Topic
Centroid
About: Centroid is a research topic. Over the lifetime, 4110 publications have been published within this topic receiving 53637 citations. The topic is also known as: barycenter (geometry) & geometric center of a plane figure.
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TL;DR: In this paper, a new approach called rolling penetrate descriptor for shape description is proposed, which combines the advantage of the contour-based and the region-based methods, and provides an unified scheme to handle various shapes.
13 citations
01 Jan 2019
TL;DR: This study proposes the use of the elbow method to determine the best number of clusters and determination of centroid based-on mean and median data and indicates that using initial centroid determination based on mean data makes the number of iterations needed to achieve uniformity in clusters less.
13 citations
01 Dec 2008
TL;DR: It is proved that all three Bregman divergences are unique, and closed-form solutions for the sided centroids that are generalized means are given, and a provably fast and efficient approximation algorithm for the symmetrized centroid is designed based on its exact geometric characterization.
Abstract: We generalize the notions of centroids and barycenters to the broad class of information-theoretic distortion measures called Bregman divergences. Because Bregman divergences are typically asymmetric, we consider both the left-sided and right-sided centroids and the symmetrized centroids, and prove that all three are unique. We give closed-form solutions for the sided centroids that are generalized means, and design a provably fast and efficient approximation algorithm for the symmetrized centroid based on its exact geometric characterization that requires solely to walk on the geodesic linking the two sided centroids.
13 citations
TL;DR: This paper represents the relationship between the stability of stairs climbing and the centroid position of the search and rescue robot and a computable function about this relationship is given.
Abstract: This paper represents the relationship between the stability of stairs climbing and the centroid position of the search and rescue robot. The robot system is considered as a mass point- plane model and the kinematics features are analyzed to find the relationship between centroid position and the maximal pitch angle of stairs the robot could climb up. A computable function about this relationship is given in this paper. During the stairs climbing, there is a maximal stability-keeping angle depends on the centroid position and the pitch angle of stairs, and the numerical formula is developed about the relationship between the maximal stability-keeping angle and the centroid position and pitch angle of stairs. The experiment demonstrates the trustworthy and correction of the method in the paper.
13 citations
TL;DR: The proposed approach is able to face cases where some of the reference beam spots have not a corresponding one in the distorted Hartmann diagram, and it can expand the dynamic range of the Shack-Hartmann sensor unwrapping the obtained dense dislocation maps.
Abstract: We present a robust, dense, and accurate Shack-Hartmann spot dislocation map determination method based on a regularized optical flow algorithm that does not require obtaining the spot centroids. The method is capable to measure in presence of strong noise, background illumination and spot modulating signals, which are typical limiting factors of traditional centroid detection algorithms. Moreover, the proposed approach is able to face cases where some of the reference beam spots have not a corresponding one in the distorted Hartmann diagram, and it can expand the dynamic range of the Shack-Hartmann sensor unwrapping the obtained dense dislocation maps. We have tested the algorithm with both simulations and experimental data obtaining satisfactory results. A complete MATLAB package that can reproduce all the results can be downloaded from [http://goo.gl/XbZVOr].
13 citations