Hurtgen, B., and T. Hain, On the Convergence of Fractal Transforms, IEEE Int'l Conf. Acoustics, Speech and Signal Processing, ICASSP-94, Adelaide, Australia, 19-22 April, 1994, Vol 5, pp 561-564.  Home/Search   Document Details and Download   Summary   Related Articles   Check

....used to describe contractivity and the function is called contractive if OYO OtO S . Since we have e OYO OYO the case OtO OYO S will be a sufficient but not necessary condition for F cH qS . The special case F H qS OYO OtO (13) is called eventual contractivity, see [6]. Since OtO OYO S is only a sufficient but not necessary condition for contractivity it will not be used in this paper. Eventual contractivity will be interpreted as a special case of contractivity. 4.1 Triangular matrices If the matrix is a triangular matrix the eigenvalues of will ....

B. Hurtgen and T. Hain, On the Convergence of Fractal Transforms, Proceedings of the IEEE International Conference on Acoustic Speech and Signal Processing ICASSP'94, pp. 103106, 1994.

....and Dudbridge for encoding of single image blocks [5] The structure of the transformation matrix becomes rather simple in this case since each block of the signal is treated independently from all others. An exact solution for the eigenvalues of this type of matrix has been presented partly in [10, 11] and therefore topic 2.1 only summarizes the results concisely. These results serve as basis for the second step on which the main attention is focused. Subsection 2.2 describes a later on published extension [12] including the previous mentioned simple scheme as special case. It additionally ....

B. Hurtgen and T. Hain, "On the convergence of fractal transforms," in Proceedings of the IEEE International Conference on Acoustics Speech and Signal Processing ICASSP'94, vol. 5, pp. 561--564, 1994.

....with the question of convergence at the decoder from a statistical point of view. Initial results have already been published in [3] The iterative process of reconstructing the fixed point from the fractal code demands all eigenvalues of the fractal operator to lie within the unit circle [4, 5, 6]. These eigenvalues are regarded as realizations of a random process whose characteristics depend on the structure of the fractal operator. This way the convergence of the reconstruction process for various fractal coding schemes can be assessed in a statistical sense. The paper is organized as ....

....12 a 13 a 14 cluster 9 Figure 2 Cycles of operator with parameter Convergence only depends on those mappings which are within a mapping cycle. Therefore the operator may be reduced to its cyclic part by removing those rows and columns which only describe the blocks of the mapping chains [5, 6, 4]. The resulting cyclic operator whose mapping cycles are shown in fig. 2 is denoted by . Each of these cycles can be treated independently from all others. This is due to the fact that those part of the signal corresponding to one cycle and parts corresponding to all other cycles are disjointed. ....

B. Hurtgen and T. Hain, "On the convergence of fractal transforms," in Proceedings of the IEEE International Conference on Acoustics Speech and Signal Processing ICASSP'94, vol. 5, pp. 561--564, 1994.

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Hurtgen, B., and T. Hain, On the Convergence of Fractal Transforms, IEEE Int'l Conf. Acoustics, Speech and Signal Processing, ICASSP-94, Adelaide, Australia, 19-22 April, 1994, Vol 5, pp 561-564.

No context found.

Hurtgen, B., Hain, T., On the convergence of fractal transforms, in: Proceedings of ICASSP-1994 IEEE International Conference on Acoustics, Speech and Signal Processing, Vol. 5, pp. 561--564, Adelaide, 1994.

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Hurtgen, B., Simon, S. F., On the convergence of fractal transforms, in: IEEE International Conference on Image Processing ICIP'94, Austin, Texas, November 1994.

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