A Theory for Multiresolution Signal Decomposition: The Wavelet Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Computation of component image velocity from local phase information
International Journal of Computer Vision
Ten lectures on wavelets
A friendly guide to wavelets
Signal Processing for Computer Vision
Signal Processing for Computer Vision
A Wavelet Tour of Signal Processing, Third Edition: The Sparse Way
A Wavelet Tour of Signal Processing, Third Edition: The Sparse Way
Motion estimation using a complex-valued wavelet transform
IEEE Transactions on Signal Processing
Quaternion wavelet phase based stereo matching for uncalibrated images
Pattern Recognition Letters
An uncertainty principle for quaternion Fourier transform
Computers & Mathematics with Applications
Local quaternion Fourier transform and color image texture analysis
Signal Processing
Quaternion multiplier inspired by the lifting implementation of plane rotations
IEEE Transactions on Circuits and Systems Part I: Regular Papers
IbPRIA'11 Proceedings of the 5th Iberian conference on Pattern recognition and image analysis
Quaternionic wavelets for texture classification
Pattern Recognition Letters
P300 feature extraction for visual evoked EEG based on wavelet transform
AICI'11 Proceedings of the Third international conference on Artificial intelligence and computational intelligence - Volume Part II
Colorization using quaternion algebra with automatic scribble generation
MMM'12 Proceedings of the 18th international conference on Advances in Multimedia Modeling
Hi-index | 0.00 |
This paper presents the theory and practicalities of the quaternion wavelet transform (QWT). The major contribution of this work is that it generalizes the real and complex wavelet transforms and derives a quaternionic wavelet pyramid for multi-resolution analysis using the quaternionic phase concept. As a illustration we present an application of the discrete QWT for optical flow estimation. For the estimation of motion through different resolution levels we use a similarity distance evaluated by means of the quaternionic phase concept and a confidence mask. We show that this linear approach is amenable to be extended to a kind of quadratic interpolation.