Reconstruction of smooth parametric surfaces from unorganized data points

Lian Fang; David C. Gossard

doi:10.1117/12.131749

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1 November 1992 Reconstruction of smooth parametric surfaces from unorganized data points

Lian Fang, David C. Gossard

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Proceedings Volume 1830, Curves and Surfaces in Computer Vision and Graphics III; (1992) https://doi.org/10.1117/12.131749
Event: Applications in Optical Science and Engineering, 1992, Boston, MA, United States

Abstract

This article describes a method that uses deformable curves and deformable surfaces to generate a C¹ continuous parametric surface from unorganized data points. The triangular patch was used as the surface element for generating an n-sided surface. A new method for generating the topology is also presented. The concept of elastically deformable shapes attracted toward data points by spring-like forces is used to seek the optimal shape which minimizes an associated energy functional.

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Lian Fang and David C. Gossard "Reconstruction of smooth parametric surfaces from unorganized data points", Proc. SPIE 1830, Curves and Surfaces in Computer Vision and Graphics III, (1 November 1992); https://doi.org/10.1117/12.131749

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