CS1550 Fundamentals For Computer Graphics Transformations-1 Sumanth Shankar California State University, Los Angeles

Scaling Scaling is achieved my multiplying coordinates as follows x’ = 2x y’ = 1.5y

Reflection To make a reflection of a shape relative to the y-axis, we simply reverse the sign of the x-coordinate, leaving the y-coordinate unchanged. x’ = -x y’ = y

Reflection To make a reflection of a shape relative to the x-axis, we simply reverse the sign of the y-coordinate, leaving the x-coordinate unchanged. x’ = x y’ = -y

Matrices 𝑥′ 𝑦′ = 𝑎 𝑏 𝑐 𝑑 . 𝑥 𝑦 x’ = ax + by y’ = cx + dy

Matrices The determinant of 2 X 2 matrix is a scalar quantity. 𝑎 𝑏 𝑐 𝑑 ad - bc