2017
DOI: 10.1007/s00006-017-0759-1
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Object Detection in Point Clouds Using Conformal Geometric Algebra

Abstract: Abstract. This paper presents an approach for detecting primitive geometric objects in point clouds captured from 3D cameras. Primitive objects are objects that are well defined with parameters and mathematical relations, such as lines, spheres and ellipsoids. RANSAC, a robust parameter estimator that classifies and neglects outliers, is used for object detection. The primitives considered are modeled, filtered and fitted using the conformal model of geometric algebra. Methods for detecting planes, spheres and… Show more

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Cited by 16 publications
(7 citation statements)
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References 11 publications
(9 reference statements)
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“…4c, where several items were placed on a table. The objects were extracted using [26], which generated a set of point The RMS shows the overall distance error between the two compared point clouds. The comment describes some of the remarks that was done with the visual inspection of the results clouds.…”
Section: Methodsmentioning
confidence: 99%
“…4c, where several items were placed on a table. The objects were extracted using [26], which generated a set of point The RMS shows the overall distance error between the two compared point clouds. The comment describes some of the remarks that was done with the visual inspection of the results clouds.…”
Section: Methodsmentioning
confidence: 99%
“…Classical Inlier/Outlier Estimation Approaches Given a pair of point clouds, inlier estimation determines which points in one point cloud are most similar to the points in another. Estimating inlier point-pairs is a well documented problem that finds application in registration [11], object detection [37], and flow estimation [23]. Locally optimal methods achieve this by finding all point-pairs between point clouds, and retaining only the inliers by using algorithms such as RANSAC [35,26].…”
Section: Related Workmentioning
confidence: 99%
“…Gallo et al [18] address the problem of RANSAC often connecting nearby patches that are actually unconnected, for example at steps and curbs. By combining RANSAC with conformal geometric algebra, Sveier et al [19] perform the least squares fitting necessary to assess the fitness of a plane hypothesis analytically instead of numerically. Alehdaghi et al [20] present a highly parallelized GPU implementation of RANSAC for plane extraction.…”
Section: Related Workmentioning
confidence: 99%