Globally Smooth Land Form Reconstruction from Irregularly Located Height Data

Image recovery from irregularly located spectral samples

Recovery of magnetic resonance images from irregular sampling sets is investigated from the point of view of moment discretization of the Fredholm equation of the first kind. The limited spatial extent of the object is known a priori and the sampling schemes considered each have mean density lower than that imposed by the Nyquist limit. The recovery formula obtained has the same form as a stand...

Image Reconstruction from Incomplete Data

Image Reconstruction from Incomplete Data

Reconstruction of Smooth Functions from Incomplete Data

In many situations, one is confronted with the problem of trying to reconstruct an unknown continuous function from a finite set of data points or measurements where some of this data is incorrect, missing, or unreliable. If a contiguous set of data points is missing, the problem of reconstruction is highly ill-posed with an infinite dimensional solution set. However, if more information about ...

Bio-inspired, Invariant Image Reconstruction from Irregularly Placed Samples

We present in this paper an algorithm inspired by the human visual system to reconstruct images from irregularly placed samples. This algorithm is based on linear spline approximations with control points on a hexagonal grid. Several spline approximations are computed for different transformations of the control point grid (e.g. translations and rotations). These approximations are then merged ...