Free-form surface representation and approximation using T-splines
The problem of describing the surface information of a complex shaped object with a computer is often encountered in the fields of computer aided design and computer graphics. The surface of such an object could have arbitrary shape and is usually called the free-form surface. T-splines are a recen...
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| Other Authors: | |
| Format: | Thesis |
| Language: | English |
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2009
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| Online Access: | https://hdl.handle.net/10356/19090 |
| _version_ | 1826128348876636160 |
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| author | Wang, Yimin |
| author2 | Zheng Jianmin |
| author_facet | Zheng Jianmin Wang, Yimin |
| author_sort | Wang, Yimin |
| collection | NTU |
| description | The problem of describing the surface information of a complex shaped object with a computer is often encountered in the
fields of computer aided design and computer graphics. The surface of such an object could have arbitrary shape and is usually called the free-form surface. T-splines are a recently developed generalization of non-uniform rational B-splines (NURBS) technology
enabling local refinement, which can overcome many drawbacks of NURBS and offer a more flexible representation for free-form
surfaces. T-splines have a potential of becoming the next industry standard for free-form surfaces in high end animation and computer aided design industry. It is apparent that to permit this potential
to be fully realized, there must be developed solid mathematical theory and a comprehensive set of supporting algorithms. The research of this thesis therefore aims to investigate some fundamental algorithms of T-splines and to explore their use in
surface approximation. |
| first_indexed | 2024-10-01T07:23:31Z |
| format | Thesis |
| id | ntu-10356/19090 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T07:23:31Z |
| publishDate | 2009 |
| record_format | dspace |
| spelling | ntu-10356/190902023-03-04T00:40:11Z Free-form surface representation and approximation using T-splines Wang, Yimin Zheng Jianmin School of Computer Engineering Game Lab DRNTU::Engineering::Computer science and engineering::Computing methodologies::Computer graphics The problem of describing the surface information of a complex shaped object with a computer is often encountered in the fields of computer aided design and computer graphics. The surface of such an object could have arbitrary shape and is usually called the free-form surface. T-splines are a recently developed generalization of non-uniform rational B-splines (NURBS) technology enabling local refinement, which can overcome many drawbacks of NURBS and offer a more flexible representation for free-form surfaces. T-splines have a potential of becoming the next industry standard for free-form surfaces in high end animation and computer aided design industry. It is apparent that to permit this potential to be fully realized, there must be developed solid mathematical theory and a comprehensive set of supporting algorithms. The research of this thesis therefore aims to investigate some fundamental algorithms of T-splines and to explore their use in surface approximation. DOCTOR OF PHILOSOPHY (SCE) 2009-10-06T06:44:00Z 2009-10-06T06:44:00Z 2009 2009 Thesis Wang, Y. M. (2009). Free-form surface representation and approximation using T-splines. Doctoral thesis, Nanyang Technological University, Singapore. https://hdl.handle.net/10356/19090 10.32657/10356/19090 en 200 p. application/pdf |
| spellingShingle | DRNTU::Engineering::Computer science and engineering::Computing methodologies::Computer graphics Wang, Yimin Free-form surface representation and approximation using T-splines |
| title | Free-form surface representation and approximation using T-splines |
| title_full | Free-form surface representation and approximation using T-splines |
| title_fullStr | Free-form surface representation and approximation using T-splines |
| title_full_unstemmed | Free-form surface representation and approximation using T-splines |
| title_short | Free-form surface representation and approximation using T-splines |
| title_sort | free form surface representation and approximation using t splines |
| topic | DRNTU::Engineering::Computer science and engineering::Computing methodologies::Computer graphics |
| url | https://hdl.handle.net/10356/19090 |
| work_keys_str_mv | AT wangyimin freeformsurfacerepresentationandapproximationusingtsplines |