By the same authors

From the same journal

From the same journal

Height-from-Polarisation with Unknown Lighting or Albedo

Research output: Contribution to journalArticlepeer-review

Full text download(s)

Published copy (DOI)

Author(s)

Department/unit(s)

Publication details

JournalIEEE Transactions on Pattern Analysis and Machine Intelligence
DateAccepted/In press - 26 Aug 2018
DateE-pub ahead of print - 6 Sep 2018
DatePublished (current) - 1 Dec 2019
Issue number12
Volume41
Number of pages14
Pages (from-to)2875 - 2888
Early online date6/09/18
Original languageEnglish

Abstract

We present a method for estimating surface height directly from a single polarisation image simply by solving a large, sparse system of linear equations. To do so, we show how to express polarisation constraints as equations that are linear in the unknown height. The local ambiguity in the surface normal azimuth angle is resolved globally when the optimal surface height is reconstructed. Our method is applicable to dielectric objects exhibiting diffuse and specular reflectance, though lighting and albedo must be known. We relax this requirement by showing that either spatially varying albedo or illumination can be estimated from the polarisation image alone using nonlinear methods. In the case of illumination, the estimate can only be made up to a binary ambiguity which we show is a generalised Bas-relief transformation corresponding to the convex/concave ambiguity. We believe that our method is the first passive, monocular shape-from-x technique that enables well-posed height estimation with only a single, uncalibrated illumination condition. We present results on real world data, including in uncontrolled, outdoor illumination.

Bibliographical note

This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details.

    Research areas

  • Azimuth, Bas-relief ambiguity, Estimation, Light sources, Lighting, Refractive index, Shape, Surface reconstruction, albedo estimation, illumination estimation, polarisation, shape-from-x

Projects

Discover related content

Find related publications, people, projects, datasets and more using interactive charts.

View graph of relations