LIDAR WAVEFORM MODELING USING A MARKED POINT PROCESS

Clément Mallet (1, 2) , Florent Lafarge (3) , Frédéric Bretar (4) , Uwe Soergel (5) , Christian Heipke (5)

1 LTCI - Laboratoire Traitement et Communication de l'Information
2 MATIS - Méthodes d'Analyses pour le Traitement d'Images et la Stéréorestitution
3 GEOMETRICA - Geometric computing
4 CETE Normandie-Centre - Centre d'études techniques de l'équipement Normandie-Centre
5 IPI - Institut für Photogrammetrie und geoInformation

Lidar waveforms are 1D signal consisting of a train of echoes where each of them correspond to a scattering target of the Earth surface. Modeling these echoes with the appropriate parametric function is necessary to retrieve physical information about these objects and characterize their properties. This paper presents a marked point process based model to reconstruct a lidar signal in terms of a set of parametric functions. The model takes into account both a data term which measures the coherence between the models and the waveforms, and a regularizing term which introduces physical knowledge on the reconstructed signal. We search for the best configuration of functions by performing a Reversible Jump Markov Chain Monte Carlo sampler coupled with a simulated annealing. Results are finally presented on different kinds of signals in urban areas.

Mots clés: Signal reconstruction; Lidar; Source modeling; Marked point process; RJMCMC; 3D point cloud

Domaines: Mathématique discrète [cs.DM]

Clément Mallet, Florent Lafarge, Frédéric Bretar, Uwe Soergel, Christian Heipke. LIDAR WAVEFORM MODELING USING A MARKED POINT PROCESS. International Conference on Image Processing (ICIP), Nov 2009, Cairo, Egypt. ⟨hal-00781804⟩