Lec01

Lec02

  • 右手系的定义
  • 叉乘
    • 计算：元素法 / 矩阵法
    • 作用：判定左右 / 内外

Lec03 Transformation

  • 2D transformation

    • scale

      image-20230707233503285

    • reflection

    • shear

    • rotation

    • Linear Transforms = Matrices $$ \begin{array}{c} x^{\prime} = a x+b y \ y^{\prime} = c x+d y \ {\left[\begin{array}{l} x^{\prime} \ y^{\prime} \end{array}\right] } = \left[\begin{array}{ll} a & b \ c & d \end{array}\right]\left[\begin{array}{l} x \ y \end{array}\right] \ \mathbf{x}^{\prime} = \mathbf{M} \mathbf{x} \end{array} $$

    • 平移变换，引入齐次坐标 Homogeneous Coordinates