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Estimating curvatures and their derivatives on meshes of arbitrary topology from sampling directions

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Abstract

Estimation of local differential geometry properties becomes an important processing step in a variety of applications, ranging from shape analysis and recognition to photorealistic image rendering. This paper presents yet another approach to compute those properties, with comparable numerical and accuracy performances to previous works. The key difference in our approach is simplicity, allowing for direct implementation on the GPU. Experimental results are provided to support our statement.

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Authors and Affiliations

  1. School of Electrical and Computer Engineering, Unicamp, 13083-970, Campinas, SP, Brazil

    Harlen Costa Batagelo & Shin-Ting Wu

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  1. Harlen Costa Batagelo
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  2. Shin-Ting Wu
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Correspondence to Harlen Costa Batagelo.

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Batagelo, H., Wu, ST. Estimating curvatures and their derivatives on meshes of arbitrary topology from sampling directions. Visual Comput 23, 803–812 (2007). https://doi.org/10.1007/s00371-007-0133-8

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  • DOI: https://doi.org/10.1007/s00371-007-0133-8

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