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Signature of Geometric Centroids for 3D Local Shape Description and Partial Shape Matching [PDF]
Lecture Notes in Computer Science, 2017 Depth scans acquired from different views may contain nuisances such as noise, occlusion, and varying point density. We propose a novel Signature of Geometric Centroids descriptor, supporting direct shape matching on the scans, without requiring any preprocessing such as scan denoising or converting into a mesh.
Xiaoping Chen, Keke Tang, Peng Song
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CAD Computer Aided Design, 2022
Abstract Practically all existing shape analysis and processing algorithms have been developed for specific geometric representations of 3D models. However, the product development process always involves a large number of often incompatible geometric representations tailored to specific computational tasks that take place during this process ...
Jiangce Chen, Caiwen Ding
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Abstract Practically all existing shape analysis and processing algorithms have been developed for specific geometric representations of 3D models. However, the product development process always involves a large number of often incompatible geometric representations tailored to specific computational tasks that take place during this process ...
Jiangce Chen, Caiwen Ding
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Salient geometric features for partial shape matching and similarity
ACM Transactions on Graphics, 2006This article introduces a method for partial matching of surfaces represented by triangular meshes. Our method matches surface regions that are numerically and topologically dissimilar, but approximately similar regions. We introduce novel local surface descriptors which efficiently represent the geometry of local regions of the surface.
Ran Gal, Daniel Cohen-Or
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Elastic geometric shape matching for translations under the Manhattan norm
Computational Geometry: Theory and Applications, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Christian Knauer, Fabian Stehn
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Interactive partial 3D shape matching with geometric distance optimization
Visual Computer, 2014In this paper, we propose an efficient method for partial 3D shape matching based on minimizing the geometric distance between the source and the target geometry. Unlike existing methods, our method does not use a feature-based distance in order to obtain a matching score.
GÜNTHER Greiner, Greiner GÜNTHER
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A Geometrical Approach to Polygonal Dissimilarity and Shape Matching
IEEE Transactions on Pattern Analysis and Machine Intelligence, 1982Two geometrical measures have been proposed to quantify the dissimilarity between two irregular polygons. These measures capture the intuitive notion of the dissimilarity between shapes and are related to the minimum value of the intersecting area of the polygons on superposing one on the other in various configurations.
Rangasami L. Kashyap, B. John Oommen
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Partial-to-Partial Shape Matching with Geometric Consistency
2024 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR)Finding correspondences between 3D shapes is an important and long-standing problem in computer vision, graphics and beyond. A prominent challenge are partial-to-partial shape matching settings, which occur when the shapes to match are only observed incompletely (e.g. from 3D scanning).
Daniel Cremers
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Salient spectral geometric features for shape matching and retrieval
The Visual Computer, 2009This paper introduces a new method for extracting salient features from surfaces that are represented by triangle meshes. Our method extracts salient geometric feature points in the Laplace–Beltrami spectral domain instead of usual spatial domains.
Jiaxi Hu, Jing Hua 0001
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Joint geometric graph embedding for partial shape matching in images
2016 IEEE Winter Conference on Applications of Computer Vision (WACV), 2016A novel multi-criteria optimization framework for matching of partially visible shapes in multiple images using joint geometric graph embedding is proposed. The proposed framework achieves matching of partial shapes in images that exhibit extreme variations in scale, orientation, viewpoint and illumination and also instances of occlusion; conditions ...
Suchendra M Bhandarkar
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