3-D localization and imaging of dense arrays of particles
First Claim
1. A method for detecting the number and/or location of particles, the method comprising:
- imaging a plurality of particles using an imaging system having a point spread function, wherein the imaging returns an image;
estimating a plurality of point spread function dictionary coefficients of the image using a point spread function dictionary, wherein the point spread function dictionary includes a plurality of point spread function responses that each correspond with a different particle position; and
determining the number and/or location of the particles in the image from the point spread function dictionary coefficients.
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Abstract
Systems, methods, and computer program products are disclosed to localize and/or image a dense array of particles. In some embodiments, a plurality of particles may be imaged using an imaging device. A plurality of point spread function dictionary coefficients of the image may be estimated using a point spread function dictionary; where the point spread function dictionary can include a plurality of spread function responses corresponding to different particle positions. From the point spread function dictionary coefficients the number of particles in the image can be determined. Moreover location of each particle in the image can be determined from the point spread function dictionary coefficients.
67 Citations
24 Claims
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1. A method for detecting the number and/or location of particles, the method comprising:
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imaging a plurality of particles using an imaging system having a point spread function, wherein the imaging returns an image; estimating a plurality of point spread function dictionary coefficients of the image using a point spread function dictionary, wherein the point spread function dictionary includes a plurality of point spread function responses that each correspond with a different particle position; and determining the number and/or location of the particles in the image from the point spread function dictionary coefficients. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14)
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15. An imaging system comprising:
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a plurality of optical elements configured to image a plurality of objects, wherein the optical elements generate a point spread function, and wherein the point spread function changes as a function of the axial location of the plurality of objects; an imager configured to image the plurality of objects located onto an image plane; a memory including a point spread function dictionary that includes a plurality of point spread function responses that each correspond with a different position of an object; and a processor configured to estimate a plurality of point spread function dictionary coefficients of an image of the plurality of objects using the point spread function dictionary and determine the number and/or position of objects in the image using the point spread function dictionary coefficients. - View Dependent Claims (16, 17, 18, 19, 20, 21)
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22. A method for detecting particles comprising:
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imaging a plurality of particles using a first point spread function that changes as a function of the axial location of a particle, wherein the imaging returns an image; estimating a first plurality of point spread function dictionary coefficients of the image using a Matching Pursuit algorithm with a point spread function dictionary that includes a plurality of point spread function responses corresponding to a different particle position; determining a first region within which the particles are located in the image from the first plurality of point spread function dictionary coefficients; estimating a second plurality of point spread function dictionary coefficients of the image using a Convex Optimization algorithm with a second point spread function dictionary that includes a plurality of point spread function responses corresponding to different particle position; and determining a location of the particles in the image from the second plurality of coefficients. - View Dependent Claims (23, 24)
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Specification