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CAIP
1999
Springer
145views Image Analysis» more  CAIP 1999»
14 years 3 months ago
Optimized Fast Algorithms for the Quaternionic Fourier Transform
Abstract. In this article, we deal with fast algorithms for the quaternionic Fourier transform (QFT). Our aim is to give a guideline for choosing algorithms in practical cases. Hen...
Michael Felsberg, Gerald Sommer
ISAAC
2003
Springer
141views Algorithms» more  ISAAC 2003»
14 years 4 months ago
Quasi-optimal Arithmetic for Quaternion Polynomials
Abstract. Fast algorithms for arithmetic on real or complex polynomials are wellknown and have proven to be not only asymptotically efficient but also very practical. Based on Fas...
Martin Ziegler
STOC
2012
ACM
192views Algorithms» more  STOC 2012»
12 years 1 months ago
Nearly optimal sparse fourier transform
We consider the problem of computing the k-sparse approximation to the discrete Fourier transform of an ndimensional signal. We show: • An O(k log n)-time randomized algorithm f...
Haitham Hassanieh, Piotr Indyk, Dina Katabi, Eric ...
CVPR
2008
IEEE
15 years 1 months ago
Spatio-temporal Saliency detection using phase spectrum of quaternion fourier transform
Salient areas in natural scenes are generally regarded as the candidates of attention focus in human eyes, which is the key stage in object detection. In computer vision, many mod...
Chenlei Guo, Qi Ma, Liming Zhang
NIPS
2003
14 years 16 days ago
Generalised Propagation for Fast Fourier Transforms with Partial or Missing Data
Discrete Fourier transforms and other related Fourier methods have been practically implementable due to the fast Fourier transform (FFT). However there are many situations where ...
Amos J. Storkey