Affine Geometry and Transformations

Affine Space:

• Vectors in form a vector space.
• Points in can be added to vectors to generate new points: .

Will Review:

• Linear Combinations
• Linear Transformations
• Affine Combinations
• Affine Transformations
• Matrix Representation of Transformations

 
• Linear Combinations
• Affine Combinations
• Affine Transformations
• Matrix Representation of Transformations
• Geometric Transformations
• Change of Basis
• Compositions of Transformations
• Ambiguity
• 3D Transformations
• World and Viewing Frames
• Transforming Normals