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Next: Laplace's Equation Up: Shragge: Orthogonal meshing Previous: Introduction

Theory

This section discusses some important characteristics of PF solutions of Laplace's equation Kellogg (1953), and outlines how these properties can be exploited to generate orthogonal coordinate systems. Using the scenario of 2D wave-equation migration from topography, I present appropriate boundary conditions, detail a method for obtaining potential function solutions, and outline a ray-tracing approach. These three components collectively define and algorithm for computing a geometric coordinate system.