Deformation similarity measurement in quasi-conformal shape space
[Display omitted] •A novel framework for analysis and characterization of shape deformation.•A novel quasi-conformal metric to classify the deformations in shape space.•Classification of the left ventricle deformation in myopathic patients. This paper presents a novel approach based on the shape spa...
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| Veröffentlicht in: | Graphical models 2014-03, Vol.76 (2), p.57-69 |
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| creator | Taimouri, Vahid Hua, Jing |
| description | [Display omitted]
•A novel framework for analysis and characterization of shape deformation.•A novel quasi-conformal metric to classify the deformations in shape space.•Classification of the left ventricle deformation in myopathic patients.
This paper presents a novel approach based on the shape space concept to classify deformations of 3D models. A new quasi-conformal metric is introduced which measures the curvature changes at each vertex of each pose during the deformation. The shapes with similar deformation patterns follow a similar deformation curve in shape space. Energy functional of the deformation curve is minimized to calculate the geodesic curve connecting two shapes on the shape space manifold. The geodesic distance illustrates the similarity between two shapes, which is used to compute the similarity between the deformations. We applied our method to classify the left ventricle deformations of myopathic and control subjects, and the sensitivity and specificity of our method were 88.8% and 85.7%, which are higher than other methods based on the left ventricle cavity, which shows our method can quantify the similarity and disparity of the left ventricle motion well. |
| doi_str_mv | 10.1016/j.gmod.2013.12.001 |
| format | Article |
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•A novel framework for analysis and characterization of shape deformation.•A novel quasi-conformal metric to classify the deformations in shape space.•Classification of the left ventricle deformation in myopathic patients.
This paper presents a novel approach based on the shape space concept to classify deformations of 3D models. A new quasi-conformal metric is introduced which measures the curvature changes at each vertex of each pose during the deformation. The shapes with similar deformation patterns follow a similar deformation curve in shape space. Energy functional of the deformation curve is minimized to calculate the geodesic curve connecting two shapes on the shape space manifold. The geodesic distance illustrates the similarity between two shapes, which is used to compute the similarity between the deformations. We applied our method to classify the left ventricle deformations of myopathic and control subjects, and the sensitivity and specificity of our method were 88.8% and 85.7%, which are higher than other methods based on the left ventricle cavity, which shows our method can quantify the similarity and disparity of the left ventricle motion well.</description><identifier>ISSN: 1524-0703</identifier><identifier>EISSN: 1524-0711</identifier><identifier>DOI: 10.1016/j.gmod.2013.12.001</identifier><identifier>CODEN: GRMOFM</identifier><language>eng</language><publisher>Amsterdam: Elsevier Inc</publisher><subject>Applied sciences ; Artificial intelligence ; Classification ; Computer science; control theory; systems ; Deformation ; Exact sciences and technology ; Fundamental areas of phenomenology (including applications) ; General topology ; Holes ; Information retrieval. Graph ; Joining ; Manifolds ; Mathematical analysis ; Mathematics ; Measurement and testing methods ; Pattern recognition. Digital image processing. Computational geometry ; Physics ; Riemannian metric ; Sciences and techniques of general use ; Shape deformation ; Shape space ; Similarity ; Solid mechanics ; Structural and continuum mechanics ; Theoretical computing ; Three dimensional models ; Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds</subject><ispartof>Graphical models, 2014-03, Vol.76 (2), p.57-69</ispartof><rights>2013</rights><rights>2015 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c363t-eb4be8b1af8cbe003dd507e2f9a7b26cd6dfef23eb271ecee38b2c030258c2d53</citedby><cites>FETCH-LOGICAL-c363t-eb4be8b1af8cbe003dd507e2f9a7b26cd6dfef23eb271ecee38b2c030258c2d53</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.gmod.2013.12.001$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,780,784,3550,27924,27925,45995</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=29070359$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Taimouri, Vahid</creatorcontrib><creatorcontrib>Hua, Jing</creatorcontrib><title>Deformation similarity measurement in quasi-conformal shape space</title><title>Graphical models</title><description>[Display omitted]
•A novel framework for analysis and characterization of shape deformation.•A novel quasi-conformal metric to classify the deformations in shape space.•Classification of the left ventricle deformation in myopathic patients.
