Partial Shape Matching Using Transformation Parameter Similarity

In this paper, we present a method for non‐rigid, partial shape matching in vector graphics. Given a user‐specified query region in a 2D shape, similar regions are found, even if they are non‐linearly distorted. Furthermore, a non‐linear mapping is established between the query regions and these mat...

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Bibliographic Details
Published in:Computer graphics forum Vol. 34; no. 1; pp. 239 - 252
Main Authors: Guerrero, Paul, Auzinger, Thomas, Wimmer, Michael, Jeschke, Stefan
Format: Journal Article
Language:English
Published: Oxford Blackwell Publishing Ltd 01.02.2015
Subjects:
2D shape matching
Analysis
computational geometry
Computer graphics
Distortion
I.3.5 [Computer Graphics]: Computational Geometry and Object Modelling-Hierarchy and geometric transforms
I.4.8 [Computer Graphics]: Scene Analysis-Shape
Matching
Mathematical analysis
Nonlinearity
Queries
Query processing
Studies
Texturing
Topological manifolds
Transformations
Vectors (mathematics)
ISSN:0167-7055, 1467-8659
Online Access:Get full text
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Summary:In this paper, we present a method for non‐rigid, partial shape matching in vector graphics. Given a user‐specified query region in a 2D shape, similar regions are found, even if they are non‐linearly distorted. Furthermore, a non‐linear mapping is established between the query regions and these matches, which allows the automatic transfer of editing operations such as texturing. This is achieved by a two‐step approach. First, pointwise correspondences between the query region and the whole shape are established. The transformation parameters of these correspondences are registered in an appropriate transformation space. For transformations between similar regions, these parameters form surfaces in transformation space, which are extracted in the second step of our method. The extracted regions may be related to the query region by a non‐rigid transform, enabling non‐rigid shape matching. In this paper, we present a method for non‐rigid, partial shape matching in vector graphics. Given a user‐specified query region in a 2D shape, similar regions are found, even if they are non‐linearly distorted. Furthermore, a non‐linear mapping is established between the query regions and these matches, which allows the automatic transfer of editing operations such as texturing. This is achieved by a two‐step approach. First, pointwise correspondences between the query region and the whole shape are established. The transformation parameters of these correspondences are registered in an appropriate transformation space. For transformations between similar regions, these parameters form surfaces in transformation space, which are extracted in the second step of our method. The extracted regions may be related to the query region by a non‐rigid transform, enabling non‐rigid shape matching.
Bibliography:istex:3E5359CCBDF5F2D45624302C7A0126C73D11F186
ArticleID:CGF12509
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SourceType-Scholarly Journals-1
ObjectType-Feature-1
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ISSN:0167-7055
1467-8659
DOI:10.1111/cgf.12509