Abstract
We assume that the reader of this thesis has a sound understanding of digital image processing methods. Some good textbooks about digital image processing are e.g. [45, 56, 131]. The purpose of this chapter is to provide the reader with additional basics that are needed for the understanding of this thesis.
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Notes
- 1.
The second possibility would be a saddle point.
- 2.
Please note that the reverse definition is also widespread, i.e. positive distances are used for elements inside the closed curve and negative distances are used for elements outside the curve, respectively. However, the derivations from the following sections are based on the first mentioned definition.
- 3.
Appropriate means for example that the remaining elements have to move in a way such that the level set function remains the signed distance function [115]. We will come back to this point in Sect. 1.4.3.
- 4.
The operator ‘\(*\)’ in Eq. (1.46) denotes a convolution.
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Last, C. (2017). Basics. In: From Global to Local Statistical Shape Priors. Studies in Systems, Decision and Control, vol 98. Springer, Cham. https://doi.org/10.1007/978-3-319-53508-1_1
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DOI: https://doi.org/10.1007/978-3-319-53508-1_1
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