Title: | Robust Barycentric Coordinates Computation of the Closest Point to a Hyperplane in En |
Authors: | Skala, Václav |
Citation: | Recent Advances in Applied Mathematics and Computational Methods in Engineering: Proceedings of the 2013 International Conference on Applied Mathematics and Computational Methods in Engineering (AMCME 2013), p. 239-244. |
Issue Date: | 2013 |
Publisher: | WSEAS |
Document type: | konferenční příspěvek conferenceObject |
URI: | http://hdl.handle.net/11025/11772 |
ISBN: | 978-1-61804-200-2 |
Keywords: | projektivní geometrie;počítačová grafika;počítačové vidění;lineární systém rovnic |
Keywords in different language: | projective geometry;computer graphics;computer vision;linear system of equations |
Abstract: | Barycentric coordinates are well known and used in many applications. They are used for a position computation inside of an (n+1)-sided simplex in an n-dimensional space, i.e. in a triangle in E2 or in a tetrahedron in E3. There are some cases when the given point is theoretically on the hyperplane, i.e. on a plane in E3, but due to numerical imprecision is actually not. Also in some cases we need to compute barycentric coordinates of an n-sided simplex in an n-dimensional space, like barycentric coordinates of a point inside or outside of a triangle in a general position in E3. In those cases different approaches are taken, mostly unreliable and not robust in general. In this paper reliable and robust computation of barycentric coordinates for n-sided simplex in En is described. |
Rights: | Original paper published under copyright licence: © 2013 WSEAS |
Appears in Collections: | Konferenční příspěvky / Conference Papers (KIV) |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Skala_2013_Europment-Robust-Barycentric.pdf | Plný text | 544,71 kB | Adobe PDF | View/Open |
Please use this identifier to cite or link to this item:
http://hdl.handle.net/11025/11772
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.