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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01 Jan 2016
TL;DR: Experimental results demonstrated the effectiveness of the proposed approach for shape recognition with high accuracy, and Probabilistic Neural Network was used to classify the leaf shape.
Abstract: This research recognizes the leaf shape using Centroid Contour Distance (CCD) as shape descriptor. CCD is an algorithm of shape representation contour-based approach which only exploits boundary information. CCD calculates the distance between the midpoint and the points on the edge corresponding to interval angle. Leaf shapes that included in this study are ellips, cordate, ovate, and lanceolate. We analyzed 200 leaf images of tropical plant. Each class consists of 50 images. The best accuracy is obtained by 96.67%. We used Probabilistic Neural Network to classify the leaf shape. Experimental results demonstrated the effectiveness of the proposed approach for shape recognition with high accuracy.
21 citations
Patent•
06 Jul 1993
TL;DR: In this paper, a clustering and assignment processor (40) for correlating set (12) of two-dimensional data points (14) is proposed, where each data point is treated as a mass subject to gravitational attraction by other data points, and the data points are allowed to move in data space until all data points in particular regions (16) of the data set(12) fall into a single point or centroid (18).
Abstract: A clustering and assignment processor (40) for correlating set (12) of two-dimensional data points (14). Clustering is performed by treating each data point (14) as a mass subject to gravitational attraction by other data points (14). The data points (14) are permitted to move in data space until all data points (14) in particular regions (16) of the data set (12) fall into a single point, or centroid (18). Individual data points (14) and correlated regions (16) of successive data sets (12) are then correlated by means of a resonant descent technique, which determines the distance and direction of individual data points (14) from a chosen data point (108). The processor (40) then matches a pair of two data points (12) with the chosen data point (108) which are equidistant and collinear with the chosen data point (108).
21 citations
TL;DR: In this article, a central limit theorem for the smoothed eigenstate density distribution in large model spaces is used to define the centroid and the width of the energy spectrum as quantities of fundamental importance and give credence to a geometry associated with averages of the product of the operators acting within a model space.
21 citations
TL;DR: In this paper, the centroid of a simplex in space was studied and the relationships among the centroids of the different k-skeletons of the simplex.
21 citations
20 Oct 2003
TL;DR: A new image watermarking scheme which is robust to RST attacks by improving Fourier-Mellin transform based Watermarking (FMW) is proposed and its calculation method is proposed.
Abstract: This paper proposes a new image watermarking scheme which is robust to RST attacks by improving Fourier-Mellin transform based Watermarking (FMW). The proposed scheme reorders and modifies function blocks of FMW for improvement of realization and performance. Unlike FMW, our method uses Log-Polar Map (LPM) in the spatial domain for scaling invariance, while translation invariance is provided by the use of an invariant centroid as the origin of LPM. Invariant centroid is a gravity center of a central area on gray scale image that is invariant although an image is attacked by RST. For this, its calculation method is proposed. Also since LPM includes the property which transforms rotation of Cartesian coordinates system into a cyclic shift, 2-D DFT is performed on the LPM image and the magnitude spectrum extracted to provide a domain that is rotation invariant. The resulting domain, which is invariant to RST, is then used as the watermark-embedding domain. Experimental results demonstrate that the proposed scheme is robust to RST attacks.
21 citations