A new isosurface extraction method on arbitrary grids

The development of interface-capturing methods (such as level-set, phase-field or volume fluid (VOF) methods) for arbitrary 3D grids has further highlighted the need more accurate and efficient interface reconstruction procedures. In this work, we propose a new method extraction isosurfaces on polyhedra that can be used with advantage purpose. isosurface is extracted from fractions by general polygon tracing procedure, which valid convex non-convex geometries, even non-planar faces. proposed method, considered an extension marching cubes technique, produces consistent results ambiguous situations in shape. To show reproducibility presented provide open source library isoap, been developed to implement includes test programs demonstrate successful several polyhedral cells different types. We present obtained not only discrete resulting but also data sets implicit mathematical functions signed distances scanned surfaces. improvement provided will very useful other fields, such CFD visualization medical imaging.