Physically-based NURBS surface editing with curves
This paper presents a physically-based approach for NURBS surface modification using curve handles. The approach consists of three steps: curve handle creation, target curve generation, and surface modification. The handle curve is a composite curve that is a composition of a NURBS surface and a 2D...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2013
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/97365 http://hdl.handle.net/10220/13138 |
| _version_ | 1826113366970597376 |
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| author | Ma, Yuewen Zheng, Jianmin Wang, Kai |
| author2 | School of Computer Engineering |
| author_facet | School of Computer Engineering Ma, Yuewen Zheng, Jianmin Wang, Kai |
| author_sort | Ma, Yuewen |
| collection | NTU |
| description | This paper presents a physically-based approach for NURBS surface modification using curve handles. The approach consists of three steps: curve handle creation, target curve generation, and surface modification. The handle curve is a composite curve that is a composition of a NURBS surface and a 2D parametric curve defined in the parameter domain of the NURBS surface. The handle curve is treated as a physically-based dynamic curve whose formulation is derived directly based on the representation of the NURBS surface where the composition curve is defined. Then the target curve is generated as the result of dynamic evolution of the physically-based composition curve with external point forces. Finally, the initial handle curve and the target curve are used to define a curve force for the dynamic NURBS to modify the NURBS surface. The use of curves as shape handles makes the shape editing more effective and intuitive, and the incorporation of physics into geometric modeling makes the modeling process meaningful and the resulting surface smooth. Examples are provided to demonstrate the effectiveness and capability of the proposed NURBS manipulation method. |
| first_indexed | 2024-10-01T03:22:03Z |
| format | Journal Article |
| id | ntu-10356/97365 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T03:22:03Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | ntu-10356/973652020-05-28T07:18:30Z Physically-based NURBS surface editing with curves Ma, Yuewen Zheng, Jianmin Wang, Kai School of Computer Engineering DRNTU::Engineering::Computer science and engineering This paper presents a physically-based approach for NURBS surface modification using curve handles. The approach consists of three steps: curve handle creation, target curve generation, and surface modification. The handle curve is a composite curve that is a composition of a NURBS surface and a 2D parametric curve defined in the parameter domain of the NURBS surface. The handle curve is treated as a physically-based dynamic curve whose formulation is derived directly based on the representation of the NURBS surface where the composition curve is defined. Then the target curve is generated as the result of dynamic evolution of the physically-based composition curve with external point forces. Finally, the initial handle curve and the target curve are used to define a curve force for the dynamic NURBS to modify the NURBS surface. The use of curves as shape handles makes the shape editing more effective and intuitive, and the incorporation of physics into geometric modeling makes the modeling process meaningful and the resulting surface smooth. Examples are provided to demonstrate the effectiveness and capability of the proposed NURBS manipulation method. 2013-08-15T08:26:41Z 2019-12-06T19:41:54Z 2013-08-15T08:26:41Z 2019-12-06T19:41:54Z 2012 2012 Journal Article Ma, Y., Zheng, J., Wang, K. (2012). Physically-Based NURBS Surface Editing With Curves. Computer-Aided Design and Applications, 9(3), 361-374. 1686-4360 https://hdl.handle.net/10356/97365 http://hdl.handle.net/10220/13138 10.3722/cadaps.2012.361-374 en Computer-aided design and applications |
| spellingShingle | DRNTU::Engineering::Computer science and engineering Ma, Yuewen Zheng, Jianmin Wang, Kai Physically-based NURBS surface editing with curves |
| title | Physically-based NURBS surface editing with curves |
| title_full | Physically-based NURBS surface editing with curves |
| title_fullStr | Physically-based NURBS surface editing with curves |
| title_full_unstemmed | Physically-based NURBS surface editing with curves |
| title_short | Physically-based NURBS surface editing with curves |
| title_sort | physically based nurbs surface editing with curves |
| topic | DRNTU::Engineering::Computer science and engineering |
| url | https://hdl.handle.net/10356/97365 http://hdl.handle.net/10220/13138 |
| work_keys_str_mv | AT mayuewen physicallybasednurbssurfaceeditingwithcurves AT zhengjianmin physicallybasednurbssurfaceeditingwithcurves AT wangkai physicallybasednurbssurfaceeditingwithcurves |