Curve and surface modeling with constrained b-spline wavelets.
The main purpose of this paper is the visualization of convex surface data to present a smooth. visually pleasing and interactive convexity preserving surfaces. The rational cubic function with three free parameters is extended to rational bi-cubic partially blended function to preserve the shape of...
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| Format: | Monograph |
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Universiti Sains Malaysia
2011
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| Online Access: | http://eprints.usm.my/31803/ |
| _version_ | 1848876658885394432 |
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| author | Awang, Mohd Nain |
| author_facet | Awang, Mohd Nain |
| author_sort | Awang, Mohd Nain |
| building | USM Institutional Repository |
| collection | Online Access |
| description | The main purpose of this paper is the visualization of convex surface data to present a smooth. visually pleasing and interactive convexity preserving surfaces. The rational cubic function with three free parameters is extended to rational bi-cubic partially blended function to preserve the shape of convex surface data. The function involves twelve free parameters in each rectangular patch. Data dependent constraints are derived for four of these parameters to preserve the shape of convex surface data while other eight are left free to user for the refinement of convexity preserving surface of data. Moreover, the scheme under discussion is C, flexible, simple, local and economical as compared to existing schemes.
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| first_indexed | 2025-11-15T17:03:03Z |
| format | Monograph |
| id | usm-31803 |
| institution | Universiti Sains Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-15T17:03:03Z |
| publishDate | 2011 |
| publisher | Universiti Sains Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | usm-318032017-08-29T07:56:14Z http://eprints.usm.my/31803/ Curve and surface modeling with constrained b-spline wavelets. Awang, Mohd Nain QA1 Mathematics (General) The main purpose of this paper is the visualization of convex surface data to present a smooth. visually pleasing and interactive convexity preserving surfaces. The rational cubic function with three free parameters is extended to rational bi-cubic partially blended function to preserve the shape of convex surface data. The function involves twelve free parameters in each rectangular patch. Data dependent constraints are derived for four of these parameters to preserve the shape of convex surface data while other eight are left free to user for the refinement of convexity preserving surface of data. Moreover, the scheme under discussion is C, flexible, simple, local and economical as compared to existing schemes. Universiti Sains Malaysia 2011 Monograph NonPeerReviewed Awang, Mohd Nain (2011) Curve and surface modeling with constrained b-spline wavelets. Project Report. Universiti Sains Malaysia. (Submitted) |
| spellingShingle | QA1 Mathematics (General) Awang, Mohd Nain Curve and surface modeling with constrained b-spline wavelets. |
| title | Curve and surface modeling with constrained b-spline wavelets. |
| title_full | Curve and surface modeling with constrained b-spline wavelets. |
| title_fullStr | Curve and surface modeling with constrained b-spline wavelets. |
| title_full_unstemmed | Curve and surface modeling with constrained b-spline wavelets. |
| title_short | Curve and surface modeling with constrained b-spline wavelets. |
| title_sort | curve and surface modeling with constrained b-spline wavelets. |
| topic | QA1 Mathematics (General) |
| url | http://eprints.usm.my/31803/ |