Technical Report CIS9803

Title: Surface Design Using Global Constraints on Total Curvature
Authors: Michael Plavnik and Gershon Elber
Abstract: Tensor product surfaces are now widely used in application areas from industrial design to computer animation. Yet, the quest for more effective design methods continues. We consider a new approach to the design of free form surfaces using global second order differential geometric constraints defined over the entire domain of the surface or a prescribed subset of it. This work considers two cases of convexity preservation and of developability preservation.
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