| Title: | An iterative method for rational pole curve fitting |
| Authors: | Chambelland, J. C. Daniel, M. Brun, J. M. |
| Citation: | WSCG '2006: Short Papers Proceedings: The 14-th International Conference in Central Europe on Computer Graphics, Visualization and Computer Vision 2006: University of West Bohemia, Plzen, Czech Republic, January 31 - February 2, 2006, p. 39-46. |
| Issue Date: | 2006 |
| Publisher: | Václav Skala - UNION Agency |
| Document type: | konferenční příspěvek conferenceObject |
| URI: | http://wscg.zcu.cz/WSCG2006/Papers_2006/Short/!WSCG2006_Short_Proceedings_Final.pdf http://hdl.handle.net/11025/6589 |
| ISBN: | 80-86943-05-4 |
| Keywords: | grafické algoritmy;iterační metoda;metoda nejmenších čtverců |
| Keywords in different language: | graphic algorithms;iteration methods;least-square fitting |
| Abstract: | This paper adresses the problem of least-square fitting with rational pole curves. The issue is to minimize a sum of squared Euclidean norms with respect to three types of unknowns: the control points, the node values, and the weights. A new iterative algorithm is proposed to solve this problem. The method alternates between three steps to converge towards a solution. One step uses the projection of the data points on the approximant to improve the node values, the two others use a gradient based technique to update the control point positions and the weight values. Experimental results are proposed with rational Bézier and NURBS curves. |
| Rights: | © Václav Skala - UNION Agency |
| Appears in Collections: | WSCG '2006: Short Papers Proceedings |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Chambelland.pdf | Plný text | 240,8 kB | Adobe PDF | View/Open |
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