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Filling N-sided Holes Using Combined Subdivision Schemes

A. L. Levin

Open publisher page 11 citations

Abstract

A new method is presented for calculating N-sided surface patches. The algorithm generates a subdivision surface which satisfies arbitrary C boundary conditions. The proposed subdivision scheme is based on a Catmull-Clark type subdivision scheme that operates in the surface interior. Near the boundary we introduce new subdivision rules that involve the given boundary conditions. The generated subdivision surface is C -continuous except at one extraordinary point. In the neighborhood of this point the surface curvature is bounded.

About this research paper

What this paper is about

A new method is presented for calculating N-sided surface patches. The algorithm generates a subdivision surface which satisfies arbitrary C boundary conditions. The proposed subdivision scheme is based on a Catmull-Clark type subdivision scheme that operates in the surface interior. Near the boundary we introduce new subdivision rules that involve the given boundary conditions. The generated subdivision surface is C -continuous except at one extraordinary point. In the neighborhood of this point the surface curvature is bounded.

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OpenAlex reports 11 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

A new method is presented for calculating N-sided surface patches. The algorithm generates a subdivision surface which satisfies arbitrary C boundary conditions. The proposed subdivision scheme is based on a Catmull-Clark type subdivision scheme that operates in the surface interior. Near the boundary we introduce new subdivision rules that involve the given boundary conditions. The generated subdivision surface is C -continuous except at one extraordinary point. In the neighborhood of this point the surface curvature is bounded.

Key concepts: Subdivision, Subdivision surface, Surface (topology), Mathematics, Boundary (topology), Bounded function, Curvature, Point (geometry)

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