Research On Full Waveform LiDAR Date Decomposition

In decomposition of full waveform LiDAR data,automatically determining the number of waveform components is the focus and difficult problem.To this end,the approach with unknown number of-components based on Gaussian mixture model and effective scattering cell using the Reversible Jump Markov Chain Monte Carlo(RJMCMC)algorithm is presented.In Gaussian mixture model,first of all,a given full waveform LiDAR data is modeled on the assumption that energy recorded at elevation points satisfy Gaussian mixture distribution.The constraint function is defined to steer the model fitting the waveform.Correspondingly,a probability distribution based on the function is constructed by Gibbs.The Bayesian paradigm is followed to build waveform decomposition model.Then a RJMCMC scheme is used to simulate the decomposition model.However,this method is only considering the fitting of the waveform.In order to fully reflect the scattering characteristics of the target,the waveform is considered from the scattering mechanisms of the target.Therefore,in the effective scattering cell model,first of all,a given full waveform LiDAR data is modeled on the assumption that effective scattering cell recorded at elevation points.So the energy is converted into the number of the effective scattering cell.Then Poisson distribution is used to characterize the likelihood of the full waveform of LiDAR data,by assuming the mean function is a step function.The position of step function represent the relative altitude of the object,and the height of the step function represent the average of the number of the effective scattering cell.Then,a waveform decomposition model based on the effective scattering cell model are built using Bayesian paradigm;Then,a RJMCMC scheme is used to simulate the decomposition model.To test the proposal approach,the decomposition is carried out on the full waveform data.The testing results show that the proposed approach can not only determine the number of components,but also correspond to the object and reflect the scattering characteristics of the target.Furthermore,the results of evaluation show that the proposed approach works well and is very promising.Finally,the scattering coefficient is determined according to the number of the effective scattering cells and the scattering area of the target.