An improved Marching Cube algorithm for 3D data segmentation

Abstract
The marching cube algorithm is one of the most popular algorithms for isosurface triangulation. It is based on a division of the data volume into elementary cubes, followed by a standard triangulation inside each cube. In the original formulation, the marching cube algorithm is based on 15 basic triangulations and a total of 256 elementary triangulations are obtained from the basic ones by rotation, reflection, conjugation, and combinations of these operations.
The original formulation of th...

Title of program: TRIANGOLATE
Catalogue Id: AENS_v1_0

Nature of problem
Given a scalar field Μ(x,y,z) sampled on a 3D regular grid, build a discrete model of the isosurface associated to the isovalue Μ Iso , which is defined as the set of points that satisfy the equation Μ(x,y,z) = Μ Iso .

Versions of this program held in the CPC repository in Mendeley Data
AENS_v1_0; TRIANGOLATE; 10.1016/j.cpc.2012.09.030

This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)