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.

A simple method of factor analysis

Abstract: A simple method for extracting correlated factors simultaneously is described. The method is based on the idea that the centroid pattern coefficients for the sections of unit rank of the complete matrix may be interpreted as structure values for the entire matrix. Only the routine centroid average process is required.

Head detection using Kinect camera and its application to fall detection

Abstract: This article proposes a head detection algorithm for depth video provided by a Kinect camera and its application to fall detection. The proposed algorithm first detects possible head positions and then based on these positions, recognizes people by detecting the head and the shoulders. Searching for head positions is rapid because we only look for the head contour on the human outer contour. The human recognition is a modification of HOG (Histogram of Oriented Gradient) for the head and the shoulders. Compared with the original HOG, our algorithm is more robust to human articulation and back bending. The fall detection algorithm is based on the speed of the head and the body centroid and their distance to the ground. By using both the body centroid and the head, our algorithm is less affected by the centroid fluctuation. Besides, we also present a simple but effective method to verify the distance from the ground to the head and the centroid.

Method and apparatus for determining the position of a body

Abstract: A system for generating electrical signals relating to the position and orientation of a part supported on a reference surface for use by manipulating devices includes an image converter tube which receives the light information from a test part and the surface. The scanned output of the tube is digitized and provided to a digital unit which isolates data representing the outline of the part in the direction of viewing. The system then calculates the centroid of the outlined area and a signature radius identifying the orientation of distinctive boundary transitions of the part relative to the centroid. Subsequently, similar parts supported on the reference surface are scanned by the video system and the digitized outputs are analyzed to calculate the position of the centroid of these parts relative to a reference location and the angular displacements of the parts relative to the rotational orientation of the test part.

A Robust Method to Measure Centroids of Spectral Lines

Abstract: Measuring the centroid of a spectral line is a common problem in astronomy. Many methods have been devised to overcome limitations due to either noise in the spectra or asymmetric profiles, the most common of which are the intensity weighted averages (first moment) or fits of analytical (typically Gaussian) profiles. If the spectral line can be considered a single component, we demonstrate that a simple quadratic fit to the pixel of maximum intensity and its two neighboring pixels provides a robust measure of the line centroid. This approach allows for a sub-velocity resolution precision on the line centroid, without be biases by noise or asymmetric features in the line profile and outperforming traditional methods in most situations.