In this paper we describe a new tool for interactive free-form fair surface design. By
generalizing classical discrete Fourier analysis to two-dimensional discrete surface signals …

As a method of function approximation, polynomial fitting has always been the main
research hotspot in mathematical modeling. In many disciplines such as computer, physics …

Implicit surfaces offer special effects animators, graphic designers, CAD engineers, graphics
students, and hobbyists a new range of capabilities for the modeling of complex geometric …

We present an efficient and uniform approach for the automatic reconstruction of surfaces of
CAD (computer aided design) models and scalar fields defined on them, from an …

Very large polygonal models, which are used in more and more graphics applications today,
are routinely generated by a variety of methods such as surface reconstruction algorithms …

We introduce a completely new approach to fitting implicit polynomial geometric shape
models to data and to studying these polynomials. The power of these models is in their …

Virtual Humans are becoming more and more popular and used in many applications such
as the entertainment industry (in both film and games) and medical applications. This …

We present an approach for the reconstruction and approximation of 3D CAD models from
an unorganized collection of points. Applications include rapid reverse engineering of …

This survey presents several techniques for solving variants of the following scattered data
interpolation problem: given a finite set of N points in R3, find a surface that interpolates the …

The importance of implicit surface representation in modeling geometric objects or
reconstructing the image to scattered data has been described in various papers (see, eg …