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440: 名前は開発中のものです。 [age] 2010/02/02(火) 08:32:00 ID:??? >>434 OpenGL, the most popular graphics library in the world, requires that z value in homogeneous clipping space be within the range between -w and w, as is the case with your platform. Historically, I believe, this type of projection matrices rather than DirectX-style projection matrices (0 < z < w) has been widly used. >>437 You can use the upper-left 3x3 matrix of your transform matrix (from world space to object space) to transform a direction vector into object space if and only if the 3x3 matrix is orthonormal, which means the 3x3 matrix represents pure rotation without any scaling or shearing. Otherwise (if the 3x3 matrix is not orthonormal), you need to use the inverse transpose of the upper-left 3x3 matrix instead. >>438 I agree. No Japanese translation is needed for us. 327, we hope you meet our request. Thanks in advance. http://mevius.5ch.net/test/read.cgi/gamedev/1012625860/440
441: 440 [sage] 2010/02/02(火) 09:01:00 ID:??? Sorry there are typos at the end of first paragraph. wrong: has been widly used. correct: have been widely used. http://mevius.5ch.net/test/read.cgi/gamedev/1012625860/441
442: 440 [sage] 2010/02/02(火) 09:15:00 ID:??? Oops, "has" is correct since the subject of that sentence is "the type" which is a singular noun. I'm so sorry to have interrupted our discussion. http://mevius.5ch.net/test/read.cgi/gamedev/1012625860/442
447: 327 [sage] 2010/02/02(火) 11:45:00 ID:??? >>438 >>440 Understood. http://mevius.5ch.net/test/read.cgi/gamedev/1012625860/447
456: 440 [sage] 2010/02/02(火) 16:11:00 ID:??? >>455 What I meant is that a "orthonormal" 3x3 matrix represents pure rotation. If a 3x3 matrix contains scaling or shearing, that matrix is NOT orthonormal. In this case, you must calculate the inverse of the transpose of the 3x3 matrix, instead of just using the original matrix, in order to transform "normal" vectors. However, you said in your previous post (I assume 437 = 455) that you wanted to transform "direction" vectors. Unlike normals, direction vectors can be transformed simply by using the upper-left 3x3 submatrix of the original 4x4 transform matrix. I'm very sorry to have mixed up "direction" with "normal." http://mevius.5ch.net/test/read.cgi/gamedev/1012625860/456
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