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Range Restricted Interpolation Using Cubic Bézier Triangles.

A range restricted C1 interpolation local scheme to scattered data is derived. Each macro triangle of the triangulated domain is split into three mini triangles and the interpolating surface on each mini triangle is a cubic Bézier triangle. Sufficient conditions derived for the non-negativity of t...

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Main Authors: Kong, V.P., Ong, S.H., Saw, K.H.
Format: Conference or Workshop Item
Language:English
Published: 2004
Subjects:
QA1-939 Mathematics
Online Access:http://eprints.usm.my/9620/1/Range_Restricted_Interpolation_Using_Cubic_Bezier_Triangles_%28PPSMatematik%29_2003.pdf
http://eprints.usm.my/9620/
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id my.usm.eprints.9620
record_format eprints
spelling my.usm.eprints.9620 http://eprints.usm.my/9620/ Range Restricted Interpolation Using Cubic Bézier Triangles. Kong, V.P. Ong, S.H. Saw, K.H. QA1-939 Mathematics A range restricted C1 interpolation local scheme to scattered data is derived. Each macro triangle of the triangulated domain is split into three mini triangles and the interpolating surface on each mini triangle is a cubic Bézier triangle. Sufficient conditions derived for the non-negativity of these cubic Bézier triangles are expressed as lower bounds to the Bézier ordinates. The non-negativity preserving interpolation scheme extends to the construction of a range restricted interpolating surface with lower or upper constraints which are polynomial surfaces of degree up to three. The scheme is illustrated with graphical examples. 2004-02 Conference or Workshop Item PeerReviewed application/pdf en http://eprints.usm.my/9620/1/Range_Restricted_Interpolation_Using_Cubic_Bezier_Triangles_%28PPSMatematik%29_2003.pdf Kong, V.P. and Ong, S.H. and Saw, K.H. (2004) Range Restricted Interpolation Using Cubic Bézier Triangles. In: WSCG'2004 , February 2-6,2004, Plzen, Czech Republic..
institution Universiti Sains Malaysia
building Hamzah Sendut Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Sains Malaysia
content_source USM Institutional Repository
url_provider http://eprints.usm.my/
language English
topic QA1-939 Mathematics
spellingShingle QA1-939 Mathematics
Kong, V.P.
Ong, S.H.
Saw, K.H.
Range Restricted Interpolation Using Cubic Bézier Triangles.
description A range restricted C1 interpolation local scheme to scattered data is derived. Each macro triangle of the triangulated domain is split into three mini triangles and the interpolating surface on each mini triangle is a cubic Bézier triangle. Sufficient conditions derived for the non-negativity of these cubic Bézier triangles are expressed as lower bounds to the Bézier ordinates. The non-negativity preserving interpolation scheme extends to the construction of a range restricted interpolating surface with lower or upper constraints which are polynomial surfaces of degree up to three. The scheme is illustrated with graphical examples.
format Conference or Workshop Item
author Kong, V.P.
Ong, S.H.
Saw, K.H.
author_facet Kong, V.P.
Ong, S.H.
Saw, K.H.
author_sort Kong, V.P.
title Range Restricted Interpolation Using Cubic Bézier Triangles.
title_short Range Restricted Interpolation Using Cubic Bézier Triangles.
title_full Range Restricted Interpolation Using Cubic Bézier Triangles.
title_fullStr Range Restricted Interpolation Using Cubic Bézier Triangles.
title_full_unstemmed Range Restricted Interpolation Using Cubic Bézier Triangles.
title_sort range restricted interpolation using cubic bézier triangles.
publishDate 2004
url http://eprints.usm.my/9620/1/Range_Restricted_Interpolation_Using_Cubic_Bezier_Triangles_%28PPSMatematik%29_2003.pdf
http://eprints.usm.my/9620/
_version_ 1643701323149869056
score 13.211869

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