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Ornament Analysis with the Help of Screened Poisson Shape Fields

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Perspectives in Shape Analysis

Part of the book series: Mathematics and Visualization ((MATHVISUAL))

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Abstract

In this chapter, some thought-provoking application problems in Ornament Analysis are examined. Fields constructed via Screened Poisson Equation are used as intermediate level representations towards developing solutions. In the considered problems, the fields serve to a variety of purposes – i.e., to embed critical point detection process into a suitable morphological scale space, to regularise an ill-posed search problem, and finally to integrate features in a context – extending the visual functions of the Screened Poisson Equation based shape fields.

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Acknowledgements

I thank the reviewers for their meticulous reading and supportive feedback. The work reported in the second half of this chapter is partially funded by TUBITAK grants 112E208 and 114E204.

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Correspondence to Sibel Tari .

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Tari, S. (2016). Ornament Analysis with the Help of Screened Poisson Shape Fields. In: Breuß, M., Bruckstein, A., Maragos, P., Wuhrer, S. (eds) Perspectives in Shape Analysis. Mathematics and Visualization. Springer, Cham. https://doi.org/10.1007/978-3-319-24726-7_1

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