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Constrained Regularized Differentiation
January 1994 (vol. 16 no. 1)
pp. 88-92

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.

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Index Terms:
edge detection; differentiation; numerical analysis; constrained regularized differentiation; numerical differentiation; regularization theory; edge detection
Citation:
A.M. Taratorin, S. Sideman, "Constrained Regularized Differentiation," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 16, no. 1, pp. 88-92, Jan. 1994, doi:10.1109/34.273713
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