Communications in Mathematical Sciences

Volume 3 (2005)

Number 3

Visibility Optimization Using Variational Approaches

Pages: 425 – 451

DOI: http://dx.doi.org/10.4310/CMS.2005.v3.n3.a8

Authors

Li-Tien Cheng

Yen-Hsi Tsai

Abstract

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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