Point inversion and projection for NURBS curve and surface: Control polygon approach

Ma, Ying Liang ORCID: https://orcid.org/0000-0001-5770-5843 and Hewitt, W. T. (2003) Point inversion and projection for NURBS curve and surface: Control polygon approach. Computer Aided Geometric Design, 20 (2). pp. 79-99. ISSN 1879-2332

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Abstract

This paper presents an accurate and efficient method to solve both point projection and point inversion for NURBS curves and surfaces. We first subdivide the NURBS curve or surface into a set of Bézier subcurves or patches. Based on the relationship between the test point and the control polygon of Bézier curve or the control point net of the Bézier patch, we extract candidate Bézier subcurves or Bézier patches and then find the approximate candidate points. Finally, by comparing the distances between the test point and candidate points, we are able to find the closest point. We improve its accuracy by using the Newton–Raphson method.

Item Type: Article
Faculty \ School: Faculty of Science > School of Computing Sciences
Related URLs:
Depositing User: LivePure Connector
Date Deposited: 05 Jan 2023 11:30
Last Modified: 11 Jan 2023 01:23
URI: https://ueaeprints.uea.ac.uk/id/eprint/90419
DOI: 10.1016/S0167-8396(03)00021-9

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