AG 1, AG 2, AG 3, AG 4   Info

Expert Audience

-- Not specified --

Saarbrücken

Today's Computer Graphics is ostensibly based on insights from projective geometry and
computations involving homogeneous coordinates. Yet we will see in this talk that projective
spaces and homogeneous coordinates are incompatible with much of the algebra and
goemetry currently in use in Computer Graphics and Geometric Modeling, including the
construction of basic parametric curves and surfaces, standard shading algorithms, and
conventional texture maps. We shall propose Grassmann spaces as an alternative to
projective spaces and show that even the transformations in the graphics pipeline are more
easily supported in Grassmann space than in projective space. Additional applications of
Grassmann spaces in Computer Graphics will also be presented in this talk.

Christian Schulte

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