{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,4]],"date-time":"2024-09-04T13:12:25Z","timestamp":1725455545074},"publisher-location":"Berlin, Heidelberg","reference-count":26,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540635178"},{"type":"electronic","value":"9783540695899"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[1997]]},"DOI":"10.1007\/bfb0017863","type":"book-chapter","created":{"date-parts":[[2005,11,13]],"date-time":"2005-11-13T07:34:52Z","timestamp":1131867292000},"page":"114-125","source":"Crossref","is-referenced-by-count":0,"title":["Some applications of representations of lie algebras and lie groups"],"prefix":"10.1007","author":[{"given":"Reiner","family":"Lenz","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2005,6,9]]},"reference":[{"key":"6_CR1","volume-title":"Wigner distribution functions for finite systems","author":"N. M. Atakishiyev","year":"1997","unstructured":"N. M. Atakishiyev, S. M. Chumakov, and K. B. Wolf. Wigner distribution functions for finite systems. Technical report, IIMAS, UNAM, Mexico, 1997."},{"key":"6_CR2","volume-title":"Fractional Fourier Kravchuk transform","author":"N. M. Atakishiyev","year":"1996","unstructured":"N. M. Atakishiyev and K. B. Wolf. Fractional Fourier Kravchuk transform. Technical report, IIMAS, UNAM, Mexico, 1996."},{"key":"6_CR3","series-title":"Encyclopedia of mathematics and its applications","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511759888","volume-title":"Angular momentum in quantum physics","author":"L. C. Biedenharn","year":"1984","unstructured":"L. C. Biedenharn. Angular momentum in quantum physics, volume 8 of Encyclopedia of mathematics and its applications. Addison-Wesley Publishing Company, Reading, Massachusetts, 1984."},{"issue":"5","key":"6_CR4","doi-asserted-by":"publisher","first-page":"400","DOI":"10.1006\/gmip.1995.1034","volume":"57","author":"G. Burel","year":"1995","unstructured":"Gilles Burel and Hugues Henocq. Determination of the orientation of 3d objects using spherical harmonics. CVGIP-Graphical Models and Image Processing, 57(5):400\u2013408, 1995.","journal-title":"CVGIP-Graphical Models and Image Processing"},{"key":"6_CR5","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/0165-1684(95)00039-G","volume":"45","author":"G. Burel","year":"1995","unstructured":"Gilles Burel and Hugues Henocq. Three-dimensional invariants and their application to object recognition. Signal Processing, 45:1\u201322, 1995.","journal-title":"Signal Processing"},{"key":"6_CR6","volume-title":"Orientation and shape from second derivatives in 3d volume data","author":"P. Danielsson","year":"1994","unstructured":"Per-Erik Danielsson. Orientation and shape from second derivatives in 3d volume data. Technical Report LiTH-ISY-R-1696, Dept. EE, Link\u00f6ping University, S58183 Link\u00f6ping, October 1994."},{"key":"6_CR7","unstructured":"Per-Erik Danielsson. Analysis of 3d volume data using 2nd derivatives. In Proceedings DICTA-95, Brisbane, pages 14\u201319, 1995."},{"key":"6_CR8","unstructured":"J.E. Dennis and R.B. Schnabel. Numerical Methods for Unconstrained Optimization and Nonlinear Equations. Prentice-Hall, 1983."},{"issue":"9","key":"6_CR9","doi-asserted-by":"publisher","first-page":"891","DOI":"10.1109\/34.93808","volume":"13","author":"W. T. Freeman","year":"1991","unstructured":"W. T. Freeman and E. H. Adelson. The design and use of steerable filters for image analysis. IEEE Transactions on Pattern Analysis and Machine, 13(9):891\u2013906, September 1991.","journal-title":"IEEE Transactions on Pattern Analysis and Machine"},{"key":"6_CR10","unstructured":"I. M. Gelfand, R. A. Minlos, and Z. Y. Shapiro. Representations of the rotation and Lorentz groups and their applications. Pergamon Press, 1963."},{"key":"6_CR11","doi-asserted-by":"crossref","unstructured":"M. Hamermesh. Group Theory and Its Applications to Physical Problems. Addison-Wesley, 1962.","DOI":"10.1119\/1.1941790"},{"key":"6_CR12","unstructured":"H. H\u00e4rtl. Darstellungstheorie in der Bildverarbeitung mit Schwerpunkt in der Bewegungsanalyse. PhD thesis, Universit\u00e4t Karlsruhe, 1991."},{"key":"6_CR13","unstructured":"Y. Hel-Or and P. C. Teo. A common framework for steerability, motion estimation and invariant feature detection. Technical report, Dept. CS. Stanford, 1996. STANCS-TN-96-28."