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B-spline Surface Reconstruction by Inverse Subdivisions

Khoi Nguyen-Tan, Romain Raffin, Marc Daniel, Cung Le

Open publisher page 2 citations

Abstract

This paper presents a method to reconstruct a B-spline surface from a quadrangular mesh, using an inverse Catmull-Clark subdivision. We want to minimize the surface contraction due to the approximating subdivision scheme. We introduce geometrical operations which minimize the impact of the subdivision approximation and can be used in the parametric surface reconstruction. The quality of the method is evaluated by criteria of distances, curvatures or computing time on experimental results.

About this research paper

What this paper is about

This paper presents a method to reconstruct a B-spline surface from a quadrangular mesh, using an inverse Catmull-Clark subdivision. We want to minimize the surface contraction due to the approximating subdivision scheme. We introduce geometrical operations which minimize the impact of the subdivision approximation and can be used in the parametric surface reconstruction. The quality of the method is evaluated by criteria of distances, curvatures or computing time on experimental results.

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OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

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Method / approach

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Available abstract

This paper presents a method to reconstruct a B-spline surface from a quadrangular mesh, using an inverse Catmull-Clark subdivision. We want to minimize the surface contraction due to the approximating subdivision scheme. We introduce geometrical operations which minimize the impact of the subdivision approximation and can be used in the parametric surface reconstruction. The quality of the method is evaluated by criteria of distances, curvatures or computing time on experimental results.

Key concepts: Subdivision surface, Subdivision, Parametric surface, Spline (mechanical), Surface reconstruction, Surface (topology), Inverse, Parametric statistics

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