Next: Conic Sections and
Up: Projective Space
Previous: Vector and Affine
 Projective Space:

 Divide through by w


 All homogeneous points of the form ,
are equivalent
 Projects homogeneous points centrally onto the affine plane
 Relationship to Perspective:

 In rendering, the w values we generate
are proportional to z
 Equivalence corresponds to perspective projection
 More Generally:
 Rational splines
 Homogeneous spline curve
 Rational spline curve
 Affine projective spline curve
CS488/688: Introduction to Interactive Computer Graphics
University of Waterloo
Computer Graphics Lab
cs488@cgl.uwaterloo.ca