Open Access
September 2005 Visibility Optimization Using Variational Approaches
Li-Tien Cheng, Yen-Hsi Tsai
Commun. Math. Sci. 3(3): 425-451 (September 2005).


Constructing the visible and invisible regions of an observer due to the presence of obstacles in the environment has played a central role in many applications. It can also be a first step. In this paper, we adopt a visibility algorithm that can produce a variety of general information to handle the optimization of visibility information. Through the use of level set tools, gradient flow, finite differencing, and solvers for ordinary differential equations, we introduce a set of distinct algorithms for several model problems involving the optimization of visibility information.


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Li-Tien Cheng. Yen-Hsi Tsai. "Visibility Optimization Using Variational Approaches." Commun. Math. Sci. 3 (3) 425 - 451, September 2005.


Published: September 2005
First available in Project Euclid: 3 October 2005

zbMATH: 1098.65075
MathSciNet: MR2165011

Rights: Copyright © 2005 International Press of Boston

Vol.3 • No. 3 • September 2005
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