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Estimating crystal growth rates using computed tomography

Estimating crystal growth rates using computed tomography
Estimating crystal growth rates using computed tomography
It has been observed that sugar crystals growing in solution exhibit Growth Rate Dispersion, that is, variation in growth rate from one crystal to the next. We consider the problem of estimating the distribution of growth rates in batch grown crystals, given only samples of their sizes at a number of fixed points in time. The problem can be expressed as a tomographic image reconstruction problem, in which we try to reconstruct the joint density of initial size and growth, from a set of marginal densities obtained by integrating the joint density in a number of different directions.
0266-5611
1477-1485
Jones, O.D.
d5046a34-1cd1-4404-95be-39fa10adc806
White, E.T.
955a37df-d11a-4496-baec-47c2236841a6
Butler, B.K.
67304a8e-a452-4ead-b35b-baf2db84aa5d
Jones, O.D.
d5046a34-1cd1-4404-95be-39fa10adc806
White, E.T.
955a37df-d11a-4496-baec-47c2236841a6
Butler, B.K.
67304a8e-a452-4ead-b35b-baf2db84aa5d

Jones, O.D., White, E.T. and Butler, B.K. (2000) Estimating crystal growth rates using computed tomography. Inverse Problems, 16 (5), 1477-1485. (doi:10.1088/0266-5611/16/5/320).

Record type: Article

Abstract

It has been observed that sugar crystals growing in solution exhibit Growth Rate Dispersion, that is, variation in growth rate from one crystal to the next. We consider the problem of estimating the distribution of growth rates in batch grown crystals, given only samples of their sizes at a number of fixed points in time. The problem can be expressed as a tomographic image reconstruction problem, in which we try to reconstruct the joint density of initial size and growth, from a set of marginal densities obtained by integrating the joint density in a number of different directions.

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Published date: 2000
Organisations: Operational Research

Identifiers

Local EPrints ID: 29684
URI: http://eprints.soton.ac.uk/id/eprint/29684
ISSN: 0266-5611
PURE UUID: 2ef1c2b6-7fc0-4f9d-9791-d636fecb4d5b

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Date deposited: 19 Jul 2006
Last modified: 15 Mar 2024 07:33

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Contributors

Author: O.D. Jones
Author: E.T. White
Author: B.K. Butler

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