论文信息 - Interpolatory convexity-preserving subdivision schemes for curves and surfaces

Interpolatory convexity-preserving subdivision schemes for curves and surfaces

Abstract Interpolatory convexity-preserving subdivision shcemes for curves and surfaces are introduced, and a convergence analysis is presented. The schemes are defined by geometric constructions, and they are nonlinear in the control points. It is shown, by geometry-based proofs, that the limit curves and surfaces are C1.

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