Abstract
The Appendix contains a detailed discussion of selected mathematical aspects that are necessary for many of the methods presented in this book. In its three sections Markov random fields and their optimization, a derivation of the solution of a variational problem for a function of a single variable and a description of the principal component analysis including a solution that is robust with respect to outliers in the sample are presented.
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Notes
- 1.
Partial integration of an integral of the kind ∫ a..b f′g uses the multiplication rule from differentiation to arrive at ∫ a..b f′g=[fg] a..b −∫ a..b fg′. In the case above f′:=δ′ and g:=∂F/∂f′.
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Toennies, K.D. (2012). Appendix. In: Guide to Medical Image Analysis. Advances in Computer Vision and Pattern Recognition. Springer, London. https://doi.org/10.1007/978-1-4471-2751-2_14
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DOI: https://doi.org/10.1007/978-1-4471-2751-2_14
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