A bisector line field approach to interpolation of orientation fields

Nicolas Boizot (1) , Ludovic Sacchelli (2)

1 LIS - Laboratoire d'Informatique et des Systèmes (LIS) (Marseille, Toulon)
2 Department of Mathematics [Bethlehem, USA]

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.

Mots clés: polynomial interpolation; Orientation fields; bisector line fields; fingerprint analysis; sin- gularities; singularities; singu- larities

Domaines: Analyse numérique [math.NA]; Vision par ordinateur et reconnaissance de formes [cs.CV]

Nicolas Boizot, Ludovic Sacchelli. A bisector line field approach to interpolation of orientation fields. 2020. ⟨hal-02193102v3⟩