2022.03.26
[Computer Animation] Geometric Transformations
Geometric Transformations Geometric Transformation, $\mathbb{T}$ $\mathbb{T}$ is a function Geometric structure A → Geometric structure B A geo. structure is represented by a set of points or vectors in 2D o 3D in the general case. 2D Examples Scaling ● Scale by 2 in the y-axis. → $S(1, 2)$ ▶ $x^{'} = x$ ▶ $y^{'} = 2y$ ● Scale by 0.5 in the x-axis. → $S(0.5, 1)$ ▶ $x^{'} = 0.5x$ ▶ $y^{'} = y$ ● ..