Unfortunately, first-order implementations lead to inaccuracies in computed traveltimes, which may lead to poor image focusing for migration applications. In addition, first-order traveltimes are not accurate enough for reliable amplitude calculations. This has lead to the development of the fast marching method on non-Cartesian (Alkhalifah and Fomel, 1997; Sun and Fomel, 1998), and even unstru...

Unfortunately, first-order implementations lead to inaccuracies in computed traveltimes, which may lead to poor image focusing for migration applications. In addition, first-order traveltimes are not accurate enough for reliable amplitude calculations. This has lead to the development of the fast marching method on non-Cartesian (Alkhalifah and Fomel, 1997; Sun and Fomel, 1998), and even unstru...

We present a conservation element solution element method in time and momentum space. Several paradigmatic wave problems including simple wave equation, convection-diffusion equation, driven harmonic oscillating charge and nonlinear Korteweg-de Vries (KdV) equation are solved with this method and calibrated with known solutions to demonstrate its use. With this method, time marching scheme is e...

We present a method for extracting iso-surfaces and their intersections in 4D. Our work is a signiicant extension of the 3D Marching Lines algorithm with new orientation and implementation considerations. As a practical tool, it can be applied to track eeciently space curves, de-ned by diierential invariants, across increasing scale.

Article history: Received 14 February 2014 Received in revised form 4 June 2014 Accepted 12 June 2014 Available online 19 June 2014

Fast Marching represents a very efficient technique for solving front propagation problems, which can be formulated as partial differential equations with Dirichlet boundary conditions, called Eikonal equation:

The evolution of a wavefront propagating in a two dimensional inhomogeneous isotropic medium with sound speed F = F (x, y) is governed by the Eikonal equation (EE) |∇T | = 1

Pozna´n 2004