset computation, but I&#8217;m not sure whether yours is correct.<\/p>\n<p>Just change all the <code>cv::Vec3b<\/code> to <code>unsigned char<\/code> or <code>uchar<\/code> and load as grayscale, if wanted.<\/p>\n<p>Please try this code and maybe you&#8217;ll find your error:<\/p>\n<pre><code>\/\/ no interpolation yet\n\/\/ cv::Vec3b only\ncv::Mat shear(const cv::Mat &amp; input, float Bx, float By)\n{\n    if (Bx*By == 1)\n    {\n        throw(\"Shearing: Bx*By==1 is forbidden\");\n    }\n\n\n    if (input.type() != CV_8UC3) return cv::Mat();\n\n    \/\/ shearing:\n    \/\/ x'=x+y\u00b7Bx\n    \/\/ y'=y+x*By\n\n    \/\/ shear the extreme positions to find out new image size:\n    std::vector&lt;cv::Point2f&gt; extremePoints;\n    extremePoints.push_back(cv::Point2f(0, 0));\n    extremePoints.push_back(cv::Point2f(input.cols, 0));\n    extremePoints.push_back(cv::Point2f(input.cols, input.rows));\n    extremePoints.push_back(cv::Point2f(0, input.rows));\n\n    for (unsigned int i = 0; i &lt; extremePoints.size(); ++i)\n    {\n        cv::Point2f &amp; pt = extremePoints[i];\n        pt = cv::Point2f(pt.x + pt.y*Bx, pt.y + pt.x*By);\n    }\n\n    cv::Rect offsets = cv::boundingRect(extremePoints);\n\n    cv::Point2f offset = -offsets.tl();\n    cv::Size resultSize = offsets.size();\n\n    cv::Mat shearedImage = cv::Mat::zeros(resultSize, input.type()); \/\/ every pixel here is implicitely shifted by \"offset\"\n\n    \/\/ perform the shearing by back-transformation\n    for (int j = 0; j &lt; shearedImage.rows; ++j)\n    {\n\n        for (int i = 0; i &lt; shearedImage.cols; ++i)\n        {\n            cv::Point2f pp(i, j);\n\n            pp = pp - offset; \/\/ go back to original coordinate system\n\n            \/\/ go back to original pixel:\n            \/\/ x'=x+y\u00b7Bx\n            \/\/ y'=y+x*By\n            \/\/   y = y'-x*By\n            \/\/     x = x' -(y'-x*By)*Bx \n            \/\/     x = +x*By*Bx - y'*Bx +x'\n            \/\/     x*(1-By*Bx) = -y'*Bx +x'\n            \/\/     x = (-y'*Bx +x')\/(1-By*Bx)\n\n            cv::Point2f p;\n            p.x = (-pp.y*Bx + pp.x) \/ (1 - By*Bx);\n            p.y = pp.y - p.x*By;\n\n            if ((p.x &gt;= 0 &amp;&amp; p.x &lt; input.cols) &amp;&amp; (p.y &gt;= 0 &amp;&amp; p.y &lt; input.rows))\n            {\n                \/\/ TODO: interpolate, if wanted (p is floating point precision and can be placed between two pixels)!\n                shearedImage.at&lt;cv::Vec3b&gt;(j, i) = input.at&lt;cv::Vec3b&gt;(p);\n            }\n        }\n    }\n\n    return shearedImage;\n}\n\n\nint main(int argc, char* argv[])\n{\n    cv::Mat input = cv::imread(\"C:\/StackOverflow\/Input\/Lenna.png\");\n\n    cv::Mat output = shear(input, 0.7, 0);\n    \/\/cv::Mat output = shear(input, -0.7, 0);\n    \/\/cv::Mat output = shear(input, 0, 0.7);\n\n    cv::imshow(\"input\", input);\n    cv::imshow(\"output\", output);\n\n    cv::waitKey(0);\n    return 0;\n}\n<\/code><\/pre>\n<p>Giving me these outputs for the 3 sample lines:<\/p>\n<p><a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/jassweb.com\/solved\/wp-content\/uploads\/2022\/11\/Solved-Image-Shearing-C.png\"><img decoding=\"async\" src=\"https:\/\/jassweb.com\/solved\/wp-content\/uploads\/2022\/11\/Solved-Image-Shearing-C.png\" alt=\"enter image description here\"><\/a><\/p>\n<p><a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/jassweb.com\/solved\/wp-content\/uploads\/2022\/11\/1667823038_442_Solved-Image-Shearing-C.png\"><img decoding=\"async\" src=\"https:\/\/jassweb.com\/solved\/wp-content\/uploads\/2022\/11\/1667823038_442_Solved-Image-Shearing-C.png\" alt=\"enter image description here\"><\/a><\/p>\n<p><a rel=\"nofollow noopener\" target=\"_blank\" href=\"https:\/\/jassweb.com\/solved\/wp-content\/uploads\/2022\/11\/1667823038_565_Solved-Image-Shearing-C.png\"><img decoding=\"async\" src=\"https:\/\/jassweb.com\/solved\/wp-content\/uploads\/2022\/11\/1667823038_565_Solved-Image-Shearing-C.png\" alt=\"enter image description here\"><\/a><\/p>\n<\/p><\/div>\n<div class=\"mt24\"><\/div>\n<\/div>\n<p>            <span class=\"d-none\" itemprop=\"commentCount\"><\/span> <\/p><\/div>\n<\/div>\n<p>[ad_2]<\/p>\n<p>solved Image Shearing C++ <\/p>\n","protected":false},"excerpt":{"rendered":"<p>[ad_1] I found some time to work on this. Now I understand what you tried to achieve with the offset computation, but I&#8217;m not sure whether yours is correct. Just change all the cv::Vec3b to unsigned char or uchar and load as grayscale, if wanted. Please try this code and maybe you&#8217;ll find your error: &#8230; <a title=\"[Solved] Image Shearing C++\" class=\"read-more\" href=\"https:\/\/jassweb.com\/solved\/solved-image-shearing-c\/\" aria-label=\"More on [Solved] Image Shearing C++\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[320],"tags":[324,881,1087],"class_list":["post-19780","post","type-post","status-publish","format-standard","hentry","category-solved","tag-c","tag-image-processing","tag-opencv"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>[Solved] Image Shearing C++ - JassWeb<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/jassweb.com\/solved\/solved-image-shearing-c\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"[Solved] Image Shearing C++ - JassWeb\" \/>\n<meta property=\"og:description\" content=\"[ad_1] I found some time to work on this. Now I understand what you tried to achieve with the offset computation, but I&#8217;m not sure whether yours is correct. Just change all the cv::Vec3b to unsigned char or uchar and load as grayscale, if wanted. Please try this code and maybe you&#8217;ll find your error: ... 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