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2020 | OriginalPaper | Chapter

8. Efficient Visualization of Scattered Energy Distribution Data by Using Cubic Timmer Triangular Patches

Authors : Fatin Amani Mohd Ali, Samsul Ariffin Abdul Karim, Sarat Chandra Dass, Vaclav Skala, Mohammad Khatim Hasan, Ishak Hashim

Published in: Energy Efficiency in Mobility Systems

Publisher: Springer Singapore

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Abstract

This chapter discusses the application of the new cubic Timmer triangular patches constructed by Ali et al. [1] to interpolate the irregularly scattered data with C¹ continuity. In order to apply the cubic Timmer triangular patches for scattered data interpolation, the data is first triangulated by using the Delaunay algorithm, and then the sufficient condition for C¹ continuity is derived along the adjacent triangles. Two methods are used to calculate the cubic Timmer ordinates on each triangle. The convex combination between three local schemes T_i, i = 1, 2, 3 is used to produce the C¹ surface everywhere. The proposed scheme will be tested to visualize three types of energy data sets with irregular shape properties. Numerical and graphical results are presented using MATLAB. Comparisons of the proposed scheme with some existing procedures such as cubic Ball and cubic Bézier triangular patches are also carried out. The resulting surface produced by cubic Timmer triangular patch is better than that produced using cubic Ball and cubic Bezier triangular patches with an overall coefficient of determination R² value obtained to be larger than 0.8359.

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Title: Efficient Visualization of Scattered Energy Distribution Data by Using Cubic Timmer Triangular Patches
Authors: Fatin Amani Mohd Ali
Samsul Ariffin Abdul Karim
Sarat Chandra Dass
Vaclav Skala
Mohammad Khatim Hasan
Ishak Hashim
Publisher: Springer Singapore
Book: Energy Efficiency in Mobility Systems
Print ISBN: 978-981-15-0101-2

Electronic ISBN: 978-981-15-0102-9

Copyright Year: 2020
DOI: https://doi.org/10.1007/978-981-15-0102-9_8