Homogeneous coordinate

Creator

Creator

Created

Created

2022 Oct 26 17:31

Editor

Editor

Edited

Edited

2023 Apr 19 15:21

Refs

Refs

We can’t do compute perspective projection

사영기하학에서 n차원 사영 공간을 n+1개의 좌표로 나타내는 좌표를 동차좌표라 한다

\begin{pmatrix} x \\ y \\ z \\ w \\ \end{pmatrix} = \begin{pmatrix} x /w \\ y /w \\ z /w \\ \end{pmatrix}

w로 1 많이 사용

normal coordinate is heterogeneous

notion image

Homogeneous Coordinates | Yasen Hu

In mathematics, homogeneous coordinates or projective coordinates is a system of coordinates used in projective geometry, as Cartesian coordinates used in Euclidean geometry. It is a coordinate system that algebraically treats all points in the projective plane (both Euclidean and ideal) equally. Suppose we have a point $(x,y)$ in the Cartesian coordinates.

Homogeneous Coordinates | Yasen Hu

https://yasenh.github.io/post/homogeneous-coordinates/

Homogeneous Coordinates | Yasen Hu

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