Wavelets and the use of curvature to approximate surfaces
| dc.contributor.author | Li, Chang | en_US |
| dc.date.accessioned | 2007-05-15T15:23:57Z | |
| dc.date.available | 2007-05-15T15:23:57Z | |
| dc.date.issued | 1997-06-01T00:00:00Z | en_US |
| dc.degree.discipline | Computer Science | en_US |
| dc.degree.level | Master of Science (M.Sc.) | en_US |
| 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 | |
| dc.format.extent | 184 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.format.mimetype | text/plain | |
| dc.identifier.uri | http://hdl.handle.net/1993/949 | |
| dc.language.iso | eng | en_US |
| dc.rights | open access | en_US |
| dc.title | Wavelets and the use of curvature to approximate surfaces | en_US |
| dc.type | master thesis | en_US |