Motion Analysis Using 3D High-Resolution Frequency Analysis
The spatiotemporal spectra of a video that contains a moving object form a plane in the 3D frequency domain. This plane, which is described as the theoretical motion plane, reflects the velocity of the moving objects, which is calculated from the slope. However, if the resolution of the frequency an...
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description | The spatiotemporal spectra of a video that contains a moving object form a plane in the 3D frequency domain. This plane, which is described as the theoretical motion plane, reflects the velocity of the moving objects, which is calculated from the slope. However, if the resolution of the frequency analysis method is not high enough to obtain actual spectra from the object signal, the spatiotemporal spectra disperse away from the theoretical motion plane. In this paper, we propose a high-resolution frequency analysis method, described as 3D nonharmonic analysis (NHA), which is only weakly influenced by the analysis window. In addition, we estimate the motion vectors of objects in a video using the plane-clustering method, in conjunction with the least-squares method, for 3D NHA spatiotemporal spectra. We experimentally verify the accuracy of the 3D NHA and its usefulness for a sequence containing complex motions, such as cross-over motion, through comparison with 3D fast Fourier transform. The experimental results show that increasing the frequency resolution contributes to high-accuracy estimation of a motion plane. |
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This plane, which is described as the theoretical motion plane, reflects the velocity of the moving objects, which is calculated from the slope. However, if the resolution of the frequency analysis method is not high enough to obtain actual spectra from the object signal, the spatiotemporal spectra disperse away from the theoretical motion plane. In this paper, we propose a high-resolution frequency analysis method, described as 3D nonharmonic analysis (NHA), which is only weakly influenced by the analysis window. In addition, we estimate the motion vectors of objects in a video using the plane-clustering method, in conjunction with the least-squares method, for 3D NHA spatiotemporal spectra. We experimentally verify the accuracy of the 3D NHA and its usefulness for a sequence containing complex motions, such as cross-over motion, through comparison with 3D fast Fourier transform. The experimental results show that increasing the frequency resolution contributes to high-accuracy estimation of a motion plane.</description><identifier>ISSN: 1057-7149</identifier><identifier>EISSN: 1941-0042</identifier><identifier>DOI: 10.1109/TIP.2012.2228490</identifier><identifier>PMID: 23192554</identifier><identifier>CODEN: IIPRE4</identifier><language>eng</language><publisher>New York, NY: IEEE</publisher><subject>Accuracy ; Algorithms ; Applied sciences ; Clustering methods ; Detection, estimation, filtering, equalization, prediction ; Exact sciences and technology ; Fourier transforms ; Frequency domain analysis ; Frequency estimation ; Image Enhancement - methods ; Image Interpretation, Computer-Assisted - methods ; image motion analysis ; Image processing ; Image restoration ; Imaging, Three-Dimensional - methods ; Information, signal and communications theory ; Least squares method ; least squares methods ; Mathematical analysis ; Motion ; Numerical Analysis, Computer-Assisted ; Pattern Recognition, Automated - methods ; Planes ; Reproducibility of Results ; Sensitivity and Specificity ; Signal and communications theory ; Signal processing ; Signal representation. Spectral analysis ; Signal resolution ; Signal, noise ; Spatiotemporal phenomena ; Spectra ; Studies ; Telecommunications and information theory ; Three dimensional ; Transaction processing ; Vectors (mathematics) ; Video Recording - methods</subject><ispartof>IEEE transactions on image processing, 2013-08, Vol.22 (8), p.2946-2959</ispartof><rights>2014 INIST-CNRS</rights><rights>Copyright The Institute of Electrical and Electronics Engineers, Inc. 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This plane, which is described as the theoretical motion plane, reflects the velocity of the moving objects, which is calculated from the slope. However, if the resolution of the frequency analysis method is not high enough to obtain actual spectra from the object signal, the spatiotemporal spectra disperse away from the theoretical motion plane. In this paper, we propose a high-resolution frequency analysis method, described as 3D nonharmonic analysis (NHA), which is only weakly influenced by the analysis window. In addition, we estimate the motion vectors of objects in a video using the plane-clustering method, in conjunction with the least-squares method, for 3D NHA spatiotemporal spectra. We experimentally verify the accuracy of the 3D NHA and its usefulness for a sequence containing complex motions, such as cross-over motion, through comparison with 3D fast Fourier transform. The experimental results show that increasing the frequency resolution contributes to high-accuracy estimation of a motion plane.