Method of counting particles using degree of membership in clustering data points into subgroups
First Claim
1. A particle counting method comprising:
- passing plural kinds of particles substantially one at a time through a narrow path;
measuring values of at least two kinds of characteristics of each particle in said narrow path;
preparing a scattergram of at least two dimensions using said values as parameters thereof;
partitioning said particles in said scattergram into clusters of said plural kinds;
defining a fixed domain for each cluster of said scattergram so that all of the particles within said domain belong to said cluster without exception and assigning a membership value of one to all particles within said domain;
calculating an initial center of gravity of each cluster based upon the spatial distribution of the particles throughout said cluster;
calculating a distance from said particle distributed outside each said fixed domain in said scattergram to the initial center of gravity of said cluster and calculating the membership value of said particle to each cluster based upon said distance;
correcting said initial center of gravity of each cluster in consideration of the value of membership of each particle distributed outside said fixed domains to each cluster;
calculating an estimated number of particles belonging to each cluster based upon the value of membership of each particle in said scattergram to each cluster.
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Abstract
A method of seeking the number of particles of each kind in a group of particles in which plural kinds of particles are intermixed, by measuring, for example, two kinds of properties of each particle by a suitable method or device, plotting each particle on a rectangular coordinate system using the measured properties as its X and Y co-ordinates to obtain a distribution diagram, drafting boundaries to partition the distribution into clusters of the respective kinds and counting the number of particles within the boundary of each cluster, which, especially, even when the clusters of the respective particles are mutually overlapping, can reduce any deviation of the count of particles from its true value as small as possible by defining an optimum boundary. In this method, a center of gravity of each cluster is determined, a degree of attribution of each particle to each cluster is calculated based upon a distance of each particle from the center of gravity and the number of particles belonging to each cluster is counted in consideration of the degree of attribution.
34 Citations
7 Claims
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1. A particle counting method comprising:
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passing plural kinds of particles substantially one at a time through a narrow path; measuring values of at least two kinds of characteristics of each particle in said narrow path; preparing a scattergram of at least two dimensions using said values as parameters thereof; partitioning said particles in said scattergram into clusters of said plural kinds; defining a fixed domain for each cluster of said scattergram so that all of the particles within said domain belong to said cluster without exception and assigning a membership value of one to all particles within said domain; calculating an initial center of gravity of each cluster based upon the spatial distribution of the particles throughout said cluster; calculating a distance from said particle distributed outside each said fixed domain in said scattergram to the initial center of gravity of said cluster and calculating the membership value of said particle to each cluster based upon said distance; correcting said initial center of gravity of each cluster in consideration of the value of membership of each particle distributed outside said fixed domains to each cluster; calculating an estimated number of particles belonging to each cluster based upon the value of membership of each particle in said scattergram to each cluster. - View Dependent Claims (2, 3, 4, 5, 6, 7)
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Specification