Sökning: L773:1939 3539 > (1990-1994) > Multidimensional or...
Fältnamn | Indikatorer | Metadata |
---|---|---|
000 | 03059naa a2200301 4500 | |
001 | oai:DiVA.org:liu-21590 | |
003 | SwePub | |
008 | 091004s1991 | |||||||||||000 ||eng| | |
024 | 7 | a https://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-215902 URI |
024 | 7 | a https://doi.org/10.1109/34.856682 DOI |
040 | a (SwePub)liu | |
041 | a engb eng | |
042 | 9 SwePub | |
072 | 7 | a ref2 swepub-contenttype |
072 | 7 | a art2 swepub-publicationtype |
100 | 1 | a Bigun, Josefu Linköpings universitet,Bildbehandling,Tekniska högskolan4 aut0 (Swepub:liu)josbi38 |
245 | 1 0 | a Multidimensional orientation estimation with applications to texture analysis and optical flow |
264 | 1 | b 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 | |
700 | 1 | a Granlund, Gösta H.u Linköpings universitet,Bildbehandling,Tekniska högskolan4 aut0 (Swepub:liu)gosgr20 |
700 | 1 | a Wiklund, Johanu Linköpings universitet,Bildbehandling,Tekniska högskolan4 aut0 (Swepub:liu)johwi57 |
710 | 2 | a Linköpings universitetb Bildbehandling4 org |
773 | 0 | t 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 |
856 | 4 8 | u https://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-21590 |
856 | 4 8 | u https://doi.org/10.1109/34.85668 |
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