Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 0968.68175
Chan, Tony; Marquina, Antonio; Mulet, Pep
High-order total variation-based image restoration. (English)
[J] SIAM J. Sci. Comput. 22, No.2, 503-516 (2000). ISSN 1064-8275; ISSN 1095-7197/e

Summary: The Total Variation (TV) denoising method is a PDE-based technique that preserves edges well but has the sometimes undesirable staircase effect, namely, the transformation of smooth regions ( ramps) into piecewise constant regions (stairs). We present an improved model, constructed by adding a nonlinear fourth order diffusive term to the Euler-Lagrange equations of the variational TV model. Our technique substantially reduces the staircase effect, while preserving sharp jump discontinuities (edges). We show numerical evidence of the power of resolution of this novel model with respect to the TV model in some 1D and 2D numerical examples.

MSC 2000:: *68U10 Image processing
65K10 Optimization techniques (numerical methods)
65F10 Iterative methods for linear systems

Keywords: image denoising; total variation; fourth order PDE

Cited in: Zbl 1193.49012

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]