Slowed Anisotropic Diiusion

نویسنده

  • Karol Mikula
چکیده

A generalization of the regularized (in the sense of Cattt, Lions, Morel and Coll) Perona-Malik anisotropic diiusion equation is proposed for image analysis. We present a numerical method for solving the above nonlinear degenerate diiusion problem, together with existence and convergence results. Numerical experiments are disscussed.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Robust Anisotropic Diiusion: Connections between Robust Statistics, Line Processing, and Anisotropic Diiusion

Relations between anisotropic diiusion and robust statistics are described in this paper. We show that anisotropic diiusion can be seen as a robust estimation procedure that estimates a piecewise smooth image from a noisy input image. The \edge-stopping" function in the anisotropic diiusion equation is closely related to the error norm and innuence function in the robust estimation framework. T...

متن کامل

Bilateral Filtering and Anisotropic Diiusion: towards a Uniied Viewpoint

Bilateral ltering has recently been proposed as a noniterative alternative to anisotropic diiusion. In both these approaches, images are smoothed while edges are preserved. Unlike anisotropic diiusion, bilateral ltering does not involve the solution of partial diierential equations and can be implemented in a single iteration. Despite the diier-ence in implementation, both methods are designed ...

متن کامل

Multiscale Texture Enhancement

The ideas of texture analysis by means of the structure tensor are combined with the scale-space concept of anisotropic diiusion ltering. In contrast to many other nonlinear diiusion techniques, the proposed one uses a diiusion tensor instead of a scalar diiusivity. This allows true anisotropic behaviour. The preferred diiusion direction is determined according to the phase angle of the structu...

متن کامل

Knowledge-based Anisotropic Diiusion of Vector-valued 4-dimensional Cardiac Mr Images

We present a general formulation for a new knowledge-based approach to anisotropic diiusion of multi-feature and multi-dimensional images, with an illustrative application to cardiac MRI. We incorporate all available information through a more complete deenition of the conductance function which diiers from previous approaches in two aspects. First, we model the conductance as an explicit funct...

متن کامل

Controlled Anisotropic Diiusion

Anisotropic diiusion has been extensively used as an eecient nonlinear ltering technique for simultaneously performing contrast enhancement and noise reduction, and for deriving consistent scale-space image descriptions. In this paper, we present a general study of anisotropic diiusion schemes based on diierential group-invariant representations of local image structure. We show that the local ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1997