Anisotropic Diffusions of Image Processing From Perona-Malik on

نویسندگان

  • Patrick Guidotti
  • P. Guidotti
چکیده

Many reasons can be cited for the desire to harness the power of nonlinear anisotropic diffusion in image processing. Perona and Malik proposed one of the pioneering models which, while numerically viable, proves mathematically ill-posed. This discrepancy between its analytical properties and those of its numerical implementations spurred a significant amount of research in the past twenty years or so. An overview of the latter is the topic of this article.

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

Application of iterative Jacobi method for an anisotropic diusion in image processing

Image restoration has been an active research area. Dierent formulations are eective in high qualityrecovery. Partial Dierential Equations (PDEs) have become an important tool in image processingand analysis. One of the earliest models based on PDEs is Perona-Malik model that is a kindof anisotropic diusion (ANDI) lter. Anisotropic diusion lter has become a valuable tool indierent elds of image...

متن کامل

Some Anisotropic Diffusions

Since the seminal works of Mumford-Shah [16] and Perona-Malik [18], variational and PDE-based methods have found a wide range of applications in Image Processing and have generated steady interest in the mathematical community. The latter is at least partly due to the difficulties one encounters in developing a mathematical theory encopassing equations which are often ill-posed albeit practical...

متن کامل

Image denoising using modified Perona-Malik model based on directional Laplacian

The Perona–Malik (PM) model, or the anisotropic diffusion, shows good performance for image restoration. However, it suffers from the so-called staircasing effect if the contrast parameter is small and otherwise cannot preserve edges. This paper proposes a modified Perona–Malik (MPM) model based on directional Laplacian, which diffuses image along the edge direction of the original image. A sli...

متن کامل

Modified Perona-Malik Equation and Computer Simulation for Image Denoising

The edges and textures of a digital image may be destroyed by traditional denoising methods, which is a difficult problem in image denoising. In this paper, anisotropic diffusion algorithm based on Partial differential equation is studied. First, image denoising algorithms based on Perona-Malik model are studied. Second, a modified Perona-Malik model is proposed. In the porposed model, the grad...

متن کامل

A new well-posed nonlinear nonlocal diffusion

Nonlinear diffusions have successfully been employed to perform a variety of tasks in image processing. In the context of denoising, the Perona-Malik equation is a particularly successful example. In spite of its cherished qualities, it is mathematically ill-posed and has some practical short-comings. In this short paper a new nonlocal nonlinear diffusion is reported upon, which is locally well...

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 2013