Sciweavers

Share
ICIP
1998
IEEE

Generalized Hermite Polynomials for Image Reconstruction from Zero Crossing Contours

11 years 5 months ago
Generalized Hermite Polynomials for Image Reconstruction from Zero Crossing Contours
Generalized Hermite polynomials in two variables are employed for the reconstruction of images from a knowledge of their zero crossing contours. The problem of reconstruction of signals as functions of two variables is not a mere extension of that of a single variable. This is a consequence of the fact that the spatial and spectral characteristics of two-variable functions are quite distinct from what one can expect from their separate projections on to the coordinate axes. One of the results of the paper is that we cannot guarantee uniqueness in reconstruction unless we impose certain constraints on, for instance, space-bandwidth products/ratios in the x - wz,?) - wy directions, of the unknown image. Arther, a distinguishing feature of the proposed approach is that the standard assumption of bandlimitedness is not invoked. The proposed framework is believed to provide a more unified procedure for signal reconstruction (of una- and multi-dimensional signals) from partial information t...
Y. V. Venkatesh
Added 26 Oct 2009
Updated 26 Oct 2009
Type Conference
Year 1998
Where ICIP
Authors Y. V. Venkatesh
Comments (0)
books