A hybrid parameterization method for NURBS
The problem of the parameterization of data points in NURBS curve/surface has been considered by amount of researchers. In this study, a new parameterization method considered as hybrid parameterization method is proposed. Like universal method, this method uses the property of "at each span in...
| Main Authors: | , |
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| Format: | Book Section |
| Language: | English |
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IEEE
2004
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| Online Access: | http://eprints.utm.my/9814/1/SitiMariyamShamsuddin2004_A_Hybrid_Parameterization_Method_for_NURBS.pdf |
| _version_ | 1796854585451610112 |
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| author | Shamsuddin, Siti Mariyam Ali Ahmed, Mahmoud |
| author_facet | Shamsuddin, Siti Mariyam Ali Ahmed, Mahmoud |
| author_sort | Shamsuddin, Siti Mariyam |
| collection | ePrints |
| description | The problem of the parameterization of data points in NURBS curve/surface has been considered by amount of researchers. In this study, a new parameterization method considered as hybrid parameterization method is proposed. Like universal method, this method uses the property of "at each span index, there is exactly one maximum value of the rational B-spline basis function". By taking the maximum rational B-spline basis functions as initial values, the centripetal method is applied to generate the parameter values of hybrid parameterization. This approach inherits the advantages of universal and centripetal methods such as allowing having multiple knots value. The proposed method gives better object shaped relevant to the other methods. The results on two simple data sets for both curves and surfaces show that this method is capable of generating smooth and fair object shape. |
| first_indexed | 2024-03-05T18:16:15Z |
| format | Book Section |
| id | utm.eprints-9814 |
| institution | Universiti Teknologi Malaysia - ePrints |
| language | English |
| last_indexed | 2024-03-05T18:16:15Z |
| publishDate | 2004 |
| publisher | IEEE |
| record_format | dspace |
| spelling | utm.eprints-98142017-08-15T04:15:01Z http://eprints.utm.my/9814/ A hybrid parameterization method for NURBS Shamsuddin, Siti Mariyam Ali Ahmed, Mahmoud QA75 Electronic computers. Computer science The problem of the parameterization of data points in NURBS curve/surface has been considered by amount of researchers. In this study, a new parameterization method considered as hybrid parameterization method is proposed. Like universal method, this method uses the property of "at each span index, there is exactly one maximum value of the rational B-spline basis function". By taking the maximum rational B-spline basis functions as initial values, the centripetal method is applied to generate the parameter values of hybrid parameterization. This approach inherits the advantages of universal and centripetal methods such as allowing having multiple knots value. The proposed method gives better object shaped relevant to the other methods. The results on two simple data sets for both curves and surfaces show that this method is capable of generating smooth and fair object shape. IEEE 2004 Book Section PeerReviewed application/pdf en http://eprints.utm.my/9814/1/SitiMariyamShamsuddin2004_A_Hybrid_Parameterization_Method_for_NURBS.pdf Shamsuddin, Siti Mariyam and Ali Ahmed, Mahmoud (2004) A hybrid parameterization method for NURBS. In: Proceedings International Conference On Computer Graphics, Imaging And Visualization. International Conference on Computer Graphics Imaging and Visualization . IEEE, USA, pp. 15-20. ISBN 0769521789; 978-076952178-7 http://doi.ieeecomputersociety.org/10.1109/CGIV.2004.1323954 10.1109/CGIV.2004.1323953 |
| spellingShingle | QA75 Electronic computers. Computer science Shamsuddin, Siti Mariyam Ali Ahmed, Mahmoud A hybrid parameterization method for NURBS |
| title | A hybrid parameterization method for NURBS |
| title_full | A hybrid parameterization method for NURBS |
| title_fullStr | A hybrid parameterization method for NURBS |
| title_full_unstemmed | A hybrid parameterization method for NURBS |
| title_short | A hybrid parameterization method for NURBS |
| title_sort | hybrid parameterization method for nurbs |
| topic | QA75 Electronic computers. Computer science |
| url | http://eprints.utm.my/9814/1/SitiMariyamShamsuddin2004_A_Hybrid_Parameterization_Method_for_NURBS.pdf |
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