Title :
Reconstruction of 2-D signals from nonuniform samples in polar coordinates
Author_Institution :
Dept. of Electron. Comput. Eng., Illinois Inst. of Technol., Chicago, IL
Abstract :
The reconstruction of a bandlimited two-dimensional signal from a set of nonuniform samples is discussed. It is proved that Lagrange interpolation is possible in polar coordinates under a more general setup than that of H. Stark (J. Opt. Soc. Am., vol.69, p.1519-25, Nov. 1979), i.e. the nonuniform samples are on nonuniformly samples lie on radial lines and the rotational distances of radial lines are nonuniformly spaced. The nonuniform samples need not be limited to zeros of Bessel functions
Keywords :
interpolation; signal processing; 2D signals reconstruction; Lagrange interpolation; bandlimited two-dimensional signal; nonuniform samples; polar coordinates; Equations; Fourier series; Interpolation; Lagrangian functions; Multidimensional systems; Nonuniform sampling; Optimized production technology; Polynomials; Sampling methods; Sufficient conditions;
Conference_Titel :
Circuits and Systems, 1989., IEEE International Symposium on
Conference_Location :
Portland, OR
DOI :
10.1109/ISCAS.1989.100642
