Geometric Optimization for Computer Vision

  title={Geometric Optimization for Computer Vision},
  author={Pei Yean Lee},
Drawing ideas from differential geometry and optimization, this thesis presents novel parameterization-based framework to address optimization problems formulated on a differentiable manifold. The framework views the manifold as a collection of local coordinate charts. It involves successive parameterizations of a manifold, carrying out optimization of the local cost function in parameter space and then projecting the optimal vector back to the manifold. Several algorithms based on this… CONTINUE READING
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Publications referenced by this paper.
Showing 1-10 of 83 references

Optimization Criteria and Geometric Algorithms for Motion and Structure Estimation

International Journal of Computer Vision • 2001
View 11 Excerpts
Highly Influenced

Simultaneous Registration of Multiple Corresponding Point Sets

Computer Vision and Image Understanding • 2001
View 5 Excerpts
Highly Influenced

Fast and Globally Convergent Pose Estimation from Video Images

IEEE Trans. Pattern Anal. Mach. Intell. • 2000
View 8 Excerpts
Highly Influenced

Optimization and Dynamical Systems

Proceedings of the IEEE • 1996
View 12 Excerpts
Highly Influenced

Newton-like methods for numerical optimization on manifolds

Conference Record of the Thirty-Eighth Asilomar Conference on Signals, Systems and Computers, 2004. • 2004
View 3 Excerpts
Highly Influenced

The Geometry of Algorithms with Orthogonality Constraints

SIAM J. Matrix Analysis Applications • 1998
View 8 Excerpts
Highly Influenced

Object modelling by registration of multiple range images

Image Vision Comput. • 1992
View 4 Excerpts
Highly Influenced

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