Title :
Constrained regularized differentiation
Author :
Taratorin, Alexander M. ; Sideman, Samuel
Author_Institution :
Heart Syst. Res. Center, Technion-Israel Inst. of Technol., Haifa, Israel
fDate :
1/1/1994 12:00:00 AM
Abstract :
Numerical differentiation is an ill-posed problem. This article demonstrates that the application of the regularization theory together with the methods of projections on convex sets of constraints improve the accuracy of the derivatives calculation. Simulation results are presented and the applications of the proposed method to edge detection are discussed
Keywords :
differentiation; edge detection; numerical analysis; constrained regularized differentiation; edge detection; numerical differentiation; regularization theory; Brightness; Constraint theory; Detectors; Equations; Filters; Frequency; Image edge detection; Physics computing; Shape; Signal to noise ratio;
Journal_Title :
Pattern Analysis and Machine Intelligence, IEEE Transactions on