Patent ID: 8331733

Claim:
A method for improving image data, the method comprising: providing an optical system comprising a signal processor; collecting image data generated by the optical system, wherein the image data comprises non-uniformly sampled data; performing an interpolation operation on the non-uniformly sampled data using the signal processor, to generate interpolated data, wherein the interpolation operation comprises transforming the non-uniformly sampled data from the spatial domain to the frequency domain by applying the function f ⁡ ( x ) = 2 Q ⁢ ∑ n = - ∞ + ∞ ⁢ f ⁡ ( x n ) ⁢ sin ⁢ ⁢ c ⁡ [ 2 Q ⁢ ( n - x Δ ⁢ ⁢ x ) ] , to the non-uniformly sampled data, wherein ƒ(x) is a sampled periodic function, Q is a dimensionless constant for the ratio of a sampling frequency to a band-limited frequency, n is the sampling interval, ∑ n = - ∞ + ∞ is the summation from positive infinity to negative infinity and ƒ(x) n is the value of the periodic function at the sampling interval n; adjusting the image data with the interpolated data using the signal processor, to generate improved image data; and outputting the improved image data to a user.