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 18, 2025)
Official websites use .gov
A .gov website belongs to an official government organization in the United States.
Secure .gov websites use HTTPS
A lock (
) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.
3D analytical mathematical models of random star-shape particles via a combination of X-ray computed microtomography and spherical harmonic analysis
Published
Author(s)
,
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
If you have any questions about this publication or are having problems accessing it, please contact [email protected].
Created October 27, 2016, Updated September 19, 2017