Title
Rotation Invariant Angular Descriptor Via A Bandlimited Gaussian-like Kernel.
Abstract
We present a new 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.
Year
Venue
Field
2016
arXiv: Computer Vision and Pattern Recognition
Histogram,Radial basis function kernel,Kernel principal component analysis,Artificial intelligence,Geometry,Kernel (image processing),Kernel density estimation,Pattern recognition,Kernel embedding of distributions,Algorithm,Variable kernel density estimation,Mathematics,Kernel (statistics)
DocType
Volume
Citations 
Journal
abs/1606.02753
0
PageRank 
References 
Authors
0.34
17
3
Name
Order
Citations
PageRank
Michael T. McCann11919.41
Matthew C. Fickus2333.00
Jelena Kovacevic380295.87