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Numerical Analysis of Nonlinear Equations in Computer Vision and Robotics

  • Layne T. Watson
Conference paper
Part of the NATO ASI Series book series (volume 70)

Abstract

The need to apply sophisticated numerical analysis algorithms to computer vision and robotics problems is urgent, and these fields provide unique challenges different from the engineering problems normally encountered by numerical analysts. The opportunities for crossfertilization are vast; within computer vision, facet modelling, surface approximation, three-dimensional object recognition, and range data analysis require splines, generalized polynomials, classical approximation theory, approximation in various norms, robust statistics, and fixed point theory. Fundamental vision problems such as shape from shading, structure from motion, consistent labelling, and surface segmentation involve nonlinear equations, nonlinear optimization, quasi-Newton and homotopy algorithms Robot control, kinematics, and planning problems involve. modern differential and algebraic geometry, modern control theory, computational geometry, and homotopy theory.

Keywords

Polynomial System Homotopy Theory Pulse Code Modulation Differential Pulse Code Modulation Modern Control Theory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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Copyright information

© Springer-Verlag Berlin Heidelberg 1991

Authors and Affiliations

  • Layne T. Watson
    • 1
  1. 1.Spatial Data Analysis LaboratoryVirginia Polytechnic Institute & State UniversityBlacksburgUSA

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