Representing Orientation in n-Dimensional Spaces
作者： B. Rieger , L. J. van Vliet
DOI: 10.1007/978-3-540-45179-2_3
关键词:
摘要: In this paper we present new insights in methods to solve the orientation representation problem arbitrary dimensions. The gradient structure tensor is one of most used descriptors local multi-dimensional images. We will relate its properties double angle method 2D and Knutsson mapping three or higher a general scheme reduce dimensionality mappings needed derive some these reduced mappings.
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sci-hub.se 参考文章(14)
Carl-Fredrik Westin, A Tensor Framework for Multidimensional Signal Processing Linköping University Electronic Press. ,(1994)
Hans Knutsson, Carl-Fredrik Westin, Mats Andersson, Representing local structure using tensors II scandinavian conference on image analysis. pp. 545- 556 ,(2011) , 10.1007/978-3-642-21227-7_51
Hans Knutsson, GFosta H. Granlund, Signal processing for computer vision ,(1994)
Enzmann, Taschenbuch der Mathematik Harri Deutsch. ,(1966)
Hans Knutsson, Producing a Continuous and Distance Preserving 5-D Vector Representation of 3-D Orientation pp. 175- 182 ,(1985)
M. Van Ginkel, P.W. Verbeek, L.J. Van Vliet, J. Van de Weijer, Curvature estimation from orientation fields scandinavian conference on image analysis. ,(1999)
Goesta H. Granlund, In search of a general picture processing operator Computer Graphics and Image Processing. ,vol. 8, pp. 155- 173 ,(1978) , 10.1016/0146-664X(78)90047-3
J. Bigun, G.H. Granlund, J. Wiklund, Multidimensional orientation estimation with applications to texture analysis and optical flow IEEE Transactions on Pattern Analysis and Machine Intelligence. ,vol. 13, pp. 775- 790 ,(1991) , 10.1109/34.85668
Hans Knutsson, Filtering and reconstruction in image processing Signal Processing. ,vol. 7, pp. 83- ,(1984) , 10.1016/0165-1684(84)90032-X
Michael Kass, Andrew Witkin, Analyzing oriented patterns Graphical Models \/graphical Models and Image Processing \/computer Vision, Graphics, and Image Processing. ,vol. 37, pp. 362- 385 ,(1987) , 10.1016/0734-189X(87)90043-0