Anisotropic selective inverse diffusion for signal enhancement in the presence of noise

Authors:
G. Gilboa;Y. Y. Zeevi;N. Sochen
Affiliations:
Fac. of Electr. Eng., Technion-Israel Inst. of Technol., Haifa, Israel;-;-
Venue:
ICASSP '00 Proceedings of the Acoustics, Speech, and Signal Processing, 2000. on IEEE International Conference - Volume 01
Year:
2000

Citing 0
Cited 4

Regularized Shock Filters and Complex Diffusion

ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part I
On the Coupled Forward and Backward Anisotropic Diffusion Scheme for Color Image Enhancement

CIVR '02 Proceedings of the International Conference on Image and Video Retrieval
Combined Forward and Backward Anisotropic Diffusion Filtering of Color Images

Proceedings of the 24th DAGM Symposium on Pattern Recognition
Geodesic active contour, inertia and initial speed

Pattern Recognition Letters

Quantified Score

Hi-index	0.00

Visualization

Abstract

Signal and image enhancement in the presence of noise is considered in the context of the scale-space approach. A modified dynamic process, based on the action of a nonlinear diffusion equation, is presented. The diffusion coefficient is adjusted according to the local gradient, intensity and other image properties, and as such also reverses its sign, i.e. switches from a forward to a backward (inverse) diffusion process according to a given criterion. This results in enhancement of transients and singularities in the one-dimensional case, and of edges in images, while locally denoising smoother segments of the signal or image. Regularization of the ill-posed inverse diffusion problem is discussed. Examples of both one-dimensional signals and images are presented.