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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
IV
2006
IEEE
210views Visualization» more  IV 2006»
13 years 10 months ago
FFT and Convolution Performance in Image Filtering on GPU
Many contemporary visualization tools comprise some image filtering approach. Since image filtering approaches are very computationally demanding, the acceleration using graphic...
Ondirej Fialka, Martin Cadík
SIAMSC
2010
159views more  SIAMSC 2010»
12 years 11 months ago
The Fast Generalized Gauss Transform
The fast Gauss transform allows for the calculation of the sum of N Gaussians at M points in O(N + M) time. Here, we extend the algorithm to a wider class of kernels, motivated by ...
Marina Spivak, Shravan K. Veerapaneni, Leslie Gree...
ARITH
2003
IEEE
13 years 10 months ago
The Interval Logarithmic Number System
This paper introduces the Interval Logarithmic Number System (ILNS), in which the Logarithmic Number System (LNS) is used as the underlying number system for interval arithmetic. ...
Mark G. Arnold, Jesus Garcia, Michael J. Schulte
SIAMAM
2010
90views more  SIAMAM 2010»
13 years 3 months ago
A Stochastic Analysis of a Greedy Routing Scheme in Sensor Networks
We address the stochastic characteristics of a recently-proposed greedy routing scheme. The stochastic behaviour of individual hop advancements is examined to observe the overall ...
H. Paul Keeler, P. G. Taylor