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Improved Algorithm for Principal Curvature Estimation in Point Clouds due to Optimized Osculating Circle Fitting based on Geometric Algebra

Getto, Roman and Hildenbrand, Dietmar (2011):
Improved Algorithm for Principal Curvature Estimation in Point Clouds due to Optimized Osculating Circle Fitting based on Geometric Algebra.
pp. 105-112, University of West Bohemia, Plzen, WSCG 2011. Communication Papers Proceedings, [Conference or Workshop Item]

Abstract

In this paper we introduce our improvements and innovations to an algorithm for the estimation of principal curvatures in point clouds. The major part of the improvement is achieved by the use of a new osculating circle fitting. In this paper, first of all, we explain the algorithm for Principal Curvature Estimation, as well as the previous osculating circle fitting. Then we present the new osculating circle fitting and an additional possibility of improving the results by a method, which adjusts some variables of the algorithm at runtime, to adapt the algorithm to the denseness of the particular point cloud. Furthermore, we present some results of the new methods. To complete this paper, we give a conclusion and an outlook.

Item Type: Conference or Workshop Item
Erschienen: 2011
Creators: Getto, Roman and Hildenbrand, Dietmar
Title: Improved Algorithm for Principal Curvature Estimation in Point Clouds due to Optimized Osculating Circle Fitting based on Geometric Algebra
Language: English
Abstract:

In this paper we introduce our improvements and innovations to an algorithm for the estimation of principal curvatures in point clouds. The major part of the improvement is achieved by the use of a new osculating circle fitting. In this paper, first of all, we explain the algorithm for Principal Curvature Estimation, as well as the previous osculating circle fitting. Then we present the new osculating circle fitting and an additional possibility of improving the results by a method, which adjusts some variables of the algorithm at runtime, to adapt the algorithm to the denseness of the particular point cloud. Furthermore, we present some results of the new methods. To complete this paper, we give a conclusion and an outlook.

Publisher: University of West Bohemia, Plzen
Uncontrolled Keywords: Forschungsgruppe Geometric Algebra Computing (GACO), Geometric algebra (GA), Point clouds, Curvature, Point sets, Osculating circle fitting
Divisions: 20 Department of Computer Science
20 Department of Computer Science > Interactive Graphics Systems
Event Title: WSCG 2011. Communication Papers Proceedings
Date Deposited: 12 Nov 2018 11:16
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