We describe algorithms for multi{image structure from motion from tracked point features. The algorithms are essentially linear, work for any motion of moderate size, and give accuracies similar to those of a maximum{likelihood estimate. They are as fast as the Sturm/Triggs approach and give better results. We show experimentally that the Sturm/Triggs approach often fails for linear camera moti...

We solve the inverse spectral problems for the class of Sturm–Liouville operators with singular real-valued potentials from the Sobolev space W s−1 2 (0, 1), s ∈ [0, 1]. The potential is recovered from two spectra or from the spectrum and norming constants. Necessary and sufficient conditions on the spectral data to correspond to the potential in W s−1 2 (0, 1) are established.

The spectral properties of Jacobi and periodic Jacobi matrices are analyzed and algorithms for the construction of Jacobi and periodic Jacobi matrices with prescribed spectra are presented. Numerical evidence demonstrates that these algorithms are of practical utility. These algorithms have been used in studies of the periodic Toda lattice, and might also be used in studies of inverse eigenvalu...

Article history: Received 10 December 2010 Available online 18 February 2011 Submitted by Steven G. Krantz