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Journal Articles Journal of Mathematical Imaging and Vision Year : 2021

A bisector line field approach to interpolation of orientation fields

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Abstract

We propose an approach to the problem of global reconstruction of an orientation field. The method is based on a geometric model called "bisector line fields", which maps a pair of vector fields to an orientation field, effectively generalizing the notion of doubling phase vector fields. Endowed with a well chosen energy minimization problem, we provide a polynomial interpolation of a target orientation field while bypassing the doubling phase step. The procedure is then illustrated with examples from fingerprint analysis.
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Dates and versions

hal-02193102 , version 1 (25-07-2019)
hal-02193102 , version 2 (28-08-2019)
hal-02193102 , version 3 (17-04-2020)
hal-02193102 , version 4 (18-09-2020)

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Cite

Nicolas Boizot, Ludovic Sacchelli. A bisector line field approach to interpolation of orientation fields. Journal of Mathematical Imaging and Vision, 2021, 63, pp.18-29. ⟨10.1007/s10851-020-00990-5⟩. ⟨hal-02193102v4⟩
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