Approximating the total variation with finite differences or finite elements

نویسندگان

چکیده

We present and compare various types of discretizations which have been proposed to approximate the total variation (mostly, a gray-level image in two dimensions). discuss properties finite differences elements based approach their merits, particular terms error estimates quality reconstruction.

برای دانلود باید عضویت طلایی داشته باشید

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Mesh-Centered Finite Differences from Nodal Finite Elements

After it is shown that the classical ve points mesh-centered nite diierence scheme can be derived from a low order nodal nite element scheme by using nonstandard quadrature formulae, higher order block mesh-centered nite diierence schemes for second-order elliptic problems are derived from higher order nodal nite elements with nonstandard quadrature formulae as before, combined to a procedure k...

متن کامل

Finite differences and finite elements: getting to know you

T o debug your programs, it’s helpful to experiment with the simplest test problem and a small number of mesh points. Look ahead to Problem 6 for sample problems. Problem 2 uses the Matlab function spdiags to construct a sparse matrix. If you have never used sparse matrices in Matlab, print the matrix A to see that its data structure contains the row index, column index, and value for each nonz...

متن کامل

On the Displacement-Stress Continuous Finite Elements

For the analysis of composite media, three different compatible and mixed finite element formulations are presented which apriori enforce the continuity of stresses as well as displacements at the element interfaces. The formulations are applied for the analysis of hi-material interfaces in two problems often encountered in the field of orthopaedic biomechanics, that is the fixation analysis in...

متن کامل

Mixed Finite Elements for Elliptic Problems with Tensor Coeecients as Cell-centered Finite Diierences Mixed Finite Elements for Elliptic Problems with Tensor Coefficients as Cell-centered Finite Differences

We present an expanded mixed nite element approximation of second order elliptic problems containing a tensor coeecient. The mixed method is expanded in the sense that three variables are explicitly approximated, namely, the scalar unknown, the negative of its gradient, and its ux (the tensor coeecient times the negative gradient). The resulting linear system is a saddle point problem. In the c...

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

ژورنال

عنوان ژورنال: Handbook of Numerical Analysis

سال: 2021

ISSN: ['1570-8659', '1875-5445']

DOI: https://doi.org/10.1016/bs.hna.2020.10.005