منابع مشابه
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In 1983, Burt and Adelson introduced the Laplacian pyramid (LP) as a multiresolution representation for images. We study the LP using the frame theory, and this reveals that the usual reconstruction is suboptimal. We show that the LP with orthogonal filters is a tight frame, and thus, the optimal linear reconstruction using the dual frame operator has a simple structure that is symmetric with t...
متن کاملCombinatorial pyramids
An irregular pyramid consists of a stack of successively reduced graphs. Each smaller graph is deduced from the preceding one by the contraction or the removal of a set of edges. Using a fixed decimation ratio we need approximatelyO(log(image size)) graphs to encode the whole pyramid. A combinatorial map encodes a planar graph thanks to two permutations encoding the edges and their orientation ...
متن کاملCorrespondences between Pre-pyramids, Pyramids and Robinsonian Dissimilarities
We consider cluster structures in a general setting where they do not necessarily contain all singletons of the ground set. Then we provide a direct proof of the bijection between semi-proper robinsonian dissimilarities and indexed pre-pyramids. This result generalizes its analogue proven by Batbedat in the particular case of definite cluster structures. Moreover, the proposed proof shows that ...
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ژورنال
عنوان ژورنال: Bulletin of the Australian Mathematical Society
سال: 1992
ISSN: 0004-9727,1755-1633
DOI: 10.1017/s0004972700030252