Particle shape characterization from 2D images

Image analysis – Pattern recognition – Feature extraction

Reexamination Certificate

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C382S133000, C382S204000, C382S224000, C382S285000

Reexamination Certificate

active

07430322

ABSTRACT:
The size distributions corresponding to the three-dimensional (3D) shapes of particles are estimated from a 3D-to-2D projection matrix and a two-dimensional (2D) image of the particles that is obtained using TEM. Two different methods to generate a 3D-to-2D projection matrix are described. The first method determines the matrix coefficients assuming equal probability for all high-symmetry projections. The second method employs a large set of 3D-to-2D projection matrices with randomly generated coefficients satisfying the high-symmetry projection constraint. The second method is a general method to determine 3D-to-2D projection matrices based on the assumption that certain high-symmetry projections are present for the system under investigation.

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