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| The Applications of Wavelets in Hierarchical Representations and Smoothing of Curves and Surfaces | |
| 摘 要： | ＴｈｅＡｐｐｌｉｃａｔｉｏｎｓｏｆＷａｖｅｌｅｔｓｉｎＨｉｅｒａｒｃｈｉｃａｌＲｅｐｒｅｓｅｎｔａｔｉｏｎｓａｎｄＳｍｏｏｔｈｉｎｇｏｆＣｕｒｖｅｓａｎｄＳｕｒｆａｃｅｓ①ＳｕｎＹａｎｋｕｉＺｈｕＸｉｎｘｉｏｎｇＭａＬｉｎｇＢｅｉｊｉｎｇＵｎｖｉｅｒ... |
The Applications of Wavelets in Hierarchical Representations and Smoothing of Curves and Surfaces |
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| Sun Yankui Zhu Xinxiong Ma Ling Beijing Unviersity of Aeronautics and Astronautics. The Applications of Wavelets in Hierarchical Representations and Smoothing of Curves and Surfaces[J]. CADDM, 1997, 0(2) | |
| Authors: | Sun Yankui Zhu Xinxiong Ma Ling Beijing Unviersity of Aeronautics and Astronautics |
| Affiliation: | Sun Yankui Zhu Xinxiong Ma Ling Beijing Unviersity of Aeronautics and Astronautics |
| Abstract: | Using wavelet technology is a new trend of investigating the representations and smoothing of curves and surfaces. This paper introduces the basic concept of hierarchical representations of curves, describes the definition and calculation of the endpoint_interpolating cubic B_spline wavelets, discusses the algorithm of curve/surface wavelet decomposition, and, finally, points out the feasibility of using wavelets to smooth curves and surfaces. |
| Keywords: | hierarchical representations B_spline wavelet scaling function smoothing |
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