We review the treatment of trimmed geometries in the context of design, data exchange, and
computational simulation. Such models are omnipresent in current engineering modeling …

The intended audience of this book (and the combined two volumes especially) is quite
broad. It can be used in a variety of computer graphics courses or by those who are trying to …

In this paper, the performance of the phase space representation in interpreting the
underlying dynamics of epileptic seizures is investigated and a novel patient-specific seizure …

This paper presents a method within the family of the discrete element method (DEM)
capable of accurately capturing grain shape by using Non-Uniform Rational Basis-Splines …

Direct slicing of CAD models to generate process planning instructions for solid freeform
fabrication may overcome inherent disadvantages of using stereolithography format in terms …

The goal of this book is to teach the art of finding the root of a single algebraic equation or a
pair of such equations. We shall quote theorems and theory as necessary, but this is not …

Point containment queries for regions bound by watertight geometric surfaces, ie, closed
and without self-intersections, can be evaluated straightforwardly with a number of well …

This paper studies the polynomial basis that generates the smallest n-simplex enclosing a
given n th-degree polynomial curve in R n. Although the Bernstein and B-Spline polynomial …

We present fast algorithms to perform accurate CCD queries between triangulated models.
Our formulation uses properties of the Bernstein basis and Bézier curves and reduces the …

Geometric and solid modelling deal with the representation and manipulation of physical
objects. Currently most geometric objects are formulated in terms of polynomial equations …