Abstract
Hierarchical methods are well established in computer vision. The idea of processing images at various level of resolution is motivated by many factors, such as decreased computational cost, feasibility of divide-and-conquer methods, interaction of region based and point based operations. As a consequence, hierarchical data structures, broadly defined “pyramids”, have been introduced to experiment such ideas; among the various definitions of these data structures, overlapped pyramids have gained increasing interest especially for segmentation purposes. Meanwhile, the advantages of multi-resolution techniques have lead to the proposal of augmenting mesh-connected massively parallel architectures with pyramid like topology; a few such machines, designed to operate in SIMD or multi-SIMD mode, are in advanced stage of design or realization. It seems therefore interesting to study the effectiveness of pyramid architectures in some multiresolution algorithms, especially when the match between architecture and data structure is only partial; such is the case when machines with fixed connections among neighboring processing elements are used to run algorithms which exploit overlapped pyramids with dynamic links among adjacent levels.
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References
L. Uhr, “Layered recognition cones, networks that preprocess, classify and describe”, IEEE Trans. on Computers, vol. 21, pp. 756–768, July 72
S.L. Tanimoto, T. Pavlidis, “A hierarchical data structure for picture processing”, Computer Graphics and Image Processing, vol. 4, pp. 104–109, 1975
A. Klinger, C.R. Dyer, “Experiments on picture representation using regular decomposition”, Computer Graphics and Image Processing, vol. 5, pp. 68–109, 1976
A. Hanson, E. Riseman, “Segmentation of natural scenes”, in Computer Vision Systems, A. Hanson and E. Riseman Eds., New York, Academic Press, 1978
P. Burt, T.H. Hong and A. Rosenfeld, “Segmentation and estimation hierarchical computation”, IEE Trans. Syst. Man Cyb., vol 11, pp.802–804, 1981
H. J. Antonisse, “Image segmentation in pyramids”, Computer Graphics and Image Processing, vol. 19, pp. 367–383, 1982
T. Silberberg, S. Peleg and A. Rosenfeld, “Multi resolution pixel linking for image smoothing and segmentation”, in Proc. Image Understanding Workshop, Washington, D.C., pp. 32–38, 1981
M. Pietikainen and A. Rosenfeld, “Image segmentation by texture using pyramid node linking”, IEEE Trans. Syst. Man Cyb., vol. 11, pp. 822–825, 1981
M.O. Shneier, “Extracting linear features from images using pyramids”, IEEE Trans. Syst. Man Cyb., vol. 12, pp. 569–572, 1982
T. H. Hong and A. Rosenfeld, “Unforced image partitioning by weighted pyramid linking”, in Proc. Image Understanding Workshop, Palo Alto, CA, pp. 72–78, 1982
S.L. Tartimoto, J.P. Crettez and J.C. Simon, “Alternative hierarchies for cellular logic”, in Proc. 7th Intern. Conf. on Pattern Recognition, Montreal, Canada, pp. 236–239, 1984
S.L. Tanimoto, “Sorting, histogramming and other statistical operations on a pyramid machine”, in Multiresolution Image Processing and Analysis, A. Rosenfeld Ed., Springer Verlag, 1984
Q.F. Stout, R. Miller, “Data movement techniques for the pyramid computer”, to be published
P.J. Burt, “Fast filter transforms for image processing” in Computer Graphics and Image Processing, vol. 16, pp. 20–51, 1981
P.J. Burt, “The pyramid as a structure for efficient computation”, in Multiresolution Image Processing and Analysis, A. Rosenfeld Ed., Springer Verlag, 1984
J. Cibulskis and C.R. Dyer, “Node linking strategies in pyramids for image segmentation”, in Multiresolution Image Processing and Analysis, A. Rosenfeld Ed., Springer Verlag, 1984
T. H. Hong and A. Rosenfeld, “Compact region extraction using weighted pixel linking in a pyramid”, IEEE Tran. on Pattern Anal. and Mach. Intell., vol. PAMI-6, pp. 222–229, 1984
S.L. Tanimoto, “Towards hierarchical cellular logic: design considerations for pyramids machines”, Comp. Sc. Dept., Univ. Washington, Techn. Report 81-02-01, Feb. 81
D.H. Schaefer, G.C. Wilcox and V.J. Harris, “A pyramid of MPP processing elements- experiences and plans”, Proc. 18th Annual Hawaii International Conference on System Sciences, Vol. 1, pp. 178–184.
N. Ahuja and S. Swamy, “Multiporcessor pyramid architectures for bottom-up image analysis”, in Multiresolution Image Processing and Analysis, A. Rosenfeld Ed., Springer Verlag, 1984
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© 1986 Springer-Verlag Berlin Heidelberg
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Ferretti, M. (1986). Overlapping in Compact Pyramids. In: Cantoni, V., Levialdi, S. (eds) Pyramidal Systems for Computer Vision. NATO ASI Series, vol 25. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82940-6_15
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DOI: https://doi.org/10.1007/978-3-642-82940-6_15
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