Nested local symmetry set

Date

2000-08-01

Author

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

226
views

0
downloads

A local-symmetry-based representation for shapes in arbitrary dimensions and a method for its computation are presented. The method depends on analyzing the Hessian of a specific boundaryness function, v, which is computed as the minimizer of an energy functional. The method is basically a generalized ridge finding scheme in which the ridges are defined in terms of the orbit of the gradient vector del v under the action of the Hessian of v. Once the ridges are determined, the local extrema of the magnitude of the gradient of v along the level hypersurfaces of v are used for the classification of the ridges. For the two-dimensional case, the representation reduces to the representation presented by Tari, Shah, and Pien (1997, Comput. Vision Image Understanding 66, 133-146). (C) 2000 Academic Press.

Subject Keywords

Signal Processing, Software, Computer Vision and Pattern Recognition

URI

https://hdl.handle.net/11511/56638

Journal

COMPUTER VISION AND IMAGE UNDERSTANDING

DOI

https://doi.org/10.1006/cviu.2000.0856

Collections

Department of Computer Engineering, Article

Suggestions

OpenMETU
Core

Continuous dimensionality characterization of image structures Felsberg, Michael; Kalkan, Sinan; Kruger, Norbert (Elsevier BV, 2009-05-04) Intrinsic dimensionality is a concept introduced by statistics and later used in image processing to measure the dimensionality of a data set. In this paper, we introduce a continuous representation of the intrinsic dimension of an image patch in terms of its local spectrum or, equivalently, its gradient field. By making use of a cone structure and barycentric co-ordinates, we can associate three confidences to the three different ideal cases of intrinsic dimensions corresponding to homogeneous image patche...
Low-level multiscale image segmentation and a benchmark for its evaluation Akbaş, Emre (Elsevier BV, 2020-10-01) In this paper, we present a segmentation algorithm to detect low-level structure present in images. The algorithm is designed to partition a given image into regions, corresponding to image structures, regardless of their shapes, sizes, and levels of interior homogeneity. We model a region as a connected set of pixels that is surrounded by ramp edge discontinuities where the magnitude of these discontinuities is large compared to the variation inside the region. Each region is associated with a scale that d...
Information permeability for stereo matching Cigla, Cevahir; Alatan, Abdullah Aydın (Elsevier BV, 2013-10-01) A novel local stereo matching algorithm is introduced to address the fundamental challenge of stereo algorithms, accuracy and computational complexity dilemma. The time consuming intensity dependent aggregation procedure of local methods is improved in terms of both speed and precision. Providing connected 2D support regions, the proposed approach exploits a new paradigm, namely separable successive weighted summation (SWS) among horizontal and vertical directions enabling constant operational complexity. T...
Using multi-modal 3D contours and their relations for vision and robotics BAŞESKİ, Emre; Pugeault, Nicolas; Kalkan, Sinan; BODENHAGEN, Leon; Piater, Justus H.; KRÜGER, Norbert (Elsevier BV, 2010-11-01) In this work, we make use of 3D contours and relations between them (namely, coplanarity, cocolority, distance and angle) for four different applications in the area of computer vision and vision-based robotics. Our multi-modal contour representation covers both geometric and appearance information. We show the potential of reasoning with global entities in the context of visual scene analysis for driver assistance, depth prediction, robotic grasping and grasp learning. We argue that, such 3D global reasoni...
Relative consistency of projective reconstructions obtained from the same image pair Otlu, Burcak; Atalay, Mustafa Ümit; Hassanpour, Reza (World Scientific Pub Co Pte Lt, 2006-08-01) This study obtains projective reconstructions of an object or a scene from its image pair and measures relative consistency of these projective reconstructions. 3D points are estimated from an image pair using projective and epipolar geometry. Two measures are presented for verification of projective reconstructions with each other. These measures are based on the equality of ratios between the x-, y- and z-coordinates of 3D reconstructed points which are obtained from the same corresponding points. This in...

Citation Formats

Z. S. Tarı, “Nested local symmetry set,” COMPUTER VISION AND IMAGE UNDERSTANDING, pp. 267–280, 2000, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/56638.