Weighted Shapes for Embedding Perceived Wholes

Hacer Yalim Keles, Mine Özkar and Sibel Tari
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Hacer Yalim Keles: Computer Engineering Department, Middle East Technical University, Universiteler Mah, Dumlupinar Blv. No: 1, Cankaya, Ankara 06800, Turkey
Mine Özkar: Department of Architecture, Faculty of Architecture, Istanbul Technical University, Taskisla, Taksim, Istanbul 34437, Turkey
Sibel Tari: Computer Engineering Department, Middle East Technical University, Universiteler Mah, Dumlupinar Blv. No:1, Cankaya, Ankara 06800, Turkey

Environment and Planning B, 2012, vol. 39, issue 2, 360-375

Abstract: Embedding parts is a key problem in computing when dealing with continuous matter such as shapes rather than discrete matter such as symbols. For computing part relations such as embedding, a technical framework that uses weighted shapes is introduced and implemented. In the proposed framework, for any given two-dimensional shape, the entire canvas is defined as a weighted shape and serves as a registration mark in detecting embedded parts. The approach treats shapes as perceived wholes rather than composed and eliminates the technical distinction between shape categories such as line, curve, or plane. The implementation is shown for two-dimensional shapes but is extendable to three dimensions. As demonstrated on a Seljuk geometric pattern, the framework allows for embedding multiple and various perceived wholes, thus exploring emerging shapes and shape relations to be used for analysis and synthesis in design.

Keywords: shape grammar; weights; edge strength function; implicit representation; embedding relation (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:sae:envirb:v:39:y:2012:i:2:p:360-375

DOI: 10.1068/b37067

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