Machine Vision and Applications

, Volume 27, Issue 4, pp 483–497

A photometric sampling method for facial shape recovery

Original Paper


The authors propose a photometric method to recover facial shape that is consistent with expected facial proportions. The method borrows ideas from photometric sampling, a technique that estimates shape from continuous variations of a light source around a single circular path. This approach aims at enriching photometric information by including variations of the light source along its zenith angle. To this end, a luminance matrix describing lighting response along both azimuth and zenith angles of the light source is built for each pixel. A method based on fitting sine functions onto the singular vectors of the collected luminance matrices is proposed for estimating a surface normal map. The estimated surface normals are later refined to maximize a facial proportion criterion and finally be integrated. Experiments demonstrate that our approach successfully approximates 3D face shape while preserving facial proportions within the limits of expected depth.


Photometric sampling Face analysis 3D shape recovery 

Copyright information

© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.Robótica y Manufactura AvanzadaCentro de Investigación y de Estudios Avanzados del Instituto Politécnico NacionalRamos ArizpeMexico

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