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A PDE approach to image smoothing and magnification using the Mumford-Shah functional

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3 Author(s)
Tsai, A. ; Dept. of Electr. Eng. & Comput. Sci., MIT, Cambridge, MA, USA ; Yezzi, A., Jr. ; Willsky, A.S.

We first address the problem of simultaneous image segmentation and smoothing by approaching the Mumford-Shah (1989) paradigm from a curve evolution perspective. In particular we let a set of deformable contours define the boundaries between regions in an image where we model the data via piecewise smooth functions and employ a gradient flow to evolve these contours. Next, we generalize the data fidelity term of the original Mumford-Shah functional to incorporate a spatially varying penalty. This more general model leads us to a novel partial differential equation (PDE) based approach for simultaneous image magnification, segmentation, and smoothing.

Published in:

Signals, Systems and Computers, 2000. Conference Record of the Thirty-Fourth Asilomar Conference on  (Volume:1 )

Date of Conference:

Oct. 29 2000-Nov. 1 2000