compendium
paper information and status
M. T. McCann, M. Fickus, and J. Kovačević, "Rotation Invariant Angular Descriptor Via A Bandlimited Gaussian-like Kernel," 2015. (submitted)
[ pdf | @ IEEE Xplore | bibtex]
abstract
We present a smooth, Gaussian-like kernel that allows the kernel density estimate for an angular distribution to be exactly represented by a finite number of its Fourier series coefficients. Distributions of angular quantities, such as gradients, are a central part of several state-of-the-art image processing algorithms, but these distributions are usually described via histograms and therefore lack rotation invariance due to binning artifacts. Replacing histograming with kernel density estimation removes these binning artifacts and can provide a finite-dimensional descriptor of the distribution, provided that the kernel is selected to be bandlimited. In this paper, we present a new band-limited kernel that has the added advantage of being Gaussian-like in the angular domain. We then show that it compares favorably to gradient histograms for patch matching, person detection, and texture segmentation.
code
The archive contains the code for computing FS-KDEs using the proposed bandlimited Gaussian-like (BGL) kernel on sets of angles and on gradient images.
[download]
This work is licensed under a Creative Commons GNU General Public License. To view a copy of this license, visit http://creativecommons.org/licenses/GPL/2.0. If you use this code or any part thereof in your research or publication, please also include a reference to this paper. Thank you!
list of tested configurations
Windows 7 Service Pack 1 (64-bit), MATLAB 2013b
contact
For more information or to report bugs contact Michael McCann, mtmccann at cmu dot edu.