A Theory of Refractive Photo-Light-Path Triangulation

Visesh Chari 1 Peter Sturm 2
1 WILLOW - Models of visual object recognition and scene understanding
DI-ENS - Département d'informatique de l'École normale supérieure, Inria Paris-Rocquencourt, CNRS - Centre National de la Recherche Scientifique : UMR8548
2 STEEP - Sustainability transition, environment, economy and local policy
Inria Grenoble - Rhône-Alpes, LJK - Laboratoire Jean Kuntzmann
Abstract : 3D reconstruction of transparent refractive objects like a plastic bottle is challenging: they lack appearance related visual cues and merely reflect and refract light from the surrounding environment. Amongst several approaches to reconstruct such objects, the seminal work of Light-Path triangulation is highly popular because of its general applicability and analysis of minimal scenarios. A light-path is defined as the piece-wise linear path taken by a ray of light as it passes from source, through the object and into the camera. Transparent refractive objects not only affect the geometric configuration of light-paths but also their radiometric properties. In this paper, we describe a method that combines both geometric and radiometric information to do reconstruction. We show two major consequences of the addition of radiometric cues to the light-path setup. Firstly, we extend the case of scenarios in which reconstruction is plausible while reducing the minimal requirements for a unique reconstruction. This happens as a consequence of the fact that radiometric cues add an additional known variable to the already existing system of equations. Secondly, we present a simple algorithm for reconstruction, owing to the nature of the radiometric cue. We present several synthetic experiments to validate our theories, and show high quality reconstructions in challenging scenarios.
Document type :
Conference papers
Complete list of metadatas

Cited literature [17 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-00880470
Contributor : Peter Sturm <>
Submitted on : Wednesday, November 6, 2013 - 11:10:31 AM
Last modification on : Thursday, February 7, 2019 - 2:42:22 PM
Long-term archiving on : Friday, February 7, 2014 - 5:40:16 AM

File

Chari_A_Theory_of_2013_CVPR_pa...
Publisher files allowed on an open archive

Identifiers

Citation

Visesh Chari, Peter Sturm. A Theory of Refractive Photo-Light-Path Triangulation. CVPR 2013 - IEEE Conference on Computer Vision and Pattern Recognition, Jun 2013, Portland, United States. pp.1438-1445, ⟨10.1109/CVPR.2013.189⟩. ⟨hal-00880470⟩

Share

Metrics

Record views

810

Files downloads

435