gaurav Posted January 5, 2012 Share Posted January 5, 2012 Help card for measure sop says. "The curvature is a measure of the difference between the point normal and the spread of all the edges a point shares." For standard box "magic number" is 1.41421. For which sqrt(2) is anybody's guess. Could someone explain the math involved. Thanks, p.s. - What if Pythagoreans had access to houdini ? Quote Link to comment Share on other sites More sharing options...
gaurav Posted January 5, 2012 Author Share Posted January 5, 2012 Quote Link to comment Share on other sites More sharing options...
Erik_JE Posted January 5, 2012 Share Posted January 5, 2012 http://en.wikipedia.org/wiki/Curvature Quote Link to comment Share on other sites More sharing options...
gaurav Posted January 5, 2012 Author Share Posted January 5, 2012 http://en.wikipedia.org/wiki/Curvature Thanks for the reply. As This article deals primarily with the extrinsic idea of curvature. I wonder if at all curvature of a polygonal surface calculated by measure sop has got anything to do with extrinsic point of view and is mathematically correct. (I may be completely wrong here*) And most importantly to understand Intrinsic curvature,defined at each point in a Riemannian manifold. I need a crash course in differential geometry. Any other intuitive explanations ? Quote Link to comment Share on other sites More sharing options...
Erik_JE Posted January 5, 2012 Share Posted January 5, 2012 This might be totally wrong but if i recall you don't use extrinsic curvature measures on polygon meshes as each polygon can be considered a single surface and you don't "bend" a polygon to create a case of extrinsic curvature. You merely subdivide to get more smaller flat surfaces. Quote Link to comment Share on other sites More sharing options...
hopbin9 Posted January 5, 2012 Share Posted January 5, 2012 This might be totally wrong but if i recall you don't use extrinsic curvature measures on polygon meshes as each polygon can be considered a single surface and you don't "bend" a polygon to create a case of extrinsic curvature. You merely subdivide to get more smaller flat surfaces. yea, what he said. It's all perfectly explained in this video. Quote Link to comment Share on other sites More sharing options...
gaurav Posted January 5, 2012 Author Share Posted January 5, 2012 yea, what he said. It's all perfectly explained in this video. LOL Little off the topic but "Donald in Mathmagic Land" is my fav. http://www.youtube.com/watch?v=YRD4gb0p5RM&feature=related I learnt more math from this ~1/2 hour animated film than i did in my entire high school. Sad they don't make films like this anymore. Cheers !! Quote Link to comment Share on other sites More sharing options...
hopbin9 Posted January 5, 2012 Share Posted January 5, 2012 that's was great. Watched the hole thing. I think I saw that when I was a kid. Quote Link to comment Share on other sites More sharing options...
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