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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.


Papers
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Journal Article
TL;DR: In this article, two models that predict perceived timbral brightness in terms of the centroid of the frequency spectrum were investigated, and the results indicated that brightness is much better correlated with frequency spectrum centroid (r = 0.513, p < 0.01) than with the ratio of centroid to the fundamental frequency.
Abstract: Two models that predict perceived timbral brightness in terms of the centroid of the frequency spectrum were investigated. One model simply uses the centroid of the frequency spectrum, the other divides this same value by the fundamental frequency: the latter scales the centroid of the frequency spectrum with the fundamental frequency. Different single tone and pitch combinations, presented sequentially, were compared. Participants were not-asked to ignore piich differences and intervals of greater than an octave were compared. The results indicate that brightness is much better correlated with frequency spectrum centroid (r = 0.513, p < 0.01) than with the ratio of the centroid of the frequency spectrum to the fundamental frequency (r = 0.030, p = 0.441).

101 citations

Journal ArticleDOI
TL;DR: A hybrid method to model and analyze the dynamic coupling of a space robotic system avoids the singularity problem for solving differential equations; at the velocity level, each type of coupling motion was separately modeled and analyzed for different requirements.
Abstract: Resolving linear and angular momentum conservation equations in different ways, a hybrid method was proposed to model and analyze the dynamic coupling of a space robotic system. This method dealt with the coupling problems for the base’s centroid position at the position level and attitude at the velocity level. Based on the base centroid virtual manipulator concept, the coupled space was addressed to represent the base’s centroid position coupling. For different cases, the reachable coupled space, attitude-constrained coupled space, and free coupled space were defined. However, the coupling for the base’s velocities was decomposed into joint-to-base rotation, joint-to-base translation, end-to-base rotation, and end-to-base translation coupling types. The dependence of the rotation and translation coupling was revealed, and the coupling factors were determined to measure the coupling degree. Then, the coupling effect for different loads, installation positions, and joint configurations was analyzed. Coupled maps were established to plan the trajectory for minimizing disturbance. Compared with previous works, dynamic coupling at the position level avoids the singularity problem for solving differential equations; at the velocity level, each type of coupling motion was separately modeled and analyzed for different requirements. The proposed method is useful for practicalapplications, such as designing a new manipulator or using an existing robotic system.

101 citations

Journal ArticleDOI
TL;DR: A new algorithm is described that detects a set of feature points on the boundary of an 8-connected shape that constitute the vertices of a polygonal approximation of the shape itself, and the polygon obtained by linking the detected nodes approximates the contour in an intuitive way.

100 citations

Proceedings ArticleDOI
19 May 2008
TL;DR: An improved iterative algorithm for computing the generalized centroid of an interval type-2 fuzzy set is presented, which is faster than the enhanced Karnik-Mendel algorithm when running over a common computing platform.
Abstract: This paper presents an improved iterative algorithm for computing the generalized centroid of an interval type-2 fuzzy set. The properties of the discrete centroid function provide a stop condition that speeds up the original algorithm. Experimental evidence observed from three cases of study reveals that the improved algorithm is faster than the enhanced Karnik-Mendel algorithm when running over a common computing platform.

99 citations

Patent
27 Mar 1986
TL;DR: In this paper, a dual-mode video tracker is employed with a correlation processor and a centroid processor for processing incoming video signals representing the target scene and for generating tracking error signals over an entire video frame.
Abstract: Point and area target tracking are employed by a dual mode video tracker which includes both a correlation processor (30) and a centroid processor (32) for processing incoming video signals representing the target scene (20) and for generating tracking error signals over an entire video frame. A microcomputer (26) controls the operation of the correlation and centroid processors, as well as a preprocessor (28) which preconditions the incoming video signals. The tracker operates in any of several modes in which the correlation and centroid processors function either independently or cooperatively with each other. The correlation processor generates a reference map in pixel format which is used to produce azimuth and elevation optimal weighting values for each pixel in the field-of-view. The reference map is recursively updated. The track gate for the correlation processor is automatically sized using a gradient function derived from the optimal weighting values. The gradient function is also employed along with difference video to determine correlation tracking status. The correlation and centroid tracking errors may be combined to form a composite signal defining a true complementary function.

99 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
2023492
20221,001
2021184
2020202
2019269
2018271