Triangle meshes are used in many important shape-related applications including geometric
modeling, animation production, system simulation, and visualization. However, these …

Implicit surfaces (IS) are commonly used in image creation, modeling environments,
modeling objects, and scientific data visualization. In this article, we present a survey of …

This revised and updated second edition–now with two new chapters-is the only book to
give a comprehensive overview of computer algorithms for image reconstruction. It covers …

Introduction The process of fabricating physical medical skull models requires many steps,
each of which is a potential source of geometric error. The aim of this study was to …

The Hermite radial basis functions (HRBF) implicits reconstruct an implicit function which
interpolates or approximates scattered multivariate Hermite data (ie unstructured points and …

Medical imaging (image acquisition, image transformation, and image visualization) is a
standard tool for clinicians in order to make diagnoses, plan surgeries, or educate students …

This work represents the first book to focus on basic algorithms for isosurface construction. It
also gives a rigorous mathematical perspective on some of the algorithms and results. In …

The development of interface-capturing methods (such as level-set, phase-field or volume of
fluid (VOF) methods) for arbitrary 3D grids has further highlighted the need for more accurate …

Abstract The Marching Cubes algorithm is arguably the most popular isosurface extraction
algorithm. Since its inception, two problems have lingered, namely, triangle quality and …

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 …