A Global Algorithm for Geodesics

  title={A Global Algorithm for Geodesics},
  author={Lyle Noakes},
The problem of finding a geodesic joining given points x0; x1 in a connected complete Riemannian manifold requires much more effort than determining a geodesic from initial data. Boundary value problems of this type are sometimes solved using shooting methods, which work best when good initial guesses are available, especially when x0; x1 are nearby. Galerkin methods have their drawbacks too. The situation is much more difficult with general variational problems, which is why we focus on the… CONTINUE READING
Highly Cited
This paper has 27 citations. REVIEW CITATIONS

From This Paper

Topics from this paper.
13 Citations
15 References
Similar Papers


Publications citing this paper.
Showing 1-10 of 13 extracted citations


Publications referenced by this paper.
Showing 1-10 of 15 references

Two new techniques for optimal control

  • Z.-Q. Zuo
  • IEEE Trans. Autom. Control
  • 1991
Highly Influential
3 Excerpts

On a measure of dissimilarity for normal probability densities

  • C. A. Micchelli
  • preprint, IBM Yorktown Heights,
  • 1996
1 Excerpt

A unified computational approach to solving optimal control problems(Longman

  • K. L. Teo, C. J. Goh, K. H. Wong
  • Scientific & Technical,
  • 1991
1 Excerpt

Convex regions in the geometry of paths ’ , Quart

  • J. H. C. Whitehead
  • J . Math . Oxford
  • 1991

Singular perturbations and interpolation - a problem in robotics

  • P. B. Chapman, J. L. Noakes
  • Nonlinear Anal.16
  • 1991
1 Excerpt

functional analysis and its applications II/B (Springer, Berlin

  • E. Zeidler, Nonlinear
  • 1990

Cubic splines on curved spaces

  • L. Noakes, G. Heinzinger, B. Paden
  • IMA J. Math. Control
  • 1989
1 Excerpt

Terng, Critical point theory and submanifold geometry

  • R. S. Palais, C.-L
  • Lecture Notes in Math. 1353 (Springer, Berlin,
  • 1988
1 Excerpt

Skovgard, ‘A Riemannian geometry of the multivariate normal model

  • L T.
  • Scand. J. Statist
  • 1984
1 Excerpt

Nomizu, Foundations of differential geometry, Volume II (Interscience

  • K. S. Kobayashi
  • New York,
  • 1969

Similar Papers

Loading similar papers…