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L773:1939 3539
 

Sökning: L773:1939 3539 > (1990-1994) > Multidimensional or...

LIBRIS Formathandbok  (Information om MARC21)
FältnamnIndikatorerMetadata
00003059naa a2200301 4500
001oai:DiVA.org:liu-21590
003SwePub
008091004s1991 | |||||||||||000 ||eng|
024a https://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-215902 URI
024a https://doi.org/10.1109/34.856682 DOI
040 a (SwePub)liu
041 a engb eng
042 9 SwePub
072 7a ref2 swepub-contenttype
072 7a art2 swepub-publicationtype
100a Bigun, Josefu Linköpings universitet,Bildbehandling,Tekniska högskolan4 aut0 (Swepub:liu)josbi38
2451 0a Multidimensional orientation estimation with applications to texture analysis and optical flow
264 1b Institute of Electrical and Electronics Engineers (IEEE),c 1991
338 a print2 rdacarrier
520 a The problem of detection of orientation in finite dimensional Euclidean spaces is solved in the least squares sense. In particular, the theory is developed for the case when such orientation computations are necessary at all local neighborhoods of the n-dimensional Euclidean space. Detection of orientation is shown to correspond to fitting an axis or a plane to the Fourier transform of an n-dimensional structure. The solution of this problem is related to the solution of a well-known matrix eigenvalue problem. Moreover, it is shown that the necessary computations can be performed in the spatial domain without actually doing a Fourier transformation. Along with the orientation estimate, a certainty measure, based on the error of the fit, is proposed. Two applications in image analysis are considered: texture segmentation and optical flow. An implementation for 2-D (texture features) as well as 3-D (optical flow) is presented. In the case of 2-D, the method exploits the properties of the complex number field to by-pass the eigenvalue analysis, improving the speed and the numerical stability of the method. The theory is verified by experiments which confirm accurate orientation estimates and reliable certainty measures in the presence of noise. The comparative results indicate that the proposed theory produces algorithms computing robust texture features as well as optical flow. The computations are highly parallelizable and can be used in realtime image analysis since they utilize only elementary functions in a closed form (up to dimension 4) and Cartesian separable convolutions.
653 a TECHNOLOGY
653 a TEKNIKVETENSKAP
700a Granlund, Gösta H.u Linköpings universitet,Bildbehandling,Tekniska högskolan4 aut0 (Swepub:liu)gosgr20
700a Wiklund, Johanu Linköpings universitet,Bildbehandling,Tekniska högskolan4 aut0 (Swepub:liu)johwi57
710a Linköpings universitetb Bildbehandling4 org
773t IEEE Transactions on Pattern Analysis and Machine Intelligenced : Institute of Electrical and Electronics Engineers (IEEE)g 13:8, s. 775-790q 13:8<775-790x 0162-8828x 1939-3539
8564 8u https://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-21590
8564 8u https://doi.org/10.1109/34.85668

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