In this paper, a diffusion-based curvelet shrinkage is proposed for discontinuity-preserving
denoising using a combination of a new tight frame of curvelets with a nonlinear diffusion …

Mathematische Bildverarbeitung ist die Behandlung von mathematischen Objekten die
Bildern entsprechen; dabei ist unter „Bild “das zu verstehen, was oft umgangssprachlich …

Splines play an important role as solutions of various interpolation and approximation
problems that minimize special functionals in some smoothness spaces. In this paper, we …

Denoising is always a challenging problem in natural imaging and geophysical data
processing. In this paper, we consider the denoising of texture images using a nonlinear …

In this paper, we apply the dual approach developed by A. Chambolle for the Rudin-Osher-
Fatemi model to regularization functionals with higher order derivatives. We emphasize the …

We study a class of numerical schemes for nonlinear diffusion filtering that offers insights on
the design of novel wavelet shrinkage rules for isotropic and anisotropic image …

In this work, we take a novel line of approaches to evolve images. It is motivated by the total
variation method, known for its denoising and edge-preserving effect. Our approach …

Compressed sensing provides a new sampling theory for data acquisition, which says that
compressible signals can be exactly reconstructed from highly incomplete sets of linear …

While shock filters are popular morphological image enhancement methods, no well-
posedness theory is available for their corresponding partial differential equations (PDEs) …

Diffusion processes driven by anisotropic diffusion tensors are known to be well-suited for
structure-preserving denoising. However, numerical implementations based on finite …