{"id":2720,"date":"2010-06-17T17:39:35","date_gmt":"2010-06-17T16:39:35","guid":{"rendered":"http:\/\/www.walkingrandomly.com\/?p=2720"},"modified":"2010-06-17T17:39:35","modified_gmt":"2010-06-17T16:39:35","slug":"matlab-says-hi","status":"publish","type":"post","link":"https:\/\/walkingrandomly.com\/?p=2720","title":{"rendered":"MATLAB says “Hi”"},"content":{"rendered":"

One of the earliest posts<\/a> I made on Walking Randomly (almost 3 years ago now – how time flies!) described the following equation and gave a plot of it in Mathematica.<\/p>\n

\"\light f(x,y)=e^{-x^2-\frac{y^2}{2}} \cos (4 x)+e^{-3\left((x+0.5)^2+\frac{y^2}{2}\right)} \"<\/p>\n

\"\"<\/p>\n

Some time later I followed this up with another blog post and a Wolfram Demonstration<\/a>.<\/p>\n

Well, over at Stack Overflow,<\/a> some people have been rendering this cool equation using MATLAB. Here’s the first version<\/p>\n

x = linspace(-3,3,50);\r\ny = linspace(-5,5,50);\r\n[X Y]=meshgrid(x,y);\r\nZ = exp(-X.^2-Y.^2\/2).*cos(4*X) + exp(-3*((X+0.5).^2+Y.^2\/2));\r\nZ(Z>0.001)=0.001;\r\nZ(Z<-0.001)=-0.001;\r\nsurf(X,Y,Z);\r\ncolormap(flipud(cool))\r\nview([1 -1.5 2])<\/pre>\n
\"\"<\/p>\n
and here’s the second.<\/p>\n
[x y] = meshgrid( linspace(-3,3,50), linspace(-5,5,50) );\r\nz = exp(-x.^2-0.5*y.^2).*cos(4*x) + exp(-3*((x+0.5).^2+0.5*y.^2));\r\nidx = ( abs(z)>0.001 );\r\nz(idx) = 0.001 * sign(z(idx)); \r\n\r\nfigure('renderer','opengl')\r\npatch(surf2patch(surf(x,y,z)), 'FaceColor','interp');\r\nset(gca, 'Box','on', ...\r\n    'XColor',[.3 .3 .3], 'YColor',[.3 .3 .3], 'ZColor',[.3 .3 .3], 'FontSize',8)\r\ntitle('$e^{-x^2 - \\frac{y^2}{2}}\\cos(4x) + e^{-3((x+0.5)^2+\\frac{y^2}{2})}$', ...\r\n    'Interpreter','latex', 'FontSize',12) \r\n\r\nview(35,65)\r\ncolormap( [flipud(cool);cool] )\r\ncamlight headlight, lighting phong<\/pre>\n
\"\"<\/p>\n
Do you have any cool graphs to share?<\/p>\n","protected":false},"excerpt":{"rendered":"
One of the earliest posts I made on Walking Randomly (almost 3 years ago now – how time flies!) described the following equation and gave a plot of it in Mathematica. Some time later I followed this up with another blog post and a Wolfram Demonstration. Well, over at Stack Overflow, some people have been […]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[6,4,8,11],"tags":[],"class_list":["post-2720","post","type-post","status-publish","format-standard","hentry","category-general-math","category-math-software","category-mathematica","category-matlab"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p3swhs-HS","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=\/wp\/v2\/posts\/2720","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2720"}],"version-history":[{"count":11,"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=\/wp\/v2\/posts\/2720\/revisions"}],"predecessor-version":[{"id":2731,"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=\/wp\/v2\/posts\/2720\/revisions\/2731"}],"wp:attachment":[{"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2720"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2720"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2720"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}