Designing composite triangular subdivision schemes

The paper iterates on the observation made independently by several groups of authors that building subdivision schemes out of simple, very local and geometrically invariant averaging rules is convenient both from a theoretical and practical point of view. We review the benefits of this approach with special emphasis on the smoothness analysis of the limit surfaces, derive certain guidelines for how to design reasonable composite schemes, and apply those to hex-by-seven subdivision.

• Type: Journal
• Year: 2005
• Where: CAGD
• Authors: Peter Oswald
• Keywords: CAGD 2005, Invariant Averaging, Practical Point, Reasonable Composite Schemes