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This is a toolbox (software library) for computing with matrices of Clifford algebra multivectors in MATLAB. It is designed to handle numerical computations with matrices as far as these are defined for matrices of multivectors. The toolbox is designed to work in the same way as MATLAB's own functions by overloading standard MATLAB functions with Clifford multivector versions. The toolbox can compute with any Clifford algebra with signature (p,q,r) but only with one algebra at a time. From version 2 of the toolbox onwards, computation is also supported with conformal geometric algebras (CGA), based on an underlying Clifford algebra to provide the numerical computation. ...

This work is described in: Orzada S, Fielder TM, Quick HH, Ladd ME, "A local SAR compression algorithm with improved compression, speed and flexibility", https://doi.org/10.1002/mrm.28739. This new algorithm is an iterative expansion of the exisisting local SAR compression algorithm for MRI proposed by Lee et al. ( https://doi.org/10.1002/mrm.23140) The number of VOPs is approximately halved with the new algorithm, while at the same time the compression time is reduced with speed-up factors of up to 2.5.

...MRiLab provides several dedicated toolboxes to analyze RF pulse, design MR sequence, configure multiple transmitting and receiving coils, investigate magnetic field related properties and evaluate real-time imaging technique. The main MRiLab simulation platform combined with those toolboxes can be applied to customize various virtual MR experiments which can serve as a prior stage for prototyping and testing new MR technique and application. If you find MRiLab useful for your work, please cite this paper: Fast Realistic MRI Simulations Based on Generalized Multi-Pool Exchange Tissue Model. ...

Isogeometric analysis (IGA) is a fundamental step forward in computational mechanics that offers the possibility of integrating methods for analysis into Computer Aided Design (CAD) tools and vice versa. The benefits of such an approach are evident, since the time taken from design to analysis is greatly reduced leading to large savings in cost and time for industry. The tight coupling of CAD and analysis within IGA requires knowledge from both fields and it is one of the goals of the MIGFEM is to provide a simple-to-understand IGA FEM code. The work is funded under the FP7 Initial Training Network Funding under grant number 289361 'Integrating Numerical Simulation and Geometric Design Technology.' ...