Multivariate analysis of curvature estimators
| Autor: | Libor Váša, Guido Brunnett, Tom Kühnert |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Surface (mathematics)
Multivariate statistics Mathematical optimization Computational Mechanics Estimator 020207 software engineering 02 engineering and technology 010502 geochemistry & geophysics Curvature 01 natural sciences Computer Graphics and Computer-Aided Design Computational Mathematics Differential geometry 0202 electrical engineering electronic engineering information engineering Polygon mesh Segmentation Algorithm Smoothing 0105 earth and related environmental sciences Mathematics |
| Zdroj: | Computer-Aided Design and Applications. 14:58-69 |
| ISSN: | 1686-4360 |
| Popis: | Principal curvature is one of the defining features of surfaces studied in differential geometry. While well-defined and easy to evaluate for smooth surfaces, it cannot be evaluated exactly if the surface is represented by a polygon mesh, unless some special conditions apply. Nevertheless, estimating the curvature of a surface mesh is a crucial step in common mesh processing algorithms, such as mesh segmentation, mesh smoothing, remeshing and others. While a wealth of approaches for estimating the curvature has been proposed in the literature, aiming at the best possible precision of the estimation, an objective study identifying the strengths and weaknesses of the different methods was usually lacking. We present results of a comprehensive study focused on different aspects of curvature estimation. We extend some of the estimators in order to match properties of others and thus provide comparable results. The results of the study indicate that currently there is no one universally optimal method ... |
| Databáze: | OpenAIRE |
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