Abstract
We investigate surfaces which interpolate given boundary curves. We show that the discrete bilinearly blended Coons patch can be defined as the solution of a linear system. With the goal of producing better shape than the Coons patch, this idea is generalized, resulting in a new method based on a blend of variational principles. We show that no single blend of variational principles can produce 'good' shape for all boundary curve geometries. We also discuss triangular Coons patches and point out the connections to the rectangular case.
Original language | English (US) |
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Pages (from-to) | 691-700 |
Number of pages | 10 |
Journal | Computer Aided Geometric Design |
Volume | 16 |
Issue number | 7 |
DOIs | |
State | Published - Aug 1999 |
ASJC Scopus subject areas
- Modeling and Simulation
- Automotive Engineering
- Aerospace Engineering
- Computer Graphics and Computer-Aided Design