References |
Hu, M.K., Visual pattern recognition by moment invariants (1962) IEEE Trans. on Information Theory IT–8, pp. 179-187; Abu-Mustafa, Y., Psaltis, D., Recognitive aspects of the moment invariants (1984) IEEE Trans. Pattern Anal. Mach. Intell, 6, pp. 1698-1706; Budricis, Z., Haymian, M., Moment calculations by digital filtres (1984) ATT Bell Labs Tech. J, 63, pp. 217-229; Dudani, S., Breeding, K., McChee, R., Aircraft identification by moment nvariants (1977) IEEE Trans. Comput, 26, pp. 39-45; Lucas, D., Moment techniques in picture analysis (1983) Int. Conf. on Comput Vision and Patt. Recogn, pp. 138-143; Reeves, A.P., The general theory of moments and the parallel implementation of moment operations (1981) Technical Report TR–EE, 10, pp. 81-91; Sadjadi, F.A., Hall, E.L., Three–dimensional moment invariants (1980) IEEE Trans. Pattern Anal. Mach. Intell, 2, pp. 127-136; Teague, M., Image analysis via the general theory of moments (1980) J. Opt. Soc. Am, 2, pp. 70-80. , 697–699, 920–930; Teh, C., Chin, R., On image analysis by the methods of moments (1988) IEEE Trans. Pattern Anal. Mach. Intell, 10, pp. 496-512; Labunets-Rundblad, E.V., Labunets, V.G., (2000) Spatial–Colour Clifford Algebra for Invariant Image Recognition. (Geometric Computing with Clifford Algebra), , Springer, Berlin Heideberg, be published; Bing-Cheng, L.J.S., Fast computation of moment invariants (1991) Pattern Recognition, 24 (8), pp. 807-813; Yang, L., Albergsten, F., Fast computation of invariant geometric moments: A new method giving correct results (1984) Proc. IEEE Int. Conf. on Image Proc, pp. 201-204; Labunets, E.V., (1996) Group–Theoretical Methods in Image Recognition, pp. 1-84. , Part 1. Report No LiTH–ISY–R–1827. Linköping University; Labunets, E.V., (1996) Group–Theoretical Methods in Image Recognition, pp. 85-141. , Part 2. Report No LiTH–ISY–R–1840, Linköping University; Labunets, E.V., (1996) Group–Theoretical Methods in Image Recognition, pp. 142-226. , Part 3. Report No LiTH–ISY–R–1852, Linköping University; Labunets, E.V., (1996) Group–Theoretical Methods in Image Recognition, pp. 227-281. , Part 4. Report No LiTH–ISY–R–1854, Linkoping University; Labunets, E.V., (1996) Group–Theoretical Methods in Image Recognition, pp. 1-281. , Report No LiTH–ISY–R–1855. Linköping University; Labunets, E.V., Labunets, V.G., (1997) Towards an”Erlangen program” for Pattern Recognition. Part 1. Geometry and Invariants. (Automatic and Information Technologies) UGTU–UPI Scientific Schools, 1, pp. 15-28. , Russian) Urals State Technical University, Ekaterinburg; Labunets, E.V., Labunets, V.G., (1997) Towards an”Erlangen program” for Pattern Recognition. Part 2. 2D and Nd Image Recognition. (Automatic and Information Technologies) UGTU–UPI Scientific Schools, 1, pp. 29-40. , Russian) Urals State Technical University, Ekaterinburg; Labunets, E.V., Uteschev, J.V., (1997) Towards an”Erlangen program” for Pattern Recognition. Part 3. Projective Model of Invariant Screen. (Automatic and Information Technologies) UGTU–UPI Scientific Schools, 1, pp. 41-52. , Russian) Urals State Technical University, Ekaterinburg; Labunets, E.V., Labunets, V.G., (1999) Algebraic–geometry Theory of Pattern Recognition. (Automatic and Information Technologies). UGTU–UPI Scientific Schools, 5, pp. 245-256. , Russian) Urals State Technical University, Ekaterinburg; Lidl, R., (1983) Finite Field, , Encyclopedia of Mathematics and Its Applications), London; Labunets, V.G., (1984) Algebraic Theory of Signals and Systems (Russian), , Krasnoyarsk State University Press, Krasnoyarsk; Varichenko, L.V., Labunets, V.G., Rakov, M.A., (1986) Abstract Algebraical Structures and Digital Signal Processing (Russian), p. 1986. , Naukova Dumka Press, Kiev; Driscoll, J.R., Healy, D.M., Rockmore, D.N., Fast discrete polynomial transforms with applications to data analysis for distance transitive graphs (1997) SIAM J. Comput, 26 (4), pp. 1066-1099; Labunets, E.V., Labunets, V.G., New fast algorithms of multidimensional Fourier and Radon discrete transforms (1998) First Int. Workshop on Transforms and Filter Banks, Tampere, Finland, TICSP Series, 1, pp. 147-178; Labunets, E.V., Labunets, V.G., Egiazarian, K., Astola, J., New fast algorithms of multidimensional Fourier and Radon discrete transforms (1999) IEEE Int. Conf. on ASSP, pp. 3193-3196. , Arizona, USA; Rundblad-Labunets, E.V., Labunets, V.G., Astola, J., Egiazarian, K., Fast