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

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 $\mathcal {B}$ to the canonical …

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 …

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 $trace (A)=r=rank (A)$.

linear-algebra matrices projection projection-matrices idempotents See similar questions with these tags.

I understand that the trace of the projection matrix (also known as the "hat" matrix) X*Inv(X'X)*X' in linear regression is equal to the rank of X. How can we prove that from first principles, i.e.

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 …

10 Assuming you mean the orthogonal projection onto the plane $W$ given by the equation $x-y-z$, it is equal to the identity minus the orthogonal projection onto $W^\perp$, which is sightly …

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

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 …