A uniform characterization of augmented shapes. (May 2019)

• Record Type: Journal Article
• Authors: Stouffs, Rudi; Krishnamurti, Ramesh
• Is Part Of: Computer aided design. Volume 110(2019)
• Page Start: 37
• Page End: 49
• Publication Date: 2019-05
• Subjects: Shape grammars -- Shape–attributes -- Augmented shapes; Computer-aided design -- Periodicals; Engineering design -- Data processing -- Periodicals; Computer graphics -- Periodicals; Conception technique -- Informatique -- Périodiques; Infographie -- Périodiques; Computer graphics; Engineering design -- Data processing; Periodicals; Electronic journals; 620.00420285
• DOI: 10.1016/j.cad.2018.12.004
• Languages: English
• ISSNs: 0010-4485

Abstract

Abstract: Shapes are considered as finite arrangements of spatial elements from among points, line and plane segments, circles and ellipses, (circular) arcs, quadratic Bezier curves, of limited but non-zero measure, in 2D and 3D. Augmented shapes are defined as shapes augmented with attributes, e.g., labels, weights, colors, enumerative values, and (parametric) descriptions. Different attribute types specify different behaviors under operations of sum, product and difference and a part relationship. We review different shape–attribute propositions from the shape grammar literature and characterize them uniformly. This uniform characterization of augmented shapes is intended to assist in formalizing new shape–attribute propositions that may have been visually conceived. Highlights: A uniform characterization of different shape-attribute propositions is presented. A uniform description of the behavior of shapes with attributes is proposed. Characterizations of attribute types and spatial element types are almost uniform.