Title :
Efficient kernel density estimation using the fast gauss transform with applications to color modeling and tracking
Author :
Elgammal, Ahmed ; Duraiswami, Ramani ; Davis, Larry S.
Author_Institution :
Dept. of Comput. Sci., Rutgers Univ., USA
Abstract :
Many vision algorithms depend on the estimation of a probability density function from observations. Kernel density estimation techniques are quite general and powerful methods for this problem, but have a significant disadvantage in that they are computationally intensive. In this paper, we explore the use of kernel density estimation with the fast Gauss transform (FGT) for problems in vision. The FGT allows the summation of a mixture of ill Gaussians at N evaluation points in O(M+N) time, as opposed to O(MN) time for a naive evaluation and can be used to considerably speed up kernel density estimation. We present applications of the technique to problems from image segmentation and tracking and show that the algorithm allows application of advanced statistical techniques to solve practical vision problems in real-time with today´s computers.
Keywords :
computer vision; image segmentation; transforms; Gauss transform; color modeling; density function; fast Gauss transform; image segmentation; image tracking; kernel density estimation; tracking; vision algorithms; Application software; Clustering algorithms; Computer vision; Density functional theory; Gaussian distribution; Gaussian processes; Image segmentation; Kernel; Numerical analysis; Probability density function;
Journal_Title :
Pattern Analysis and Machine Intelligence, IEEE Transactions on
DOI :
10.1109/TPAMI.2003.1240123