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3D Surface Reconstruction Using Structured Circular Light Patterns

  • Deokwoo Lee
  • Hamid Krim
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6474)

Abstract

Reconstructing a 3D surface in ℝ3 from a 2D image in ℝ2 has been a widely studied issue as well as one of the most important problems in image processing. In this paper, we propose a novel approach to reconstructing 3D coordinates of a surface from a 2D image taken by a camera using projected circular light patterns. Known information (i.e. intrinsic and extrinsic parameters of the camera, the structure of the circular patterns, a fixed optical center of the camera and the location of the reference plane of the surface) provides a mathematical model for surface reconstruction. The reconstruction is based on a geometrical relationship between a given pattern projected onto a 3D surface and a pattern captured in a 2D image plane from a viewpoint. This paper chiefly deals with a mathematical proof of concept for the reconstruction problem.

Keywords

3D reconstruction Structured light system Circular light pattern Geometrical relationship 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Deokwoo Lee
    • 1
  • Hamid Krim
    • 1
  1. 1.Department of Electrical and Computer EngineeringNorth Carolina State UniversityRaleighUSA

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