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Elastic Geometric Shape Matching
2021In computational geometry, geometric shape matching (GSM) problems are among the classical and well-studied geometric optimization problems. In a conventional GSM problem, the pattern P and the model Q, both from a class S of geometric shapes, are given, along with a suitable distance measure d.
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The Generalized Shape Distributions for Shape Matching and Analysis
IEEE International Conference on Shape Modeling and Applications 2006 (SMI'06), 2006This paper presents a novel 3D shape descriptor "The Generalized Shape Distributions" for effective shape matching and analysis, by taking advantage of both local and global shape signatures. We start this process by generating spin images on meshes. These local shape descriptors are then quantized via k-means clustering.
Yi Liu, Hongbin Zha, Hong Qin 0001
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Chord distributions for shape matching
Computer Graphics and Image Processing, 1982Abstract A shape matching method based on concepts tied to integral geometry is studied. The method consists of computing the distribution of random chords over the figures to be matched and comparing them by means of the Kolmogorov-Smirnov test. A simplified form of the procedure for matching figures to a circle yields a test for circularity.
Stephen P. Smith, Anil K. Jain 0001
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Two-dimensional shape matching by shape distributions
2010 Sixth International Conference on Natural Computation, 2010Two-dimensional shape matching is a fundamental problem in pattern recognition and computer vision. A challenging aspect of this problem is to find a distinctive shape descriptor which is able to handle common geometric transformations, occlusions and deformations.
Hai-Shan Wu, Xiang Liu
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Matching for Shape Defect Detection
1999The problem of defect detection in 2D and 3D shapes is analyzed. A shape is represented by a set of its contour, or surface, points. Mathematically, the problem is formulated as a specific matching of two sets of points, a reference one and a measured one. Modified Hausdorff distance between these two point sets is used to induce the matching. Based on
Dmitry Chetverikov, Yuri Khenokh
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Shape Matching by Segmentation Averaging
2008We use segmentations to match images by shape. To address the unreliability of segmentations, we give a closed form approximation to an average over all segmentations. Our technique has many extensions, yielding new algorithms for tracking, object detection, segmentation, and edge-preserving smoothing.
Hongzhi Wang 0002, John Oliensis
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Matching Shapes with Self-intersections
2000We address the problem of 2D shape representation and matching in presence of self-intersection for large image databases. This may occur when part of an object is hidden behind another part and results in a darker section in the gray level image of the object.
Sadegh Abbasi, Farzin Mokhtarian
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Histogram as a measure of shape matching
SPIE Proceedings, 2004This paper describes a new shape matching using image projection features. The corners are located in the binary image using the radius vector function. The imaginary line joining any two corners is called the baseline, if the distance between those two corners is the maximum.
Min Hyuk Chang +3 more
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Proceedings of the 1st international conference on Computer graphics and interactive techniques in Austalasia and South East Asia - GRAPHITE '03, 2003
The research of 3D shape matching starts to get more attention recently. In this short paper, we present a 3D shape matching framework. First, we give a general definition of similarity value of two objects. Then, an algorithm is proposed consisting of Principal Component Analysis (PCA), voxelization, and iterative coarse-to-fine aligning of two ...
Ee-Chien Chang +3 more
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The research of 3D shape matching starts to get more attention recently. In this short paper, we present a 3D shape matching framework. First, we give a general definition of similarity value of two objects. Then, an algorithm is proposed consisting of Principal Component Analysis (PCA), voxelization, and iterative coarse-to-fine aligning of two ...
Ee-Chien Chang +3 more
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