# Function-based shape modeling: Mathematical framework and specialized language

This source preferred by Valery Adzhiev and Alexander Pasko

**Authors: **Pasko, A. and Adzhiev, V.

**Editors: **Winkler, F.

https://link.springer.com/chapter/10.1007/978-3-540-24616-9_9

**Volume:** 2930/2004

**Pages:** 132-160

**Publisher:** Springer

**Place of Publication:** Berlin

**ISBN:** 9783540209270

**DOI:** 10.1007/b95516

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).

This data was imported from DBLP:

**Authors: **Pasko, A.A. and Adzhiev, V.

**Editors: **Winkler, F.

https://doi.org/10.1007/b95516

**Volume:** 2930

**Pages:** 132-160

**Publisher:** Springer

This data was imported from Scopus:

**Authors: **Pasko, A. and Adzhiev, V.

**Volume:** 2930

**Pages:** 132-160

**ISBN:** 9783540209270

© Springer-Verlag Berlin Heidelberg 2004. 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).

This data was imported from Web of Science (Lite):

**Authors: **Pasko, A. and Adzhiev, V.

**Volume:** 2930

**Pages:** 132-160