Publication 2001 Issue No. 12 - December Abstract - L_2 Vector Median Filters on Arrays with Reconfigurable Optical Buses
L_2 Vector Median Filters on Arrays with Reconfigurable Optical Buses
December 2001 (vol. 12 no. 12)
pp. 1281-1292
 ASCII Text x C.-H. Wu, S.-J. Horng, "L_2 Vector Median Filters on Arrays with Reconfigurable Optical Buses," IEEE Transactions on Parallel and Distributed Systems, vol. 12, no. 12, pp. 1281-1292, December, 2001.
 BibTex x @article{ 10.1109/71.970563,author = {C.-H. Wu and S.-J. Horng},title = {L_2 Vector Median Filters on Arrays with Reconfigurable Optical Buses},journal ={IEEE Transactions on Parallel and Distributed Systems},volume = {12},number = {12},issn = {1045-9219},year = {2001},pages = {1281-1292},doi = {http://doi.ieeecomputersociety.org/10.1109/71.970563},publisher = {IEEE Computer Society},address = {Los Alamitos, CA, USA},}
 RefWorks Procite/RefMan/Endnote x TY - JOURJO - IEEE Transactions on Parallel and Distributed SystemsTI - L_2 Vector Median Filters on Arrays with Reconfigurable Optical BusesIS - 12SN - 1045-9219SP1281EP1292EPD - 1281-1292A1 - C.-H. Wu, A1 - S.-J. Horng, PY - 2001KW - Parallel algorithmKW - scalable algorithmKW - vector median filterKW - nonlinear filterKW - image (signal) processingKW - reconfigurable optical bus systemVL - 12JA - IEEE Transactions on Parallel and Distributed SystemsER -

In spite of their good filtering characteristics for vector-valued image processing, the usability of vector median filters is limited by their high computational complexity. Given an N\times N image and a W\times W window, the computational complexity of vector median filter is O(W^{4} N^{2}). In this paper, we design three fast and efficient parallel algorithms for vector median filtering based on the 2\hbox{-}{\rm{norm}} (L_2) on the arrays with reconfigurable optical buses (AROB). For 1\leq p\leq W\leq q \leq N, our algorithms run in O(W^{4}\log W/p^{4}), O({\frac{W^{4}N^{2}}{p^{4}q^{2}}}\log W) and O(1) times using p^{4}N^{2}/\log W, p^{4}q^{2}/\log W, and W^{4}N^{2}\log N$processors, respectively. In the sense of the product of time and the number of processors used, the first two results are cost optimal and the last one is time optimal. [1] S.G. Akl, Parallel Computation: Models and Methods. Upper Saddle River, N.J.: Prentice Hall, 1997. [2] G. Angelopoulos and I. Pitas, “Two-Dimensional Vector Median Filters on Mesh Connected Computers,” Proc. Int'l Conf. Image Processing, pp. 650-653, 1994. [3] J. Astola, P. Haavisto, and Y. Neuvo, Vector Median Filters Proc. IEEE, vol. 78, no. 4, pp. 678-689, 1990. [4] M. Barni, V. Cappellini, and A. Mecocci, “The Use of Different Metrics in Vector Median Filtering: Application to Fine Arts and Paintings,” Proc. Sixth Int'l Conf. Signal Processing, Theories, and Applications, pp. 1485-1488, 1992. [5] M. Barni, V. Cappellini, and A. Mecocci, “Fast Vector Median Filter Based on Euclidean Norm Approximation,” IEEE Signal Processing Letters, vol. 1, pp. 92-94, 1994. [6] M. Barni, F. Bartolini, and V. Cappellini, “Optimum Linear Approximation of the Euclidean Norm to Speed up Vector Median Filtering,” Proc. Int'l Conf. Image Processing, vol. 1, pp. 362- 365 1995. [7] M. Barni, “A Fast Algorithm for$1\hbox{-}{\rm{norm}}\$Vector Median Filter,” IEEE Trans. Image Processing, vol. 6, no. 10, pp. 583-586, 1997.
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Index Terms:
Parallel algorithm, scalable algorithm, vector median filter, nonlinear filter, image (signal) processing, reconfigurable optical bus system
Citation:
C.-H. Wu, S.-J. Horng, "L_2 Vector Median Filters on Arrays with Reconfigurable Optical Buses," IEEE Transactions on Parallel and Distributed Systems, vol. 12, no. 12, pp. 1281-1292, Dec. 2001, doi:10.1109/71.970563