NDLI: Geometric programming: a programming approach to geometric design

Content Provider	ACM Digital Library
Author	Pascucci, Valerio Paoluzzi, Alberto Vicentino, Michele
Copyright Year	1995
Abstract	This article presents a functional programming approach to geometric design with embedded polyhedral complexes. Its main goals are to show the expressive power of the language as well as its usefulness for geometric design. The language, named PLASM (the Programming LAnguage for Solid Modeling), introduces a very high level approach to “constructive” or “generative” modeling. Geometrical objects are generated by evaluating some suitable language expressions. Because generating expressions can be easily combined, the language also extends the standard variational geometry approach by supporting classes of geometric objects with varying topology and shape. The design language PLASM can be roughly considered as a geometry-oriented extension of a subset of the functional language FL. The language takes a dimension-independent approach to geometry representation and algorithms. In particular it implements an algebraic calculus over embedded polyhedra of any dimension. The generated objects are always geometrically consistent because the validity of geometry is guaranteed at a syntactical level. Such an approach allows one to use a representation scheme which is weaker than those usually adopted in solid modelers, thus encompassing a broader geometric domain, which contains solids, surfaces, and wire-frames, as well as higher-dimensional objects.
Starting Page	266
Ending Page	306
Page Count	41
File Format	PDF
ISSN	07300301
e-ISSN	15577368
DOI	10.1145/212332.212349
Volume Number	14
Issue Number	3
Journal	ACM Transactions on Graphics (TOG)
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	1995-07-01
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Design language Functional programming Generative modeling Geometric design Polyhedra Solid modeling Variational geometry
Content Type	Text
Resource Type	Article
Subject	Computer Graphics and Computer-Aided Design

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