Digital camera calibration analysis using perspective projection matrix

  • Authors:
  • Barranco Gutiérrez Alejandro Israel;José De Jesús Medel Juárez

  • Affiliations:
  • Applied Science and Advanced Technologies Research Center, National Polytechnic Institute, México D.F., Mexico;Applied Science and Advanced Technologies Research Center, National Polytechnic Institute, México D.F., Mexico and Computer Research Center

  • Venue:
  • ISPRA'09 Proceedings of the 8th WSEAS international conference on Signal processing, robotics and automation
  • Year:
  • 2009

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Abstract

This work presents a novel and simplified technique to estimate the perspective projective matrix elements of calibration matrix for pinhole model in Digital Camera Calibration. The "perspective projective matrix parameters" are variables depending of environmental changes and position and/or orientation camera so we propose a dynamical and stochastic method to model the uncertain in the parameters estimation. It is well suited for use without specialized knowledge of 3D geometry or computer vision. Two morphological matrix operations are introduced: Central(Xk, Yk) and Column(Mk) to generalize the process which obtain the estimated parameters based on pseudo-inverse calculus without consider measures errors, this calibration procedure focus only on perspective projective matrix elements. The mean value respect to 3D points and 2D points used as input information. The theoretical results give a good enough approximation result considering the pseudo-inverse matrix calculus method. In the same sense, the experimental results showed a satisfactory advance in the parameters stochastic estimation theory, respect to velocity change gains.