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Design Modeling With Shape Algebras and Formal Logic

Published

Author(s)

Scott Chase

Abstract

A new method of describing designs by combining the paradigms of shape algebras and predicate logic representations is presented. Representing shapes and spatial relations in logic provides a natural, intuitive method of developing complete computer systems for reasoning about designs. The advantages of shape algebra formalisms over more traditional representations of geometric objects are discussed. The method employed involves the definition of a large set of high level design relations from a small set of simple structures and spatial relations. Examples in architecture and geographic information systems are illustrated.
Proceedings Title
Proceedings of ACADIA (Association for Computer-Aided Design in Architecture) '96 Conference
Conference Location
Tucson, AZ

Keywords

architecture, computer aided design, feature emergence, feature modeling, feature recognition, formal logic, geographic information systems (GIS), shape grammars

Citation

Chase, S. (1996), Design Modeling With Shape Algebras and Formal Logic, Proceedings of ACADIA (Association for Computer-Aided Design in Architecture) '96 Conference, Tucson, AZ, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=821068 (Accessed November 28, 2021)
Created September 1, 1996, Updated February 17, 2017