3D measurement by estimating Homogeneous Light Transport (HLT) Matrix

Naoya Chiba, Koichi Hashimoto

Research output: Chapter in Book/Report/Conference proceedingConference contribution

10 Citations (Scopus)

Abstract

We introduce Homogeneous Light Transport (HLT) Matrix for efficient 3D measurements. Which is an extension of the Light Transport (LT) matrix. The LT Matrix is a model of light transportation between a projector and a camera. It describes weights for all combinations of the projector pixels and the camera pixels. The HLT Matrix includes background lights information with LT Matrix. By using the HLT Matrix, we can estimate LT Matrix without backgrounds measurement. In the traditional methods, it is assumed that the light ray reflects only once in the scene. However, in the actual scenes, it may reflect multiple times due to specular reflections or subsurface scatterings; thus 3D measurement may become difficult in some cases. The LT Matrix can express multiple times reflection. In this paper, we demonstrate that 3D points can be measured by using '1-pixel projection' and considering the epipolar geometry, for measurement targets which are difficult to measure by traditional methods. This measurement is the same as the measurement using the LT Matrix approach. We use a compressive sensing method for estimation to reduce the number of projection and capture.

Original languageEnglish
Title of host publication2017 IEEE International Conference on Mechatronics and Automation, ICMA 2017
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1763-1768
Number of pages6
ISBN (Electronic)9781509067572
DOIs
Publication statusPublished - 2017 Aug 23
Event14th IEEE International Conference on Mechatronics and Automation, ICMA 2017 - Takamatsu, Japan
Duration: 2017 Aug 62017 Aug 9

Publication series

Name2017 IEEE International Conference on Mechatronics and Automation, ICMA 2017

Other

Other14th IEEE International Conference on Mechatronics and Automation, ICMA 2017
Country/TerritoryJapan
CityTakamatsu
Period17/8/617/8/9

Keywords

  • 3D Measurement
  • Compressive Sensing
  • Homogeneous Light Transport Matrix
  • Projector-Camera System

ASJC Scopus subject areas

  • Control and Optimization
  • Instrumentation
  • Artificial Intelligence
  • Industrial and Manufacturing Engineering
  • Mechanical Engineering

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