This paper presents a novel approach based on the shape space concept to classify deformations of 3D models. A new quasi-conformal metric is introduced which measures the curvature changes at each vertex of each pose during the deformation. The shapes with similar deformation patterns follow a similar deformation curve in shape space. Energy functional of the deformation curve is minimized to calculate the geodesic curve connecting two shapes on the shape space manifold. The geodesic distance illustrates the similarity between two shapes, which is used to compute the similarity between the deformations. We applied our method to classify the left ventricle deformations of myopathic and control subjects, and the sensitivity and specificity of our method were 88.8% and 85.7%, which are higher than other methods based on the left ventricle cavity, which shows our method can quantify the similarity and disparity of the left ventricle motion well.</description><subject>Applied sciences</subject><subject>Artificial intelligence</subject><subject>Classification</subject><subject>Computer science; control theory; systems</subject><subject>Deformation</subject><subject>Exact sciences and technology</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>General topology</subject><subject>Holes</subject><subject>Information retrieval. Graph</subject><subject>Joining</subject><subject>Manifolds</subject><subject>Mathematical analysis</subject><subject>Mathematics</subject><subject>Measurement and testing methods</subject><subject>Pattern recognition. Digital image processing. Computational geometry</subject><subject>Physics</subject><subject>Riemannian metric</subject><subject>Sciences and techniques of general use</subject><subject>Shape deformation</subject><subject>Shape space</subject><subject>Similarity</subject><subject>Solid mechanics</subject><subject>Structural and continuum mechanics</subject><subject>Theoretical computing</subject><subject>Three dimensional models</subject><subject>Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds</subject><issn>1524-0703</issn><issn>1524-0711</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2014</creationdate><recordtype>article</recordtype><recordid>eNp9kMtOwzAQRS0EEuXxA6yyQWKT4LHzlNhU5SlVYgNry7HH4CqJUztB6t-T0KpLVjOLc-9oDiE3QBOgkN9vkq_W6YRR4AmwhFI4IQvIWBrTAuD0uFN-Ti5C2EwAZClbkOUjGudbOVjXRcG2tpHeDruoRRlGjy12Q2S7aDvKYGPluj-4icK37DEKvVR4Rc6MbAJeH-Yl-Xx--li9xuv3l7fVch0rnvMhxjqtsaxBmlLVSCnXOqMFMlPJoma50rk2aBjHmhWACpGXNVOUU5aViumMX5K7fW_v3XbEMIjWBoVNIzt0YxDTP5CyqoJqQtkeVd6F4NGI3ttW-p0AKmZfYiNmX2L2JYCJSccUuj30y6BkY7zslA3HJKtme9lc_rDncHr2x6IXQVnsFGrrUQ1CO_vfmV9ma4Iy</recordid><startdate>201403</startdate><enddate>201403</enddate><creator>Taimouri, Vahid</creator><creator>Hua, Jing</creator><general>Elsevier Inc</general><general>Elsevier</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>8FD</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>201403</creationdate><title>Deformation similarity measurement in quasi-conformal shape space</title><author>Taimouri, Vahid ; Hua, Jing</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c363t-eb4be8b1af8cbe003dd507e2f9a7b26cd6dfef23eb271ecee38b2c030258c2d53</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2014</creationdate><topic>Applied sciences</topic><topic>Artificial intelligence</topic><topic>Classification</topic><topic>Computer science; control theory; systems</topic><topic>Deformation</topic><topic>Exact sciences and technology</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>General topology</topic><topic>Holes</topic><topic>Information retrieval. Graph</topic><topic>Joining</topic><topic>Manifolds</topic><topic>Mathematical analysis</topic><topic>Mathematics</topic><topic>Measurement and testing methods</topic><topic>Pattern recognition. Digital image processing. Computational geometry</topic><topic>Physics</topic><topic>Riemannian metric</topic><topic>Sciences and techniques of general use</topic><topic>Shape deformation</topic><topic>Shape space</topic><topic>Similarity</topic><topic>Solid mechanics</topic><topic>Structural and continuum mechanics</topic><topic>Theoretical computing</topic><topic>Three dimensional models</topic><topic>Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Taimouri, Vahid</creatorcontrib><creatorcontrib>Hua, Jing</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Graphical models</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Taimouri, Vahid</au><au>Hua, Jing</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Deformation similarity measurement in quasi-conformal shape space</atitle><jtitle>Graphical models</jtitle><date>2014-03</date><risdate>2014</risdate><volume>76</volume><issue>2</issue><spage>57</spage><epage>69</epage><pages>57-69</pages><issn>1524-0703</issn><eissn>1524-0711</eissn><coden>GRMOFM</coden><abstract>[Display omitted]
•A novel framework for analysis and characterization of shape deformation.•A novel quasi-conformal metric to classify the deformations in shape space.•Classification of the left ventricle deformation in myopathic patients.
This paper presents a novel approach based on the shape space concept to classify deformations of 3D models. A new quasi-conformal metric is introduced which measures the curvature changes at each vertex of each pose during the deformation. The shapes with similar deformation patterns follow a similar deformation curve in shape space. Energy functional of the deformation curve is minimized to calculate the geodesic curve connecting two shapes on the shape space manifold. The geodesic distance illustrates the similarity between two shapes, which is used to compute the similarity between the deformations. We applied our method to classify the left ventricle deformations of myopathic and control subjects, and the sensitivity and specificity of our method were 88.8% and 85.7%, which are higher than other methods based on the left ventricle cavity, which shows our method can quantify the similarity and disparity of the left ventricle motion well.</abstract><cop>Amsterdam</cop><pub>Elsevier Inc</pub><doi>10.1016/j.gmod.2013.12.001</doi><tpages>13</tpages></addata></record> |
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| subjects | Applied sciences Artificial intelligence Classification Computer science control theory systems Deformation Exact sciences and technology Fundamental areas of phenomenology (including applications) General topology Holes Information retrieval. Graph Joining Manifolds Mathematical analysis Mathematics Measurement and testing methods Pattern recognition. Digital image processing. Computational geometry Physics Riemannian metric Sciences and techniques of general use Shape deformation Shape space Similarity Solid mechanics Structural and continuum mechanics Theoretical computing Three dimensional models Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds |
| title | Deformation similarity measurement in quasi-conformal shape space |
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