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Weighted Shapes for Embedding Perceived Wholes

Author

Listed:
  • 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)

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.

Suggested Citation

  • Hacer Yalim Keles & Mine Özkar & Sibel Tari, 2012. "Weighted Shapes for Embedding Perceived Wholes," Environment and Planning B, , vol. 39(2), pages 360-375, April.
    • Handle: RePEc:sae:envirb:v:39:y:2012:i:2:p:360-375
    DOI: 10.1068/b37067
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    References listed on IDEAS

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    1. Mine Özkar & Nyssim Lefford, 2006. "Modal relationships as stylistic features: Examples from Seljuk and Celtic patterns," Journal of the American Society for Information Science and Technology, Association for Information Science & Technology, vol. 57(11), pages 1551-1560, September.
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