Visualization of rainfall data distribution using quintic triangular Bezier 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 Bezier points have been derived, wil...

Full description

Bibliographic Details
Main Authors: Saaban, Azizan, Abd Majid, Ahmad, Mt Piah, Abd Rahni
Format: Article
Language:English
Published: Universiti Sains Malaysia 2008
Subjects:
Online Access:https://repo.uum.edu.my/id/eprint/126/1/Azizan_Saaban%2C_and_Ahmad_Abd_Majid%2C_and_Abd_Rahni_Mt_Piah%2C_%28.pdf
Description
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 Bezier points have been derived, will be used in order to ensure that surfaces comprising quintic Bezier 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.