Generalized Stochastic Sampling Method for Visualization and Investigation of Implicit Surfaces
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Date
2001
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Publisher
Blackwell Publishers Ltd and the Eurographics Association
Abstract
Recently we proposed the stochastic sampling method (SSM), which can numerically generate sample points on complicated implicit surfaces quickly and uniformly. In this paper we generalize the method in two aspects: (1) We introduce two kinds of boundary conditions, so that we can sample a finite part of an open surface spreading infinitely. (2) We generalize the stochastic differential equation used in the SSM, so that its solutions can satisfy plural constraint conditions simultaneously. The first generalization enables us to visualize cut views of open surfaces. The second generalization enables us to visualize intersections of static and moving implicit surfaces, which leads to detailed investigation of intersections and other interesting applications such as visualization of contour maps.
Description
@article{10.1111:1467-8659.00528,
journal = {Computer Graphics Forum},
title = {{Generalized Stochastic Sampling Method for Visualization and Investigation of Implicit Surfaces}},
author = {Tanaka, Satoshi and Shibata, Akihiro and Yamamoto, Hiroaki and Kotsuru, Hisakiyo},
year = {2001},
publisher = {Blackwell Publishers Ltd and the Eurographics Association},
ISSN = {1467-8659},
DOI = {10.1111/1467-8659.00528}
}