TY  - EJOU
AU  - Au, C. K. 

TI  - A Geometrical Approach for Solving 2D Eikonal Equation
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2005
VL  - 8
IS  - 1
SN  - 1526-1506

AB  - 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.
KW  - path of least time
KW  -  eikonal equation
KW  -  front propagation

DO  - 10.3970/cmes.2005.008.001