منابع مشابه
A second - order fast marching eikonal solver
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...
متن کاملFast-marching eikonal solver in the tetragonal coordinates
Accurate and efficient traveltime calculation is an important topic in seismic imaging. We present a fast-marching eikonal solver in the tetragonal coordinates (3-D) and trigonal coordinates (2-D), tetragonal (trigonal) fast-marching eikonal solver (TFMES), which can significantly reduce the first-order approximation error without greatly increasing the computational complexity. In the trigonal...
متن کاملA fast eikonal equation solver using the Schrödinger wave equation
Abstract. We use a Schrödinger wave equation formalism to solve the eikonal equation. We show that a solution to the eikonal equation is obtained in the limit as ~ → 0 of the solution to the corresponding linear Schrödinger equation. The Schrödinger equation corresponding to the eikonal turns out to be a generalized, screened Poisson equation. Despite being linear, it does not have a closed-for...
متن کاملA variational formulation of the fast marching eikonal solver
I exploit the theoretical link between the eikonal equation and Fermat’s principle to derive a variational interpretation of the recently developed method for fast traveltime computations. This method, known as fast marching, possesses remarkable computational properties. Based originally on the eikonal equation, it can be derived equally well from Fermat’s principle. The new variational formul...
متن کاملImplementing the fast marching eikonal solver: Spherical versus Cartesian coordinates
Spherical coordinates are a natural orthogonal system to describe wavefronts emanating from a point source. While a regular grid distribution in the Cartesian coordinate system tends to undersample the wavefront description near the source (the highest wavefront curvature) and oversample it away from the source, spherical coordinates, in general, provide a more balanced grid distribution to cha...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Geophysical Journal International
سال: 2005
ISSN: 0956-540X,1365-246X
DOI: 10.1111/j.1365-246x.2005.02626.x