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Proceedings Paper

Visualization of multiresolution model for volumetric medical data by using weighted alpha shapes
Author(s): Kun Lee
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Paper Abstract

In real world applications, given data points are located arbitraily rather than in a regular distribution. The numerous applications of volumetric scattered data can be enumerated, such as computational fluid dynamics, medicine, terrain modeling and oil exploration. Multiresolution is desired to visualize volumetric scattered data, because the common problem of volumetric data is that the amount of data is too much. The modeling of such multiscale phenomena is computationally expensive. The mathematical model needs to reflect the different levels of details by approximating the mathematical object on multiple different scales, ranging from a coarse repesentation at a low resolution to a fine representation at a high resolution. The weighted alpha shapes method is defined for a finite set of weighted points. In other words, it is a polytope uniquely determined by the points, their weights, and a parameter α ∈ R that controls the desired level of detail. Therefore, we need to investigate the way to achieve different levels of detail in a single shape by assigning weights to the data points. In this paper, Gaussian curvature can be considered as the weight value of each data point.

Paper Details

Date Published: 13 March 2009
PDF: 8 pages
Proc. SPIE 7261, Medical Imaging 2009: Visualization, Image-Guided Procedures, and Modeling, 72612Y (13 March 2009); doi: 10.1117/12.810957
Show Author Affiliations
Kun Lee, Handong Global Univ. (Korea, Republic of)

Published in SPIE Proceedings Vol. 7261:
Medical Imaging 2009: Visualization, Image-Guided Procedures, and Modeling
Michael I. Miga; Kenneth H. Wong, Editor(s)

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