Compuer Animation(Postgraduate Course): Lecture 3:Representation of transformation and rotation
Welcome file Lecture 3: Representation of transformation and rotation Motion Specification : Low level techniques (techniques that aid the animator in precisely specifying motion) High level techniques (techniques used to describe general motion behavior) Translate, scale and rotation are all below to low level. Transformation can be used to change the position of objects; Set animations for objects and light source. Technical Background : Spaces and transformations: Coordinate Space: left-handed, right-handed, local coordinates system, global coordinates system. Viewing pipeline: Homogeneous coordinate, Transformation matrix, Matrix Concatenation Orientation representation: Rotation matrix Fixed angle Euler angle Angle and Axis Quaternion I.Representation of Transformation 1.1.3-D Transformations Translate, scale, or rotate a point p p p to p ′ p' p ′ : p ′ = p + T p'=p+T p ′ = p + T p ′ = S p p'=Sp ...