Robotics: Science and Systems VI 2010
DOI: 10.15607/rss.2010.vi.027
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Efficient Non-Parametric Surface Representations Using Active Sampling for Push Broom Laser Data

Abstract: Abstract-This paper concerns the creation of efficient surface representations from laser point clouds. We produce a continuous, implicit, non-parametric representation with an update time that is constant. The algorithm places no restriction on the complexity of the underlying workspace surfaces and automatically prunes redundant data via an information theoretic criterion. This criterion makes the use of Gaussian Process regression a natural choice. We adopt a formulation which handles the typical non-functi… Show more

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Cited by 12 publications
(12 citation statements)
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“…In robotics, GPs have been used in terrain and surface modeling (O'Callaghan & Ramos, ; Smith, Posner, & Newman, ; Vasudevan, Ramos, Nettleton, Durrant鈥怶hyte, & Blair, ). In all these works, the utilization varies with the properties of the applications, the structure of the model, and the usage of the correlation information.…”
Section: Gaussian Processes For Spatial Regression Mapping From Samplmentioning
confidence: 99%
“…In robotics, GPs have been used in terrain and surface modeling (O'Callaghan & Ramos, ; Smith, Posner, & Newman, ; Vasudevan, Ramos, Nettleton, Durrant鈥怶hyte, & Blair, ). In all these works, the utilization varies with the properties of the applications, the structure of the model, and the usage of the correlation information.…”
Section: Gaussian Processes For Spatial Regression Mapping From Samplmentioning
confidence: 99%
“…However, both of these techniques are limited by their formulation to representing environments in 2.5 dimensions. Smith et al (2010) present a possible method of addressing this by modelling the terrain in the sensor space before being mapped back to the physical space. While this approach is capable of representing overhangs in the environments, querying the model with physical locations as inputs is no longer possible.…”
Section: Applications Of Gaussian Processes To Roboticsmentioning
confidence: 99%
“…Several papers have addressed the issue of preventing the size of the training data growing to unmanageable levels. Notably, Smith et al (2010) suggests using KLdivergence as a metric to gauge the information gained from incorporating new points into the training set and reject those which fail to meet a certain threshold.…”
Section: Nearest Neighbours and Computational Complexitymentioning
confidence: 99%
“…GPs thus handle both uncertainty and incompleteness effectively. In terrain modelling GPs have been used before to model and use the spatial correlation of the given data to estimate the elevation values for other unknown points of interest [8], [9] and more recently [10]. A recent approach for occupancy mapping with GPs has also been presented in [11].…”
Section: Literature Reviewmentioning
confidence: 99%