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Part of the book series: Applied Mathematical Sciences ((AMS,volume 155))

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Abstract

We are interested in discrete energy models only. The methodology was given in Chapter 7. We must now go into more depth to obtain a method that is practical for use in real applications. In this chapter, we introduce model-building using a concrete example that will illustrate the methodology. This example is relevant to both Part I and Part II. It involves a representation using discretized regular curves, but in a more complicated situation than the classic case of smoothing with nonparametric spline functions. The purpose is to estimate a family of regular curves of unknown number and length that will link sparse variably shaped “spots” distributed in a sequence of images.

There is a goal, but no path; that which we call a path is hesitation.

Franz Kafka

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© 2003 Springer-Verlag New York, Inc.

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Chalmond, B. (2003). Model-Building. In: Modeling and Inverse Problems in Imaging Analysis. Applied Mathematical Sciences, vol 155. Springer, New York, NY. https://doi.org/10.1007/978-0-387-21662-1_9

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  • DOI: https://doi.org/10.1007/978-0-387-21662-1_9

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4419-3049-1

  • Online ISBN: 978-0-387-21662-1

  • eBook Packages: Springer Book Archive

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