# A bisector line field approach to interpolation of orientation fields

## TL;DR

This paper introduces a geometric approach using bisector line fields for global orientation field reconstruction, enabling polynomial interpolation without doubling phase steps, demonstrated through fingerprint analysis examples.

## Contribution

The paper presents a novel bisector line field method for orientation field interpolation that simplifies the process by avoiding doubling phase, with applications in fingerprint analysis.

## Key findings

- Effective polynomial interpolation of orientation fields.
- Bypasses the doubling phase step in orientation reconstruction.
- Demonstrated success in fingerprint analysis examples.

## 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.