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Close-form solution and parameter selection for convex minimization-based edge-preserving smoothing

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1 Author(s)
Li, S.Z. ; Sch. of Electr. & Electron. Eng., Nanyang Technol. Inst., Singapore

This work presents a new approach for the analysis of convex minimization-based edge-preserving image smoothing and the parameter selection therein. The global solution, that is, the response of a convex smoothing model to the ideal step edge, is derived in close-form. By analyzing the close-form solution, insights are drawn into how the optimal solution responds to edges in the data and how the parameter values affect resultant edges in the solution. Based on this, a scheme is proposed for selecting parameters to achieve desirable responses at edges. The theoretic results are substantiated by experiments

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Pattern Analysis and Machine Intelligence, IEEE Transactions on  (Volume:20 ,  Issue: 9 )