Iterative projection onto convex sets for quantitative susceptibility mapping
نویسندگان
چکیده
منابع مشابه
Mesh Watermarking Using Projection onto Convex Sets
The current paper proposes 3D mesh watermarking using projection onto convex sets. As such, a 3D mesh is iteratively projected onto two constraint convex sets until the convergence condition is satisfied. The sets consist of a robustness set and invisibility set designed to embed the watermark. The watermark can be extracted without the original mesh using the decision values and index that the...
متن کاملIterative oblique projection onto convex sets and the split feasibility problem
Let C and Q be nonempty closed convex sets in RN and RM , respectively, and A an M by N real matrix. The split feasibility problem (SFP) is to find x ∈ C with Ax ∈ Q, if such x exist. An iterative method for solving the SFP, called the CQ algorithm, has the following iterative step: x = PC(x + γ A (PQ − I )Ax), where γ ∈ (0, 2/L) with L the largest eigenvalue of the matrix AT A and PC and PQ de...
متن کاملRestoration of error-diffused images using projection onto convex sets
A novel inverse halftoning method is proposed to restore a continuous tone image from a given half-tone image. A set theoretic formulation is used where three sets are defined using the prior information about the problem. A new space-domain projection is introduced assuming the halftoning is performed using error diffusion, and the error diffusion filter kernel is known. The space-domain, freq...
متن کاملDenoising Using Projection Onto Convex Sets (POCS) Based Framework
Two new optimization techniques based on projections onto convex space (POCS) framework for solving convex optimization problems are presented. The dimension of the minimization problem is lifted by one and sets corresponding to the cost function are defined. If the cost function is a convex function in R the corresponding set is also a convex set in R. The iterative optimization approach start...
متن کاملConsecutive projections onto convex sets.
In this note we describe and evaluate the performance of a novel approach to information recovery that involves consecutive projection onto convex sets (POCS). The method is applied to a time series of medical image data and the results are compared to images reconstructed using the standard POCS reconstruction method. The consecutive POCS method converges in a desired step-wise manner producin...
متن کاملذخیره 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: Magnetic Resonance in Medicine
سال: 2014
ISSN: 0740-3194
DOI: 10.1002/mrm.25155