Affine-invariant B-spline moments for curve matching
The article deals with the problem of matching and recognizing planar curves that are modeled by B-splines, independently of possible affine transformations to which the original curve has been subjected (for example, rotation, translation, scaling, orthographic, and semiperspective projections), an...
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Veröffentlicht in: | IEEE transactions on image processing 1996-10, Vol.5 (10), p.1473-1480 |
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creator | Huang, Z. Cohen, F.S. |
description | The article deals with the problem of matching and recognizing planar curves that are modeled by B-splines, independently of possible affine transformations to which the original curve has been subjected (for example, rotation, translation, scaling, orthographic, and semiperspective projections), and possible occlusion. It presents a fast algorithm for estimating the B-spline control points that is robust to nonuniform sampling, noise, and local deformations. Curve matching is achieved by using a similarity measure based on the B-spline knot points introduced by Cohen et al. (1991). This method, however, can neither handle the affine transformation between the curves nor the occlusion. Solutions to these two problems are presented through the use of a new class of weighted B-spline curve moments that are well defined for both open and closed curves. The method has been applied to classifying affine-transformed aircraft silhouettes, and appears to perform well. |
doi_str_mv | 10.1109/83.536895 |
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The method has been applied to classifying affine-transformed aircraft silhouettes, and appears to perform well.</description><subject>Aircraft</subject><subject>Applied sciences</subject><subject>Controllability</subject><subject>Design automation</subject><subject>Exact sciences and technology</subject><subject>Fourier transforms</subject><subject>Information, signal and communications theory</subject><subject>Noise robustness</subject><subject>Nonuniform sampling</subject><subject>Pattern recognition</subject><subject>Robust control</subject><subject>Shape control</subject><subject>Signal processing</subject><subject>Spline</subject><subject>Stochastic processes</subject><subject>Telecommunications and information theory</subject><issn>1057-7149</issn><issn>1941-0042</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1996</creationdate><recordtype>article</recordtype><recordid>eNqN0M1LwzAYBvAgitPpwasH2UEUD535bJLjHH7BwIueS5q-0Uo_ZtIO_O_NaJk38ZTw5pcn4UHojOA5IVjfKjYXLFVa7KEjojlJMOZ0P-6xkIkkXE_QcQifGBMuSHqIJkRRjXHKjxBfOFc2kJTNxvjSNN3sLgnrKo5mdVtD04WZa_3M9n4TJ6azH2XzfoIOnKkCnI7rFL093L8un5LVy-PzcrFKLNO0S5wgBkDmTuo8h8LmSknJbWowUKsKYqRgOP5a0EJwYnJCmdTa0niFOsgLNkXXQ-7at189hC6ry2ChqkwDbR8yyTiVFBMW5dWfkiqlKE7lPyDVTEsc4c0ArW9D8OCytS9r478zgrNt65li2dB6tBdjaJ_XUPzKseYILkdggjWV86axZdg5Rlmq-TbnfGAlAOxOx0d-AHU2kA8</recordid><startdate>19961001</startdate><enddate>19961001</enddate><creator>Huang, Z.</creator><creator>Cohen, F.S.</creator><general>IEEE</general><general>Institute of Electrical and Electronics Engineers</general><scope>IQODW</scope><scope>NPM</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><scope>H8D</scope><scope>7X8</scope></search><sort><creationdate>19961001</creationdate><title>Affine-invariant B-spline moments for curve matching</title><author>Huang, Z. ; Cohen, F.S.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c392t-f51aee7bf79bbedcb88774c6a0e2c8d1a753089552d541ab123799c2e7b2febd3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1996</creationdate><topic>Aircraft</topic><topic>Applied sciences</topic><topic>Controllability</topic><topic>Design automation</topic><topic>Exact sciences and technology</topic><topic>Fourier transforms</topic><topic>Information, signal and communications theory</topic><topic>Noise robustness</topic><topic>Nonuniform sampling</topic><topic>Pattern recognition</topic><topic>Robust control</topic><topic>Shape control</topic><topic>Signal processing</topic><topic>Spline</topic><topic>Stochastic processes</topic><topic>Telecommunications and information theory</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Huang, Z.</creatorcontrib><creatorcontrib>Cohen, F.S.</creatorcontrib><collection>Pascal-Francis</collection><collection>PubMed</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><collection>Aerospace Database</collection><collection>MEDLINE - Academic</collection><jtitle>IEEE transactions on image processing</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Huang, Z.</au><au>Cohen, F.S.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Affine-invariant B-spline moments for curve matching</atitle><jtitle>IEEE transactions on image processing</jtitle><stitle>TIP</stitle><addtitle>IEEE Trans Image Process</addtitle><date>1996-10-01</date><risdate>1996</risdate><volume>5</volume><issue>10</issue><spage>1473</spage><epage>1480</epage><pages>1473-1480</pages><issn>1057-7149</issn><eissn>1941-0042</eissn><coden>IIPRE4</coden><abstract>The article deals with the problem of matching and recognizing planar curves that are modeled by B-splines, independently of possible affine transformations to which the original curve has been subjected (for example, rotation, translation, scaling, orthographic, and semiperspective projections), and possible occlusion. 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issn | 1057-7149 1941-0042 |
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subjects | Aircraft Applied sciences Controllability Design automation Exact sciences and technology Fourier transforms Information, signal and communications theory Noise robustness Nonuniform sampling Pattern recognition Robust control Shape control Signal processing Spline Stochastic processes Telecommunications and information theory |
title | Affine-invariant B-spline moments for curve matching |
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