Title
Gaussian mixture PHD and CPHD filtering with partially uniform target birth
Abstract
The standard Gaussian Mixture Probability Hypothesis Density (GMPHD) filter and Cardinalised Probability Hypothesis Density (GMCPHD) filter require the target birth model to take the form of a Gaussian mixture. Although any density (including a uniform density), can be approximated using a sum of Gaussians, this can be inefficient in practice, especially when a large number of Gaussians is required to achieve the desired accuracy. A better alternative in the case of an uninformative birth model would be to directly use a uniform density instead of a Gaussian mixture approximation. In this paper we present new forms of the GMPHD and GMCPHD filtering equations, which allow part of the target birth model to take on a uniform distribution, thus obviating the need to use large Gaussian mixtures to approximate a uniform birth density.
Year
Venue
Keywords
2012
Information Fusion
Gaussian distribution,filtering theory,probability,CPHD filtering equation,Gaussian mixture PHD filter,Gaussian mixture approximation,cardinalised probability hypothesis density filter,partially uniform target birth model,standard Gaussian mixture probability hypothesis density filter
Field
DocType
ISBN
Applied mathematics,Uniform distribution (continuous),Artificial intelligence,Gaussian function,Gaussian filter,Computer vision,Mathematical optimization,Gaussian random field,Generalized inverse Gaussian distribution,Gaussian,Normal-inverse Gaussian distribution,Gaussian noise,Mathematics
Conference
978-0-9824438-4-2
Citations 
PageRank 
References 
10
0.71
5
Authors
4
Name
Order
Citations
PageRank
Michael Beard11457.86
Ba Tuong Vo236220.68
Ba-Ngu Vo32408175.90
Sanjeev Arulampalam414219.13