Visualization of 4-Dimensional Scattered Data Linear Interpolation Based on Data Dependent Tetrahedrization


The Transactions of the Korea Information Processing Society (1994 ~ 2000), Vol. 3, No. 6, pp. 1553-1567, Nov. 1996
10.3745/KIPSTE.1996.3.6.1553,   PDF Download:

Abstract

The numerous applications of surface interpolation include the modeling and visualization of physical phenomena. A tetraheadrization os one of pre-processing steps for 4-D surface interpolation. the quality of a piecewise linear interpolation in 4-D space depends not only on the distribution of the data points in R2, but also on the data values. we show that the quality of approximation can be improved by data dependent tetrahedrization through visualization of 4-D space. This paper discusses Delaunay tetrahedrization method(sphere criterion) and one of the data dependent tetrahedrization methods(least squares fitting criterion). This paper also discusses new data dependent criteria:1) gradient difference, and 2) jump in normal direction derivatives.


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Cite this article
[IEEE Style]
L. Kun, "Visualization of 4-Dimensional Scattered Data Linear Interpolation Based on Data Dependent Tetrahedrization," The Transactions of the Korea Information Processing Society (1994 ~ 2000), vol. 3, no. 6, pp. 1553-1567, 1996. DOI: 10.3745/KIPSTE.1996.3.6.1553.

[ACM Style]
Lee Kun. 1996. Visualization of 4-Dimensional Scattered Data Linear Interpolation Based on Data Dependent Tetrahedrization. The Transactions of the Korea Information Processing Society (1994 ~ 2000), 3, 6, (1996), 1553-1567. DOI: 10.3745/KIPSTE.1996.3.6.1553.