Fiber Orientation Distribution Estimation Using a Peaceman--Rachford Splitting Method
DOI10.1137/15M1026626zbMath1346.92038OpenAlexW2347161683MaRDI QIDQ3188198
Yannan Chen, Deren Han, Yu-Hong Dai
Publication date: 17 August 2016
Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/15m1026626
semidefinite programmingmagnetic resonance imagingfiber orientation distributionPeaceman-Rachford splitting methodpositive semidefinite tensorsum of squares polynomial
Numerical mathematical programming methods (65K05) Semidefinite programming (90C22) Applications of mathematical programming (90C90) Biomedical imaging and signal processing (92C55) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Numerical solution of nonlinear eigenvalue and eigenvector problems (65H17)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonnegative diffusion orientation distribution function
- D-eigenvalues of diffusion kurtosis tensors
- Principal invariants and inherent parameters of diffusion kurtosis tensors
- Semidefinite programming relaxations for semialgebraic problems
- A quadrature formula for the sphere of the 131st algebraic order of accuracy
- Total variation and wavelet regularization of orientation distribution functions in diffusion MRI
- Positive definiteness of diffusion kurtosis imaging
- Eigenvalues of a real supersymmetric tensor
- Positive Semidefinite Generalized Diffusion Tensor Imaging via Quadratic Semidefinite Programming
- Alternating Direction Method with Gaussian Back Substitution for Separable Convex Programming
- Approximating Symmetric Positive Semidefinite Tensors of Even Order
- A Strictly Contractive Peaceman--Rachford Splitting Method for Convex Programming
- The Numerical Solution of Parabolic and Elliptic Differential Equations
- On the Numerical Solution of Heat Conduction Problems in Two and Three Space Variables
- Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information
- Extreme diffusion values for non-Gaussian diffusions
- All Real Eigenvalues of Symmetric Tensors
- On Alternating Direction Methods of Multipliers: A Historical Perspective
- A Sum of Squares Approximation of Nonnegative Polynomials
- For most large underdetermined systems of linear equations the minimal 𝓁1‐norm solution is also the sparsest solution
- Stable signal recovery from incomplete and inaccurate measurements
- A descent method for structured monotone variational inequalities
This page was built for publication: Fiber Orientation Distribution Estimation Using a Peaceman--Rachford Splitting Method
