@Article{cmes.2005.008.001,
AUTHOR = {C. K. Au},
TITLE = {A Geometrical Approach for Solving 2D Eikonal Equation},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {8},
YEAR = {2005},
NUMBER = {1},
PAGES = {1--14},
URL = {http://www.techscience.com/CMES/v8n1/29738},
ISSN = {1526-1506},
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.},
DOI = {10.3970/cmes.2005.008.001}
}