TY - CHAP
T1 - Sortal grammars for urban design
T2 - A sortal approach to urban data modeling and generation
AU - Stouffs, Rudi
AU - Beirão, José N.
AU - Duarte, José P.
PY - 2012
Y1 - 2012
N2 - Grammar formalisms for design come in a large variety, requiring different representations of the objects being generated, and different interpretative mechanisms for this generation. At the same time, all grammars share certain definitions and characteristics. Building on these commonalities, we consider a component-based approach for building grammar systems, utilizing a uniform characterization of grammars. Sortal representations constitute the components for this approach. They implement a model for representations, termed sorts, that defines formal operations on sorts and recognizes formal relationships between sorts. Each sort defines an algebra over its elements; formal compositions of sorts derive their algebraic properties from their component sorts. This algebraic framework makes sortal representations particularly suited for defining grammar formalisms considering a variety of algebra, and match relations (or interpretative mechanisms). For urban design and simulation, sortal grammars may include, among others, descriptive grammars, shape grammars, GIS-based grammars and any combination thereof.
AB - Grammar formalisms for design come in a large variety, requiring different representations of the objects being generated, and different interpretative mechanisms for this generation. At the same time, all grammars share certain definitions and characteristics. Building on these commonalities, we consider a component-based approach for building grammar systems, utilizing a uniform characterization of grammars. Sortal representations constitute the components for this approach. They implement a model for representations, termed sorts, that defines formal operations on sorts and recognizes formal relationships between sorts. Each sort defines an algebra over its elements; formal compositions of sorts derive their algebraic properties from their component sorts. This algebraic framework makes sortal representations particularly suited for defining grammar formalisms considering a variety of algebra, and match relations (or interpretative mechanisms). For urban design and simulation, sortal grammars may include, among others, descriptive grammars, shape grammars, GIS-based grammars and any combination thereof.
UR - http://www.scopus.com/inward/record.url?scp=84905700776&partnerID=8YFLogxK
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U2 - 10.1007/978-3-642-29758-8_6
DO - 10.1007/978-3-642-29758-8_6
M3 - Chapter
AN - SCOPUS:84905700776
SN - 9783642297571
T3 - Communications in Computer and Information Science
SP - 99
EP - 116
BT - Digital Urban Modeling and Simulation
PB - Springer Verlag
ER -