Weighted shapes for embedding perceived wholes

Date

2012-01-01

Author

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

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

165
views

0
downloads

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.

Subject Keywords

Shape grammar, Weights, Edge strength function, Implicit representation, Embedding relation

URI

https://hdl.handle.net/11511/32700

Journal

ENVIRONMENT AND PLANNING B-PLANNING & DESIGN

DOI

https://doi.org/10.1068/b37067

Collections

Department of Computer Engineering, Article

Suggestions

OpenMETU
Core

Coarse-to-Fine Isometric Shape Correspondence by Tracking Symmetric Flips 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...
Fixed-frequency slice computation of discrete Cohen's bilinear class of time-frequency representations Ozgen, MT (2000-02-01) This communication derives DFT-sample-based discrete formulas directly in the spectral-correlation domain for computing fixed-frequency slices of discrete Cohen's class members with reduced computational cost, both for one-dimensional and multidimensional (specifically two-dimensional (2-D)) finite-extent sequence cases. Frequency domain integral expressions that define discrete representations are discretized to obtain these discrete implementation formulas. 2-D ambiguity function domain kernels are chosen...
Coloring 3D symmetry set: perceptual meaning and significance in 3D Tarı, Zehra Sibel (1999-12-01) A computational implementation for assigning perceptual meaning and significance to the points in the symmetry is presented. The coloring scheme allows recovery of the features of interest such as the shape skeletons from the complicated symmetry representation. The method is applicable to arbitrary data including color and multi-modality images. On the computational side, for a 256 × 256 binary image, two minutes on a low-end Pentium machine is enough to compute both the distance function and the colored n...
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...
Detail-Preserving Mesh Unfolding for Nonrigid Shape Retrieval Sahillioğlu, Yusuf (2016-06-01) We present a shape deformation algorithm that unfolds any given 3D shape into a canonical pose that is invariant to nonrigid transformations. Unlike classical approaches, such as least-squares multidimensional scaling, we preserve the geometric details of the input shape in the resulting shape, which in turn leads to a content-based nonrigid shape retrieval application with higher accuracy. Our optimization framework, fed with a triangular or a tetrahedral mesh in 3D, tries to move each vertex as far away f...

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.