有谁可以介绍一下下， 什么是projection matrix （投影矩阵），以及它的性质？ 关注者 70 被浏览

Nov 24, 2023 · Yes, because any projection matrix $A$, i.e., with $A^2=A$ is conjugated to a block matrix with identity matrix of size $r$ and a zero block. Hence $trace (A)=r=rank (A)$.

I am looking for an intuitive reason for a projection matrix of an orthogonal projection to be symmetric. The algebraic proof is straightforward yet somewhat unsatisfactory. Take for …

在OpenGL中，view space (又称为eye space)中的一个3D point被投影到近裁剪面 (此处用近裁剪面作投影平面，projection plane)上。 下图3和图4显示了eye space中的一个点 是怎样被投影 …

If you can figure out which matrix that is, it's obvious that its inverse is again a projection matrix.

Jan 18, 2017 · From the matrix, it seems to generate the actual occlusion culling itself scaled proportionally to the projection matrix, at least when it comes to the near clipping plane. This …

Mar 25, 2018 · I need help finding the projection of a matrix onto the subspace W ⊂R3 W ⊂ R 3 given by the equation x + y + z = 0 x + y + z = 0 I am not sure what to start with to answer this …

Jan 2, 2021 · Projection matrix formula intuition Ask Question Asked 5 years ago Modified 4 years, 9 months ago

Dec 17, 2017 · represent the projection matrix in the plane with respect to the canonical basis. Suppose now we want find the projection matrix from the base B B to the canonical C C.

The fact that a projection matrix is Hermitian or not depends on your definition of projection matrices. Usually, if $P$ satisfies $PP = P$, then $P$ is idempotent, and is called a projection …