Results 71 to 80 of about 3,866,571 (229)
Simultaneous T<sub>2</sub>, T<sub>2</sub>*, and R<sub>2</sub>' Mapping for Multiple Sclerosis Using Nonlinear Model-Based Reconstruction of Undersampled Radial RARE-EPI MRI. [PDF]
Magn Reson MedABSTRACT Purpose To demonstrate the synergy of undersampled radial 2in1‐RARE‐EPI acquisition and nonlinear model‐based reconstruction for accelerated and simultaneous T2, T2*, and R2′ mapping in brains of patients with multiple sclerosis (MS). Methods 2in1‐RARE‐EPI combines a RARE module with an EPI module to capture T2 and T2* information.
Velasquez Vides JR +16 more
europepmc +2 more sources
CAAI Transactions on Intelligence Technology, EarlyView.ABSTRACT This paper proposes a boundary control method for nonlinear distributed parameter systems (DPSs) with limited boundary measurements (BMs), as typically encountered in networked cyber‐physical processes with spatially distributed dynamics such as thermal and biomedical diffusion systems.
Yanlin Li +5 more
wiley +1 more source
Computing Skinning Weights via Convex Duality
Computer Graphics Forum, EarlyView.We present an alternate optimization method to compute bounded biharmonic skinning weights. Our method relies on a dual formulation, which can be optimized with a nonnegative linear least squares setup. Abstract We study the problem of optimising for skinning weights through the lens of convex duality.
J. Solomon, O. Stein
wiley +1 more source
Hierarchical Optimization of the As‐Rigid‐As‐Possible Energy
Computer Graphics Forum, EarlyView.Abstract The As‐Rigid‐As‐Possible (ARAP) energy [SA07] has become a versatile ingredient in various geometry processing and machine learning methods. The classic method for its minimization is a block coordinate descent, alternating between local rotation estimation and a global linear solve, which converges slowly for large problem instances.
Hendrik Meyer, Bernd Bickel, Marc Alexa
wiley +1 more source
Optimal Regularity Properties of the Generalized Sobolev Spaces
Journal of Function Spaces and Applications, 2013 We prove optimal embeddings of the generalized Sobolev spaces , where is a rearrangement invariant function space, into the generalized Hölder-Zygmund space generated by a function space .
G. E. Karadzhov, Qaisar Mehmood
doaj +1 more source
Sobolev Space On Riemannian Manifolds [PDF]
, 2019 The main aim of this thesis is to study the theory of Sobolev spaces on Riemannian manifolds. This thesis is divided into three parts, 1st we will learn Riemannian Geometry then Sobolev space on R n at last we will define Sobolev space on Riemannian ...
Kayal, Arnab, Manna, Bhakti Bhusan
core
Journal of Function Spaces, 2014 We introduce a new space QK(∂D) of Lebesgue measurable functions on the unit circle connecting closely with the Sobolev space. We obtain a necessary and sufficient condition on K such that QK(∂D)=BMO(∂D), as well as a general criterion on weight ...
Jizhen Zhou
doaj +1 more source
Fourier Series of Gegenbauer-Sobolev Polynomials [PDF]
, 2018 We study the partial sum operator for a Sobolev-type inner product related to the classical Gegenbauer polynomials. A complete characterization of the partial sum operator in an appropriate Sobolev space is given.
Ciaurri, Ó. +6 more
core +1 more source
Sharp affine weighted L 2 Sobolev inequalities on the upper half space
Advanced Nonlinear StudiesWe establish some sharp affine weighted L 2 Sobolev inequalities on the upper half space, which involves a divergent operator with degeneracy on the boundary.
Dou Jingbo, Hu Yunyun, Yue Caihui
doaj +1 more source
Hyponormal Toeplitz Operators on the Dirichlet Spaces
Abstract and Applied Analysis, 2013 We completely characterize the hyponormality of bounded Toeplitz operators with Sobolev symbols on the Dirichlet space and the harmonic Dirichlet space.
Puyu Cui, Yufeng Lu
doaj +1 more source