Garboczi, E.
and Bullard, J.
(2016),
3D analytical mathematical models of random star-shape particles via a combination of X-ray computed microtomography and spherical harmonic analysis, Springer, Hamburg, -1
(Accessed October 2, 2025)
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3D analytical mathematical models of random star-shape particles via a combination of X-ray computed microtomography and spherical harmonic analysis
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Abstract
To compute light scattering or any other quantity for a random particle, one needs to mathematically know the shape of the particle. For regular particles like spheres and ellipsoids, this is straightforward to do. For random particles, with realistic shapes, this has not been able to be done. Since about 2000, a method has been developed that combines X-ray computed tomography and spherical harmonic analysis to give analytical, differentiable mathematic functions for the three-dimensional shape of star shape particles, which are a wide class of particles. This chapter describes how this is done, in some detail, and then gives examples of applications where this method has been used.Citation
Particle Shape Models
Publisher Info
Springer, Hamburg, -1
Pub Type
Books
Keywords
particles, spherical harmonics, shape, three dimensional, X-ray tomography, characterization
Citation
Issues
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Created October 27, 2016, Updated September 19, 2017