Visibility from a viewpoint is characterized as the subzero level set of the viscosity solution of the local obstacle problem min{u-g, (x-x*)·∇u}=0.
Crandall, Hitoshi Ishii, and Pierre-Louis Lions, User's guide to viscosity solutions of second order partial differential equations, Bull
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A Partial Differential Equation Obstacle Problem for the Level Set Approach to Visibility
Visibility from a viewpoint is characterized as the subzero level set of the viscosity solution of the local obstacle problem min{u-g, (x-x*)·∇u}=0.