Summary: 4 th World Congress on Industrial Process Tomography, Aizu, Japan
A boundary element approach for real­time monitoring and control from
electrical resistance tomographic data
Robert G Aykroyd 1 , Brian A Cattle 2 and Robert M West 3
1 Department of Statistics, University of Leeds, Leeds, LS2 9JT, UK, robert@maths.leeds.ac.uk,
2 Department of Applied Mathematics, University of Leeds, Leeds, LS2 9JT, UK, and
3 Nuffield Institute for Health, University of Leeds, Leeds, LS2 9JT, UK
ABSTRACT
Electrical tomography techniques provide the potential for a cheap and non­invasive approach to the
monitoring and control of dynamic industrial processes. The predominant approach to the analysis of
tomographic data is based on domain discretisation, leading to ill­posed inverse problems. Stable solution
then requires substantial regularization which can mask features of interest. Although image reconstruction is
useful for process visualization, for automatic control such an image is unnecessary, and will require further
post­processing to allow control parameters to be obtained. However, reliable information cannot be
obtained by post­processing poor images. For process monitoring, estimation of geometric parameters is
more appropriate than visualization. These parameters can then be directly used for process control and
thus avoiding the need for post­processing. This motivates the move to high­level geometric models which
also make computational algorithms much more efficient. In addition, the boundary element method (BEM)
proves to be an excellent alternative to the finite element method (FEM) for piecewise homogeneous
examples, even making the real­time monitoring of processes feasible. This paper investigates the use of the

Source: Aykroyd, Robert G. - Department of Statistics, University of Leeds

Collections: Mathematics