fractional Fourier–Clifford transforms (1999) Second Int. Workshop on Transforms and Filter Banks. Tampere, Finland, TICSP Series, 4, pp. 376-405; Rundblad-Labunets, E.V., Labunets, V.G., Astola, L., Astola, J., Egiazarian, K., Fast algorithms of multidimensional discrete non–separable K–wave transformations and Volterra filtering (1999) Second Int. Workshop on Transforms and Filter Banks. Tampere, Finland, TICSP Series, 4, pp. 337-375; Rundblad-Labunets, E.V., Labunets, V.G., Egiazarian, K., Astola, J., A superfast convolutions technique for Volterra filtering (1999) Proc. of IEEE–EURASIP Workshop on Nonlinear Signal and Image Processing, pp. 399-403. , Antalya, Turkey; Labunets, E.V., Labunets, V.G., Egiazarian, K., Astola, J., New Fast Algorithms of Multidimensional Fourier and Radon Discrete Transforms (1999) IEEE Int. Conf. on ASSP, pp. 3193-3196. , Arizona, USA; Rundblad-Labunets, E.V., Labunets, V.G., Egiazarian, K., Astola, J., A superfast convolutions technique for Volterra filtering (1999) Proc. of IEEE–EURASIP Workshop on Nonlinear Signal and Image Processing, pp. 399-403. , Antalya, Turkey; Labunets, V.G., Fast spectral algorithms of invariant pattern recognition and image matching based on modular invariants (1990) 1St Int. Conf. on Informat. Techn. for Image Analysis and Pattern Recognition, pp. 70-89. , Lviv, USSR; Assonov, M.B., Labunets, E.V., Labunets, V.G., Lenz, R., (1996) Fast Spectral Algorithms for Invariant Pattern Recognition and Image Matching Based on Modular Invariants, pp. 284-288. , ICIP’96, Switzerland; Assonov, M.B., Labunets, E.V., Labunets, V.G., Lenz, R., (1996) Fast Spectral Algorithms for Invariant Pattern Recognition and Image Matching Based on Modular Invariants, , Report No LiTh–ISY–R–1850, Linköping University; Labunets, E.V., Labunets, V.G., Egiazarian, K., Astola, J., Fast spectral algorithms of invariants calculation (1999) Proc. 10Th Inter. Conf. on Image Analysis and Processing ICIAP’99, pp. 203-208. , Venice, Italy; Labunets, V.G., Labunets, E.V., Egiazarian, K., Astola, J., Hypercomplex moments application in invariant image recognition (1988) Proc. of IEEE Int. Conf. on Image Processing, Chicago, Illinois, 2, pp. 257-261; Labunets, E.V., Labunets, V.G., (1996) Hypercomplex Moments Using in Pattern Invariant Recognition, pp. 58-63. , (New Information Methods In Research of Discrete Structures) (Russian). IMM UD RAS, Ekaterinburg; Labunets, E.V., Labunets, V.G., (1995) Hypercomplex Moments Application in Pattern Invariant Recognition. Part 1. Generalized Complex Moments and Invariants. (The Century of Radio) (Russian), pp. 125-148. , IMM UD RAS, Ekaterinburg; Labunets, E.V., Labunets, V.G., (1995) Hypercomplex Moments Application in Pattern Invariant Recognition. Part 2. Quaternion Moments and Invariants. (The Century of Radio) (Russian), pp. 149-163. , IMM UD RAS, Ekaterinburg; Assonov, M.V., Labunets, E.V., Labunets, V.G., Lenz, R., (1995) Hypercomplex Moments Application in Pattern Invariant Recognition. Part 3. Fast Algorithms of Image Recognition and Matching Based on Modular Invariants. (The Century of Radio) (Russian), pp. 164-189. , IMM UD RAS, Ekaterinburg; Gauss, C.F., (1870–1927): Werke. Bd. 1–12. Göttingen; Hamilton, W.R., (1853) Lectures on Quaternions, , Dublin; Clifford, N.K., (1968), Mathematical papers. N. Y; Labunets, E.V., Labunets, V.G., (1996) Quaternion Moments Using in Pattern Invariant Recognition. (New Information Methods in Research of Discrete Structures) (Russian), pp. 63-69. , IMM UD RAS, Ekaterinburg; Cronin, T.W., Marschal, N.J., A retina with at least ten spectral types of photoreceptors in a mantis shrimp (1989) Nature, 339, pp. 137-140; Van Der Varden, B.L., (1968), Algebra. Springer–Verlag, Berlin, New York; Rundblad-Labunets, E.V., Labunets, V.G., Astola, J., Egiazarian, K., Polovnev, S.V., Fast invariant recognition of colour images based on Triplet–Fourier–Gauss transform (1999) Proc. of Int. Conf. Computer Science and Information Technologies, pp. 265-268. , Yerevan, Armenia; Rundblad-Labunets, E.V., Labunets, V.G., Fast invariant recognition of multicolour images based on Triplet–Fourier–Gauss transform (1999) Second Int. Workshop on Transforms and Filter Banks, Tampere, Finland, TICSP Series, 4, pp. 405-438; Hurwitz, A., (1896) Über Die Zahlntheorie Der Quaternion, pp. 313-340. , Nach. Geselschaft wiss. Göttingen, Math–Phys.Klasse |