Variational Reconstruction of Vector and Scalar Images from Non-Uniform Samples

@inproceedings{Arigovindan2005VariationalRO,
  title={Variational Reconstruction of Vector and Scalar Images from Non-Uniform Samples},
  author={Muthuvel Arigovindan},
  year={2005}
}
We address the problem of reconstructing scalar and vector functions from non-uniform data. The reconstruction problem is formulated as a minimization problem where the cost is a weighted sum of two terms. The first data term is the quadratic measure of goodness of fit, whereas the second regularization term is a smoothness functional. We concentrate on the case where the later is a semi-norm involving differential operators. We are interested in a solution that is invariant with respect to… CONTINUE READING

Citations

Publications citing this paper.
Showing 1-10 of 12 extracted citations

References

Publications referenced by this paper.
Showing 1-10 of 77 references

A vector spline approximation

  • L. Amodei, M. Benbourhim
  • Journal of Approximation Theory, vol. 67, pp. 51…
  • 1991
Highly Influential
8 Excerpts

Splines minimizing rotation-invariant semi-norms in sobolev spaces

  • J. Duchon
  • Constructive Theory of Functions of Several…
  • 1977
Highly Influential
5 Excerpts

Vector interpolation using radial-basis-like functions

  • F. Dodu, C. Rabut
  • Computers and Mathematics with Applications, vol…
  • 2002
Highly Influential
6 Excerpts

Tomographic reconstruction of 2D vector fields: Application for flow imaging

  • S. Norton
  • Geophysical Journal, vol. 97, pp. 161–168, 1988.
  • 1988
Highly Influential
4 Excerpts

Similar Papers

Loading similar papers…