Efficient 4x4 matrix inverse (affine transform) - Stack Overflow
网页2015年1月29日 · Even if you do need to store the matrix inverse, you can use the fact that it's affine to reduce the work computing the inverse, since you only need to invert a 3x3 matrix instead of 4x4. And if you know that it's a rotation, computing the transpose is much faster than computing the inverse, and in this case, they're equivalent. –
c++ - Inverting a 4x4 matrix - Stack Overflow
网页2020年2月24日 · This is because inverse (transpose (A)) = transpose (inverse (A)). @dfeuer It would take 72 multiplications to get the determinant first. While doing it first would actually be faster in case of non-invertible matrix, for an invertible matrix it saves 68 multiplications by doing it after.
Invert 4x4 matrix - Numerical most stable solution needed
网页2008年10月1日 · 13. I want to invert a 4x4 matrix. My numbers are stored in fixed-point format (1.15.16 to be exact). With floating-point arithmetic I usually just build the adjoint matrix and divide by the determinant (e.g. brute force the solution). That worked for me so far, but when dealing with fixed point numbers I get an unacceptable precision loss due ...
c++ - GLSL 1.3 inverse 4x4 matrix - Stack Overflow
网页2018年11月19日 · 1. I want to calculate the new normal vector and in GLSL 1.4 you can use this formula: normal = mat3 (transpose (inverse (modelview))) * in_Normal; But my version of GLSL is 1.3 and the function inverse is not available in this version.
python - Matrix inversion without Numpy - Stack Overflow
网页2015年8月20日 · To be precise is a 4x4 real matrix – Alessandro Vianello. ... Inverse matrix of 3x3 without numpy ...
math - Inverting a 4x4 Matrix algorithm - Stack Overflow
网页2013年7月3日 · 1. Your attempt to write down the inverse of a 4x4 matrix is utterly wrong. There's absolutely no point trying to fix it since it can never work. You ask what the result of 1/0 is. Well, that is division by zero and the result is not defined. There is no real number x that satisfies 1/0 == x. If there was then 1 == x*0 == 0, a contradiction.
Is 3x3 Matrix inverse possible using SIMD instructions?
网页2016年1月28日 · The method used by freevec is by splitting the 4x4 matrix into 4, 2x2 matrices, then carry out tiny operations on each and recombine the results in the end to get the inverse of 4x4 matrix. I don't see such an opportunity with 3x3 matrices. Anyone out there has an idea how to carry out 3x3 matrix inversion using SIMD instructions, it will be ...
- SSE - Matrix inverse with cramer 4x4, How do extends NxN?
网页2014年6月18日 · Elements of a matrix are not necessarily numbers, they could be matrices as well. E.g. you may think of 16x16 matrix of numbers as a 4x4 matrix with 4x4 matrix elements. Then you could use Cramer's rule to invert it. It is trivial to extend this principle to larger matrices. – Marat Dukhan.
c++ - Gaussian Elimination: Inverse 4x4 Matrix - Stack Overflow
网页2016年2月17日 · This looks like an attempt at Gauss-Jordan inversion of a matrix, but the code is hard to follow since it is a class that creates multiple of itself within member functions, so I can't be sure.
math - C++ - Calculating the inverse of a matrix - Stack Overflow
网页2020年2月19日 · The functions for calculating the determinant, the transpose- and the cofactor-matrix work correctly (as far as I can see), but the function for calculating the inverse-matrix doesn't. I searched the internet and found this, which uses the same function for calculating the inverse.