Quaternion-Based Color Image Smoothing Using a Spatially Varying Kernel
EMMCVPR '09 Proceedings of the 7th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition
Estimation of motions in color image sequences using hypercomplex fourier transforms
IEEE Transactions on Image Processing
Quaternion multiplier inspired by the lifting implementation of plane rotations
IEEE Transactions on Circuits and Systems Part I: Regular Papers
Illumination invariant face image representation using quaternions
CIARP'10 Proceedings of the 15th Iberoamerican congress conference on Progress in pattern recognition, image analysis, computer vision, and applications
Evaluating a dancer's performance using kinect-based skeleton tracking
MM '11 Proceedings of the 19th ACM international conference on Multimedia
Quaternion correlation filters for illumination invariant face recognition
CIARP'11 Proceedings of the 16th Iberoamerican Congress conference on Progress in Pattern Recognition, Image Analysis, Computer Vision, and Applications
Illumination Invariant Face Recognition Using Quaternion-Based Correlation Filters
Journal of Mathematical Imaging and Vision
Attention selection using global topological properties based on pulse coupled neural network
Computer Vision and Image Understanding
Convolution Products for Hypercomplex Fourier Transforms
Journal of Mathematical Imaging and Vision
| Hi-index | 35.68 |
Correlation techniques have been applied to almost every area of signal processing over the past century, yet their use has, in general, been limited to scalar signals. While there have been implementations in multichannel applications, these can be characterized as a combination of single channel processes. True vector correlation techniques, with global and interchannel measures, have only recently been demonstrated and are still in their infancy by comparison. This paper describes our work on vector correlation based on the use of hypercomplex Fourier transforms and presents, for the first time, a unified theory behind the information contained in the peak of a vector correlation response. By using example applications for color images, we also demonstrate some of the practical implications, together with our latest results.