A special kind of shape algebra is defined for concurrent computations with shapes and their boundaries, together with related shape grammars. Some new types of shape grammar are defined and classified.
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References
1.
BrownK NMcMahonC ASims WilliamsJ H, 1995, “Features, a.k.a. the semantics of a formal language of manufacturing”Research in Engineering Design7151–172
2.
CarlsonCWoodburyRMcKelveyR, 1991, “An introduction to structure and structure grammars”Environment and Planning B: Planning and Design18417–426
3.
EarlC F, 1997, “Shape boundaries”Environment and Planning B: Planning and Design24669–687
4.
GipsJStinyG, 1980, “Production systems and grammars: A Uniform characterization”Environment and Planning B7399–408
5.
KnightT, 1994Transformations in Design: A Formal Approach to Stylistic Change and Innovation in the Visual Arts (Cambridge University Press, Cambridge)
6.
KnightT, 1999, “Shape grammars: Six types”Environment and Planning B: Planning and Design2615–31
7.
KrsticD, 1996Decompositions of Shapes PhD thesis, Department of Architecture, University of California, Los Angeles
8.
KrsticD, 1999, “Constructing algebras of design”Environment and Planning B: Planning and Design2645–57
9.
LeeYRequichaA, 1982, “Algorithms for computing the volume and other integral properties of solids I”Communications of the ACM25635–641
10.
StinyG, 1982, “Spatial relations and grammars”Environment and Planning B9113–114
11.
StinyG, 1991, “The algebras of design”Research in Engineering Design2171–181
12.
StinyG, 1992, “Weights”Environment and Planning B: Planning and Design19413–430
13.
StinyG, 1993, “Boolean algebras for shapes and individuals”Environment and Planning B: Planning and Design20359–362
14.
StinyGGipsJ, 1972, “Shape grammars and the generative specification of painting and sculpture”Information Processing711460–1465
15.
TimmerHSternJ, 1980, “Computation of global geometric properties of solid objects”Computer Aided Design10301–304