</description><subject>Accuracy</subject><subject>Algorithms</subject><subject>Applied sciences</subject><subject>Clustering methods</subject><subject>Detection, estimation, filtering, equalization, prediction</subject><subject>Exact sciences and technology</subject><subject>Fourier transforms</subject><subject>Frequency domain analysis</subject><subject>Frequency estimation</subject><subject>Image Enhancement - methods</subject><subject>Image Interpretation, Computer-Assisted - methods</subject><subject>image motion analysis</subject><subject>Image processing</subject><subject>Image restoration</subject><subject>Imaging, Three-Dimensional - methods</subject><subject>Information, signal and communications theory</subject><subject>Least squares method</subject><subject>least squares methods</subject><subject>Mathematical analysis</subject><subject>Motion</subject><subject>Numerical Analysis, Computer-Assisted</subject><subject>Pattern Recognition, Automated - methods</subject><subject>Planes</subject><subject>Reproducibility of Results</subject><subject>Sensitivity and Specificity</subject><subject>Signal and communications theory</subject><subject>Signal processing</subject><subject>Signal representation. Spectral analysis</subject><subject>Signal resolution</subject><subject>Signal, noise</subject><subject>Spatiotemporal phenomena</subject><subject>Spectra</subject><subject>Studies</subject><subject>Telecommunications and information theory</subject><subject>Three dimensional</subject><subject>Transaction processing</subject><subject>Vectors (mathematics)</subject><subject>Video Recording - methods</subject><issn>1057-7149</issn><issn>1941-0042</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><sourceid>EIF</sourceid><recordid>eNqF0c9LwzAUB_AgipvTuyDIQAQvne_lR9PiaUznBhNFtnNJs2R2dK0262H_vek2J3jxlEA-75H3voRcIvQQIb6fjt96FJD2KKURj-GItDHmGABweuzvIGQgkcctcubcEgC5wPCUtCjDmArB2-ThpVxnZdHtFyrfuMx1Zy4rFl322B1li4_g3bgyr7diWJmv2hR6c7Dn5MSq3JmL_dkhs-HTdDAKJq_P40F_EmiOsA6EVWisUBoim-o0BWpT0IxZaQ1GFFExjnOGVCrDDM4VjUIlhUqlpyakrEPudn0_q9J_wa2TVea0yXNVmLJ2CYayGUwA_E-ZCGMRhpH09OYPXZZ15UfbKkn9jij3CnZKV6VzlbHJZ5WtVLVJEJImg8RnkDQZJPsMfMn1vnGdrsz8UPCzdA9u90A5rXJbqUJn7tdJEccyahpd7VxmjDk8h83nZMS-ASDXlRk</recordid><startdate>20130801</startdate><enddate>20130801</enddate><creator>Ueda, T.</creator><creator>Fujii, K.</creator><creator>Hirobayashi, S.</creator><creator>Yoshizawa, T.</creator><creator>Misawa, T.</creator><general>IEEE</general><general>Institute of Electrical and Electronics Engineers</general><general>The Institute of Electrical and Electronics Engineers, Inc. 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This plane, which is described as the theoretical motion plane, reflects the velocity of the moving objects, which is calculated from the slope. However, if the resolution of the frequency analysis method is not high enough to obtain actual spectra from the object signal, the spatiotemporal spectra disperse away from the theoretical motion plane. In this paper, we propose a high-resolution frequency analysis method, described as 3D nonharmonic analysis (NHA), which is only weakly influenced by the analysis window. In addition, we estimate the motion vectors of objects in a video using the plane-clustering method, in conjunction with the least-squares method, for 3D NHA spatiotemporal spectra. We experimentally verify the accuracy of the 3D NHA and its usefulness for a sequence containing complex motions, such as cross-over motion, through comparison with 3D fast Fourier transform. The experimental results show that increasing the frequency resolution contributes to high-accuracy estimation of a motion plane.</abstract><cop>New York, NY</cop><pub>IEEE</pub><pmid>23192554</pmid><doi>10.1109/TIP.2012.2228490</doi><tpages>14</tpages></addata></record> |
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subjects | Accuracy Algorithms Applied sciences Clustering methods Detection, estimation, filtering, equalization, prediction Exact sciences and technology Fourier transforms Frequency domain analysis Frequency estimation Image Enhancement - methods Image Interpretation, Computer-Assisted - methods image motion analysis Image processing Image restoration Imaging, Three-Dimensional - methods Information, signal and communications theory Least squares method least squares methods Mathematical analysis Motion Numerical Analysis, Computer-Assisted Pattern Recognition, Automated - methods Planes Reproducibility of Results Sensitivity and Specificity Signal and communications theory Signal processing Signal representation. Spectral analysis Signal resolution Signal, noise Spatiotemporal phenomena Spectra Studies Telecommunications and information theory Three dimensional Transaction processing Vectors (mathematics) Video Recording - methods |
title | Motion Analysis Using 3D High-Resolution Frequency Analysis |
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