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G1 scattered data interpolation with minimized sum of squares of principal curvatures

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Main Authors: Azizan, Saaban, Abd R Mt Piah, Ahmad, Abdul Majid, Chang Hooi Tuang, Lawrence
Format: Article
Language:English
Published: Institute of Electrical and Electronics Engineering (IEEE) 2009
Subjects:
Computational geometry
Curve fitting
Interpolation
Mesh generation
Surface fitting
Computer programming
Online Access:http://dspace.unimap.edu.my/xmlui/handle/123456789/6984
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spelling 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)
institution Universiti Malaysia Perlis
building UniMAP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Perlis
content_source UniMAP Library Digital Repository
url_provider http://dspace.unimap.edu.my/
language English
topic Computational geometry
Curve fitting
Interpolation
Mesh generation
Surface fitting
Computer programming
spellingShingle 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
_version_ 1643788622733770752
score 13.222552

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