Visualization of Rainfall Data Distribution Using Quintic Triangular Bézier Patches

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, wil...

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Bibliographic Details
Published inBulletin of the Malaysian Mathematical Sciences Society Vol. 32; no. 2
Main Authors Saaban, Azizan, Majid, Ahmad Abd, Piah, Rahni Mt
Format Journal Article
LanguageEnglish
Published Heidelberg Springer Nature B.V 01.01.2009
Subjects
Mathematics
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ISSN0126-6705
2180-4206

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Summary: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.
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ISSN:0126-6705
2180-4206