Abstract Concepts of functionally based geometric modeling including sets of objects,
operations, and relations are discussed. Transformations of a defining real function are …

This paper presents a novel approach to the reconstruction of geometric models and
surfaces from given sets of points using volume splines. It results in the representation of a …

This paper deals with modeling point sets with attributes. A point set in a geometric space of
an arbitrary dimension is a geometric model of a real/abstract object or process under …

This paper presents a project devoted to develo** an open system architecture for
functionally based (implicit or more generally F-rep) shape modeling and its applications …

Swee** is one of the constructive techniques of solid modeling that creates new rigid
solids which are not simple Boolean constructions and combinations of solid components …

In this survey, we describe the following different aspects of modeling multidimensional point
sets (shapes) using real-valued functions of several variables: algebraic system as a formal …

In this paper, we define complex solids by real functions. Just from relatively small formulae
we produce highly detailed complex objects and are able to manipulate and transform them …

This paper presents an automated technique for constructing 3-D implicit solids from
moderately to very dense cross-sectional (layered) data sets. A collection of 2-D cross …

Les plus lointaines traces concernant la géométrie antique qui nous sont parvenues datent
des Grecs et nous pouvons citer en particulier Euclide1 et son ouvrage Les Eléments, où …

The concept of solid texturing is extended in two directions: constructive modeling of space
partitions for texturing and modeling of multidimensional textured objects called …