G1 scattered data interpolation with minimized sum of squares of principal curvatures
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Institute of Electrical and Electronics Engineering (IEEE)
2009
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my.unimap-69842010-11-23T06:39:59Z G1 scattered data interpolation with minimized sum of squares of principal curvatures Azizan, Saaban Abd R Mt Piah Ahmad, Abdul Majid Chang Hooi Tuang, Lawrence Computational geometry Curve fitting Interpolation Mesh generation Surface fitting Computer programming Link to publisher's homepage at http://ieeexplore.ieee.org One of the main focus of scattered data interpolation is fitting a smooth surface to a set of non-uniformly distributed data points which extends to all positions in a prescribed domain. In this paper, given a set of scattered data V = {(xi, yi), i=1,...,n} ∈ R2 over a polygonal domain and a corresponding set of real numbers {zi}i=1n, we wish to construct a surface S which has continuous varying tangent plane everywhere (G1) such that S(xi, yi) = zi. Specifically, the polynomial being considered belong to G1 quartic Bezier functions over a triangulated domain. In order to construct the surface, we need to construct the triangular mesh spanning over the unorganized set of points, V which will then have to be covered with Bezier patches with coefficients satisfying the G1 continuity between patches and the minimized sum of squares of principal curvatures. Examples are also presented to show the effectiveness of our proposed method. 2009-08-18T07:24:44Z 2009-08-18T07:24:44Z 2005-07 Article p.385-390 0-7695-2392-7 http://ieeexplore.ieee.org/xpls/abs_all.jsp?=&arnumber=1521092 http://hdl.handle.net/123456789/6984 en Proceedings of the International Conference on Computer Graphics, Imaging and Vision: New Trends, 2005 Institute of Electrical and Electronics Engineering (IEEE) |
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Computational geometry Curve fitting Interpolation Mesh generation Surface fitting Computer programming |
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Computational geometry Curve fitting Interpolation Mesh generation Surface fitting Computer programming Azizan, Saaban Abd R Mt Piah Ahmad, Abdul Majid Chang Hooi Tuang, Lawrence G1 scattered data interpolation with minimized sum of squares of principal curvatures |
| description |
Link to publisher's homepage at http://ieeexplore.ieee.org |
| format |
Article |
| author |
Azizan, Saaban Abd R Mt Piah Ahmad, Abdul Majid Chang Hooi Tuang, Lawrence |
| author_facet |
Azizan, Saaban Abd R Mt Piah Ahmad, Abdul Majid Chang Hooi Tuang, Lawrence |
| author_sort |
Azizan, Saaban |
| title |
G1 scattered data interpolation with minimized sum of squares of principal curvatures |
| title_short |
G1 scattered data interpolation with minimized sum of squares of principal curvatures |
| title_full |
G1 scattered data interpolation with minimized sum of squares of principal curvatures |
| title_fullStr |
G1 scattered data interpolation with minimized sum of squares of principal curvatures |
| title_full_unstemmed |
G1 scattered data interpolation with minimized sum of squares of principal curvatures |
| title_sort |
g1 scattered data interpolation with minimized sum of squares of principal curvatures |
| publisher |
Institute of Electrical and Electronics Engineering (IEEE) |
| publishDate |
2009 |
| url |
http://dspace.unimap.edu.my/xmlui/handle/123456789/6984 |
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1643788622733770752 |