},{"key":"6_CR14","doi-asserted-by":"crossref","unstructured":"Ken-Ichi Kanatani. Group Theoretical Methods in Image Understanding. Springer Verlag, 1990.","DOI":"10.1007\/978-3-642-61275-6"},{"issue":"2","key":"6_CR15","doi-asserted-by":"publisher","first-page":"163","DOI":"10.1016\/0031-3203(87)90050-1","volume":"20","author":"R. Lenz","year":"1987","unstructured":"R. Lenz. Optimal filters for the detection of linear patterns in 2-D and higher dimensional images. Pattern Recognition, 20(2):163\u2013172, 1987.","journal-title":"Pattern Recognition"},{"issue":"1\/2","key":"6_CR16","doi-asserted-by":"publisher","first-page":"199","DOI":"10.1016\/0031-3203(90)90060-X","volume":"23","author":"R. Lenz","year":"1990","unstructured":"Reiner Lenz. Group-invariant pattern recognition. Pattern Recognition, 23(1\/2):199\u2013218, 1990.","journal-title":"Pattern Recognition"},{"key":"6_CR17","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"crossref","DOI":"10.1007\/3-540-52290-5","volume-title":"Group Theoretical Methods in Image Processing","author":"R. Lenz","year":"1990","unstructured":"Reiner Lenz. Group Theoretical Methods in Image Processing. Lecture Notes in Computer Science (Vol. 413). Springer Verlag, Heidelberg, Berlin, New York, 1990."},{"key":"6_CR18","doi-asserted-by":"publisher","first-page":"1165","DOI":"10.1016\/0167-8655(95)00066-P","volume":"16","author":"M. Michaelis","year":"1995","unstructured":"M. Michaelis and Gerald Sommer. A Lie group approach to steerable filters. Pattern Recognition Letters, 16:1165\u20131174, 1995.","journal-title":"Pattern Recognition Letters"},{"key":"6_CR19","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4613-8142-6","volume-title":"Theory of Group Representations","author":"M. A. Naimark","year":"1982","unstructured":"M. A. Naimark and A. I. Stern. Theory of Group Representations. Springer Verlag, New York, Heidelberg, Berlin, 1982."},{"issue":"12","key":"6_CR20","doi-asserted-by":"publisher","first-page":"1171","DOI":"10.1109\/34.177382","volume":"14","author":"J. Segman","year":"1992","unstructured":"Joseph Segman, Jacob Rubinstein, and Yehoshua Zeevi. The canonical coordinates method for pattern deformation: Theoretical and computational considerations. IEEE Transactions on Pattern Analysis and Machine, 14(12):1171\u20131183, December 1992.","journal-title":"IEEE Transactions on Pattern Analysis and Machine"},{"key":"6_CR21","unstructured":"Ramachandra Ganesh Shenoy. Group Representations and Optimal Recovery in Signal Modeling. PhD thesis, Cornell University, 1991."},{"key":"6_CR22","volume-title":"Group Theory and Physics","author":"S. Sternberg","year":"1995","unstructured":"S. Sternberg. Group Theory and Physics. Cambridge University Press, Cambridge, England, first paperback edition edition, 1995."},{"issue":"4","key":"6_CR23","doi-asserted-by":"publisher","first-page":"422","DOI":"10.1137\/1006093","volume":"6","author":"J. Stuelpnagel","year":"1964","unstructured":"J. Stuelpnagel. On the parametrization of the three-dimensional rotation group. SIAM Review, 6(4):422\u2013430, 1964.","journal-title":"SIAM Review"},{"key":"6_CR24","doi-asserted-by":"crossref","unstructured":"N.Ja. Vilenkin and A.U. Klimyk. Representation of Lie groups and special functions. Mathematics and its applications: 72. Kluwer Academic, 1991\u20131993.","DOI":"10.1007\/978-94-017-2883-6"},{"key":"6_CR25","doi-asserted-by":"crossref","DOI":"10.1090\/mmono\/040","volume-title":"Compact Lie Groups and their Representations","author":"D. P. Zelobenko","year":"1973","unstructured":"D. P. Zelobenko. Compact Lie Groups and their Representations. American Mathematical Society, Providence, Rhode Island, 1973."},{"issue":"3","key":"6_CR26","doi-asserted-by":"crossref","first-page":"324","DOI":"10.1109\/TPAMI.1981.4767105","volume":"3","author":"S. W. Zucker","year":"1981","unstructured":"Steven W. Zucker and Robert A. Hummel. A three-dimensional edge operator. IEEE Transactions on Pattern Analysis and Machine, 3(3):324\u2013331, 1981.","journal-title":"IEEE Transactions on Pattern Analysis and Machine"}],"container-title":["Lecture Notes in Computer Science","Algebraic Frames for the Perception-Action Cycle"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BFb0017863","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,4,10]],"date-time":"2020-04-10T20:55:16Z","timestamp":1586552116000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BFb0017863"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1997]]},"ISBN":["9783540635178","9783540695899"],"references-count":26,"URL":"https:\/\/doi.org\/10.1007\/bfb0017863","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[1997]]}}}