Weighted neighborhood sequences in non-standard three-dimensional grids - Parameter optimization

Abstract

Recently, a distance function was defined on the face-centered cubic and body-centered cubic grids by combining weights and neighborhood sequences. These distances share many properties with traditional path-based distance functions, such as the city-block distance, but are less rotational dependent. We introduce four different error functions which are used to find the optimal weights and neighborhood sequences that can be used to define the distance functions with low rotational dependency. © 2008 Springer-Verlag Berlin Heidelberg.