dc.contributor.author |
Li, Chang
|
en_US |
dc.date.accessioned |
2007-05-15T15:23:57Z |
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dc.date.available |
2007-05-15T15:23:57Z |
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dc.date.issued |
1997-06-01T00:00:00Z |
en_US |
dc.identifier.uri |
http://hdl.handle.net/1993/949 |
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dc.description.abstract |
By using the wavelets and curvature, I tried to get a high quality compact representation of a surface. I get better results than simple Haar wavelets with curvature subdivision and Local Haar wavelets on the mathematical range data surface. To estimate the curvature of a curve represented by discrete data, a three point algorithm is developed. A normal approximation algorithm and an algorithm to estimate the Gaussian curvature are also developed for surface. The latter algorithm has a stable and fast convergence. To present background knowledge, I describe the multiresolution analysis with matrix and filter bank representation, the endpoint-interpolating B-spline wavelets, and basics of differential geometry. Several selection strategies for wavelets such as threshold and $\rm L\sp2$ measurement are presented and tested. A simple location mapping algorithm for Haar wavelets is also studied. Finally I discuss the conclusions and future work. |
en_US |
dc.format.extent |
3736563 bytes |
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dc.format.extent |
184 bytes |
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dc.format.mimetype |
application/pdf |
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dc.format.mimetype |
text/plain |
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dc.language |
en |
en_US |
dc.language.iso |
en_US |
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dc.rights |
info:eu-repo/semantics/openAccess |
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dc.title |
Wavelets and the use of curvature to approximate surfaces |
en_US |
dc.type |
info:eu-repo/semantics/masterThesis |
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dc.degree.discipline |
Computer Science |
en_US |
dc.degree.level |
Master of Science (M.Sc.) |
en_US |