C. K. Au1
CMES-Computer Modeling in Engineering & Sciences, Vol.8, No.1, pp. 1-14, 2005, DOI:10.3970/cmes.2005.008.001
Abstract Solving the Eikonal equation is popular due to its potential applications in various areas. Numerical method is the most common approach to solve the equation. This paper presents a geometric approach to solve the equation. Each point in a two dimensional domain with a given velocity field is characterized by the least time from the source. The path of least time is obtained by the Euler equations characterizing the extrema of the variation problem. A geometric representation of the space time function for the source is constructed. The solution to the eikonal equation is obtained based on space time geometry. More >
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