Admissible Concentration Factors for Edge Detection from Non-uniform Fourier Data.

Edge detection from Fourier data has been emerging in many applications. The concentration factor method has been widely used in detecting edges from Fourier data. We present a theoretic analysis of the concentration factor method for non-uniform Fourier data in this paper. Specifically, we propose admissible conditions for the concentration factors such that the edge detector converges to a smoothed approximation of the jump function. Moreover, we also introduce some specific choices of admissible concentration factors and present estimates of convergence rates correspondingly. [ABSTRACT FROM AUTHOR]