# Detecting parametric objects in large scenes by Monte Carlo sampling

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## Abstract

Point processes constitute a natural extension of Markov random fields (MRF), designed to handle parametric objects. They have shown efficiency and competitiveness for tackling object extraction problems in vision. Simulating these stochastic models is however a difficult task. The performances of the existing samplers are limited in terms of computation time and convergence stability, especially on large scenes. We propose a new sampling procedure based on a Monte Carlo formalism. Our algorithm exploits the Markovian property of point processes to perform the sampling in parallel. This procedure is embedded into a data-driven mechanism so that the points are distributed in the scene in function of spatial information extracted from the input data. The performances of the sampler are analyzed through a set of experiments on various object detection problems from large scenes, including comparisons to the existing algorithms. The sampler is also tested as optimization algorithm for MRF-based labeling problems.

### Keywords

Stochastic modeling Monte Carlo sampling Object detection Large scenes Energy minimization Point processes Markov random fields## Notes

### Acknowledgments

This work was partially funded by the European Research Council (ERC Starting Grant “Robust Geometry Processing”, Grant agreement 257474). The authors thank A. Lehmussola, V. Lempitsky, H. Bischof, R. Ehrich, the French Mapping Agency (IGN), the Tour du Valat, and the BRGM for providing the datasets, as well as the reviewers for their valuable comments.

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