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CPM
2007
Springer
167views Combinatorics» more  CPM 2007»
13 years 10 months ago
Deterministic Length Reduction: Fast Convolution in Sparse Data and Applications
In this paper a deterministic algorithm for the length reduction problem is presented. This algorithm enables a new tool for performing fast convolution in sparse data. While the ...
Amihood Amir, Oren Kapah, Ely Porat
CIMAGING
2009
184views Hardware» more  CIMAGING 2009»
13 years 5 months ago
Fast space-varying convolution and its application in stray light reduction
Space-varying convolution often arises in the modeling or restoration of images captured by optical imaging systems. For example, in applications such as microscopy or photography...
Jianing Wei, Guangzhi Cao, Charles A. Bouman, Jan ...
ICIP
2010
IEEE
13 years 2 months ago
Constructing a sparse convolution matrix for shift varying image restoration problems
Convolution operator is a linear operator characterized by a point spread functions (PSF). In classical image restoration problems, the blur is usually shift invariant and so the ...
Stanley H. Chan
JCSS
2010
105views more  JCSS 2010»
13 years 3 months ago
Fast convolution and Fast Fourier Transform under interval and fuzzy uncertainty
Convolution y(t) = a(t − s) · x(s) ds is one of the main techniques in digital signal processing. A straightforward computation of the convolution y(t) requires O(n2) steps, wh...
Guoqing Liu, Vladik Kreinovich
CORR
2010
Springer
66views Education» more  CORR 2010»
13 years 4 months ago
Efficient Dealiased Convolutions without Padding
Algorithms are developed for calculating dealiased linear convolution sums without the expense of conventional zero-padding or phase-shift techniques. For one-dimensional in-place ...
John C. Bowman, Malcolm Roberts