---
title: "affine transformation"
type: concept
related: [Affine Transformation]
source: https://www.jemoka.com/posts/kbhaffine_transformation/
confidence: high
status: active
---

In math, an affine transformation is a transformation that preserves lines and parallelism.
For instance, here is an affine transformation:
\begin{equation} U&rsquo;(S) = mU(s) + b \end{equation}
where \(m &gt; 0\), and \(b\) is unconstrained.
https://en.wikipedia.org/wiki/Affine_transformation
