【几何数学】概念的理解 —— (非)刚体变换((non-)rigid transformation)

xiaoxiao2021-02-27  257

1. 刚体变换与非刚体变换

What is a non-rigid transformation?

刚体变换(rigid transformation)一般分为如下几种:

平移对象,而不改变形状和大小;镜像(reflection),左右颠倒;旋转(rotation),沿着任意方向的旋转;

非刚体变换:描述的是对几何物体大小而非形状的改变。

也即:

刚体变换:shift or reflection(A rigid transformation preserves all distances and angle measures (and depending on your taste, orientation too),刚体变换能够继续保持物体中各点的距离和角度)非刚体变换:stretching or shrinking
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