Weighted shapes for embedding perceived wholes

Keles, Hacer Yalim
Özkar Kabakçıoğlu, Mine
Tarı, Zehra Sibel
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.


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Sahillioğlu, Yusuf; Yemez, Y. (2013-02-01)
We address the symmetric flip problem that is inherent to multi-resolution isometric shape matching algorithms. To this effect, we extend our previous work which handles the dense isometric correspondence problem in the original 3D Euclidean space via coarse-to-fine combinatorial matching. The key idea is based on keeping track of all optimal solutions, which may be more than one due to symmetry especially at coarse levels, throughout denser levels of the shape matching process. We compare the resulting den...
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Embedding Shapes without Predefined Parts
Keles, Hacer Yalim; Özkar, Mine; Tarı, Zehra Sibel (SAGE Publications, 2010-8)
For a practical computer implementation of part embedding in shapes that is also true to their continuous character and the shape grammar formalism, shapes and their boundaries are handled together in composite shape and label algebras. Temporary representations of shapes, termed 'overcomplete graphs', comprise boundary elements of shapes and how they are assembled, and are utilized in a two-phase algorithm that systematically searches for embedded parts. The associated implementation is developed to receiv...
Coarse-to-Fine Combinatorial Matching for Dense Isometric Shape Correspondence
Sahillioğlu, Yusuf; Yemez, Y. (2011-08-01)
We present a dense correspondence method for isometric shapes, which is accurate yet computationally efficient. We minimize the isometric distortion directly in the 3D Euclidean space, i.e., in the domain where isometry is originally defined, by using a coarse-to-fine sampling and combinatorial matching algorithm. Our method does not require any initialization and aims to find an accurate solution in the minimum-distortion sense for perfectly isometric shapes. We demonstrate the performance of our method on...
Citation Formats
H. Y. Keles, M. Özkar Kabakçıoğlu, and Z. S. Tarı, “Weighted shapes for embedding perceived wholes,” ENVIRONMENT AND PLANNING B-PLANNING & DESIGN, pp. 360–375, 2012, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/32700.