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Volume 32 • Number 2 • 2009 |
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Visualization of Rainfall Data Distribution Using Quintic Triangular Bézier Patches
Azizan Saaban, Ahmad Abd Majid and Abd Rahni Mt Piah
Abstract.
This paper discusses the use of a C2 interpolant which is positive
everywhere and the need to preserve positivity in the case of visualization of
rainfall data distribution of Peninsular Malaysia. The results from our previous
work, where sufficient conditions on Bézier points have been derived, will
be used in order to ensure that surfaces comprising quintic Bézier triangular
patches are always positive. The first and second derivatives at the data sites
are calculated and modified (if necessary) to ensure that these conditions are
satisfied. A number of examples are presented based on the average monthly
rainfall data in a particular year at various locations in Peninsular Malaysia.
2000 Mathematics Subject Classification: 41A05, 41A10, 65D05, 68U07.
Full text: PDF
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