Год выпуска: 2010 Автор: Yuanli Wang Издательство: LAP Lambert Academic Publishing Страниц: 144 ISBN: 9783838306032
Описание
The main contribution of the proposed method is the presented front propagation methodology which is directly inspired from marching technology. All the points located on the original front are propagated along the local normal directions. The main difference between the current method and traditional marching methods lies in the way that local normal direction is computed. Traditionally, the local normal directions are computed using geometric information, such as the average normal of neighboring points or facets surrounding the point to be propagated. In this method, the local normal directions are calculated using the solution of a variation of the Eikonal equation. The benefit of calculating normal directions in such a way is that self-intersections are avoided in a natural way. Since normal directions are represented using the numerical solution of the PDE, propagation is thus performed in the field of the solution of the equation rather than geometric space. In addition, the...