Two-Dimensional Hidden Markov Model for Classification of Continuous-Valued Noisy Vector Fields

In this paper we present a statistical model with a nonsymmetric half-plane (NSHP) region of support for two-dimensional continuous-valued vector fields. It has the simplicity, efficiency, and ease of use of the well-known hidden Markov model (HMM) and associated Baum-Welch algorithms for time-serie...

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Veröffentlicht in:IEEE transactions on aerospace and electronic systems 2011-04, Vol.47 (2), p.1073-1080
1. Verfasser: Baggenstoss, Paul M
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description In this paper we present a statistical model with a nonsymmetric half-plane (NSHP) region of support for two-dimensional continuous-valued vector fields. It has the simplicity, efficiency, and ease of use of the well-known hidden Markov model (HMM) and associated Baum-Welch algorithms for time-series and other one-dimensional problems. At the same time it is able to learn textures on a two-dimensional field. We describe a fast approximate forward procedure for computation of the joint probability density function (pdf) of the vector field as well as an approximate Baum-Welch algorithm for parameter reestimation. Radar and sonar applications include classification of two-dimensional fields such as range versus azimuth or range versus aspect angle data wherein each data point in the field consists of a multi-dimensional feature vector. We test the method using synthetic textures.
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subjects Algorithms
Data models
Hidden Markov models
Joints
Markov processes
Mathematical analysis
Mathematical models
Noise measurement
Pixel
Probability density functions
Studies
Support vector machine classification
Surface layer
Texture
Two dimensional
Vectors (mathematics)
title Two-Dimensional Hidden Markov Model for Classification of Continuous-Valued Noisy Vector Fields
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