Image Processing Reference
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and the range, it cannot be used as a precise characterization. Similarly, the term
multivariate should be avoided in a general discussion of multifields, because its
meaning depends on the discipline. In statistics it refers to the dimension of the
range and in other branches of mathematics to the dimension of the domain.
Multi-value data are a more difficult case. If there is only a bounded number
of values that a point in space-time can have, the data could be represented as a
multifield, although an artificial ordering of the values is introduced this way. If the
data per point in space-time can be arbitrary sets, then such data cannot be expressed
by multifields.
Multiphysics refers to simulations involving multiple physical models such as
magnetohydrodynamics, fluid structure interaction, or fluid flow combined with
chemical reactions. Multiphysics simulations are a source of multifield datasets
containing an even larger number of components than are obtained from CFD
simulations.
References
1. Johnson, C., Brederson, D., Hansen, C., Ikits, M., Kindlmann, G., Livnat, Y., Parker, S.,
Weinstein, D., Whitaker, R.: Computational field visualization. In: Mathematics Unlimited—
2001 and Beyond, pp. 605-630. Springer, Berlin (2001)
2. Obermaier, H.: Multi-field visualization. Ph.D. thesis, TU Kaiserslautern (2011)
 
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