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Quantification of tissue parameters using MRI is emerging as a powerful tool in clinical diagnosis and research studies. The need for multiple long scans with different acquisition parameters prohibits quantitative MRI from reaching…

Quantitative Methods · Quantitative Biology 2024-08-07 Amir Heydari , Abbas Ahmadi , Tae Hyung Kim , Berkin Bilgic

Standard interpolation techniques are implicitly based on the assumption that the signal lies on a single homogeneous domain. In contrast, many naturally occurring signals lie on an inhomogeneous domain, such as brain activity associated to…

Signal Processing · Electrical Eng. & Systems 2019-06-28 Hamid Behjat , Zafer Doğan , Dimitri Van De Ville , Leif Sörnmo

This paper deals with Hermite osculatory interpolating splines. For a partition of a real interval endowed with a refinement consisting in dividing each subinterval into two small subintervals, we consider a space of smooth splines with…

Numerical Analysis · Mathematics 2024-03-27 M. Boushabi , S. Eddargani , M. J. Ibáñez , A. Lamnii

The selection of optimal designs for generalized linear mixed models is complicated by the fact that the Fisher information matrix, on which most optimality criteria depend, is computationally expensive to evaluate. Our focus is on the…

Methodology · Statistics 2015-09-22 Timothy W. Waite , David C. Woods

We present an efficient B-spline finite element method (FEM) for cloth simulation. While higher-order FEM has long promised higher accuracy, its adoption in cloth simulators has been limited by its larger computational costs while…

Graphics · Computer Science 2026-05-05 Yuqi Meng , Yihao Shi , Kemeng Huang , Zixuan Lu , Ning Guo , Taku Komura , Yin Yang , Minchen Li

Radial basis functions (RBFs) play an important role in function interpolation, in particular in an arbitrary set of interpolation nodes. The accuracy of the interpolation depends on a parameter called the shape parameter. There are many…

Numerical Analysis · Mathematics 2025-08-27 Maria Han Veiga , Faezeh Nassajian Mojarrad , Fatemeh Nassajian Mojarrad

We present new fault jump estimates to guide local refinement in surface approximation schemes with adaptive spline constructions. The proposed approach is based on the idea that, since discontinuities in the data should naturally…

Numerical Analysis · Mathematics 2024-06-27 Cesare Bracco , Carlotta Giannelli , Francesco Patrizi , Alessandra Sestini

In this paper, we present an interpolation scheme for FRQI images based on bilinear interpolation. To accomplish this, we formulated several quantum modules, i.e., assignment module, increment module, and quarter module, and suffused them…

Quantum Physics · Physics 2020-10-21 Fei Yan , Shan Zhao , Salvador E. Venegas-Andraca

The success of many computer vision tasks lies in the ability to exploit the interdependency between different image modalities such as intensity and depth. Fusing corresponding information can be achieved on several levels, and one…

Computer Vision and Pattern Recognition · Computer Science 2014-06-26 Martin Kiechle , Tim Habigt , Simon Hawe , Martin Kleinsteuber

High resolution depth-maps, obtained by upsampling sparse range data from a 3D-LIDAR, find applications in many fields ranging from sensory perception to semantic segmentation and object detection. Upsampling is often based on combining…

Computer Vision and Pattern Recognition · Computer Science 2016-06-20 C. Premebida , L. Garrote , A. Asvadi , A. Pedro Ribeiro , U. Nunes

Spectral methods are renowned for their high accuracy and efficiency in solving partial differential equations. The Fourier pseudo-spectral method is limited to periodic domains and suffers from Gibbs oscillations in non-periodic problems.…

Numerical Analysis · Mathematics 2025-12-09 Dongan Li , Mou Lin , Shunxiang Cao , Shengli Chen

Three-dimensional (3D) multi-slab imaging is a promising approach for high-resolution in vivo diffusion MRI (dMRI) due to its compatibility with short TR (1-2 s), providing optimal signal-to-noise ratio (SNR) efficiency. A major challenge,…

Medical Physics · Physics 2026-02-10 Ziyu Li , Karla L. Miller , Wenchuan Wu

Purpose: Common dense stereo Simultaneous Localization and Mapping (SLAM) approaches in Minimally Invasive Surgery (MIS) require high-end parallel computational resources for real-time implementation. Yet, it is not always feasible since…

Robotics · Computer Science 2023-12-27 Jingwei Song , Ray Zhang , Qiuchen Zhu , Jianyu Lin , Maani Ghaffari

The benefits, opportunities and growing availability of ultra-high field magnetic resonance imaging (MRI) for humans have prompted an expansion in research and development efforts towards increasingly more advanced high-resolution imaging…

Medical Physics · Physics 2023-04-14 Cristina Sainz Martinez , Meritxell Bach Cuadra , João Jorge

Magnetic resonance (MR) fingerprinting is a new quantitative imaging paradigm, which simultaneously acquires multiple MR tissue parameter maps in a single experiment. In this paper, we present an estimation-theoretic framework to perform…

Signal Processing · Electrical Eng. & Systems 2018-10-03 Bo Zhao , Justin P. Haldar , Congyu Liao , Dan Ma , Yun Jiang , Mark A. Griswold , Kawin Setsompop , Lawrence L. Wald

This paper studies a \textit{partial functional partially linear single-index model} that consists of a functional linear component as well as a linear single-index component. This model generalizes many well-known existing models and is…

Statistics Theory · Mathematics 2017-03-09 Qingguo Tang , Linglong Kong , David Ruppert , Rohana J. Karunamuni

Renewed interest in mixed-precision algorithms has emerged due to growing data capacity and bandwidth concerns, as well as the advancement of GPUs, which enable significant speedup for low precision arithmetic. In light of this, we propose…

Numerical Analysis · Mathematics 2020-12-14 Alec Michael Dunton , Alyson Fox

Quantitative MRI (qMRI) is becoming increasingly important for research and clinical applications, however, state-of-the-art reconstruction methods for qMRI are computationally prohibitive. We propose a temporal multiscale approach to…

Optimization and Control · Mathematics 2021-03-31 Samuel Cortinhas , Mohammad Golbabaee , Matthias J. Ehrhardt

We propose a marginal super-resolution (MSR) approach based on 2D convolutional neural networks (CNNs) for interpolating an anisotropic brain magnetic resonance scan along the highly under-sampled direction, which is assumed to axial…

Image and Video Processing · Electrical Eng. & Systems 2019-08-16 Cheng Peng , Wei-An Lin , Haofu Liao , Rama Chellappa , S. Kevin Zhou

Computational models of biophysical tissue properties have been widely used in diffusion MRI (dMRI) research to elucidate the link between microstructural properties and MR signal formation. For brain tissue, the research community has…

Medical Physics · Physics 2019-07-16 Santiago Coelho , Jose M. Pozo , Sune N. Jespersen , Alejandro F. Frangi