Function-based shape modeling: Mathematical framework and specialized language

Authors: Pasko, A. and Adzhiev, V.

Volume: 2930

Pages: 132-160

DOI: 10.1007/978-3-540-24616-9_9

Abstract:

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 framework; representation of shapes, operations, and relations using real-valued functions, internal representation of the modeling system; specialized language for function-based modeling, and model extension to point sets with attributes (hypervolumes).

Source: Scopus