A5061241625- Advanced Neuroimaging Techniques and Applications
- Advanced MRI Techniques and Applications
- MRI in cancer diagnosis
- NMR spectroscopy and applications
- Image and Signal Denoising Methods
- Atomic and Subatomic Physics Research
- Statistical and numerical algorithms
- Bone and Joint Diseases
- Ultrasound Imaging and Elastography
- Speech and Audio Processing
- Seismic Imaging and Inversion Techniques
- Functional Brain Connectivity Studies
- Geophysics and Gravity Measurements
- Mathematical Analysis and Transform Methods
- Structural Health Monitoring Techniques
- Wind and Air Flow Studies
- Single-cell and spatial transcriptomics
- Hearing Loss and Rehabilitation
- Music and Audio Processing
- Control Systems and Identification
- Advanced Control and Stabilization in Aerospace Systems
- Underwater Acoustics Research
- Fetal and Pediatric Neurological Disorders
- Pluripotent Stem Cells Research
- Numerical methods in inverse problems
Australian National University
2015-2020
École Polytechnique Fédérale de Lausanne
2018
University of Auckland
2014
This paper presents a novel sampling scheme on the sphere for obtaining head-related transfer function (HRTF) measurements and accurately computing spherical harmonic transform (SHT). The requires an optimal number of samples, given by degrees freedom in spectral domain, accurate representation HRTF that is band-limited domain. proposed allows samples to be easily taken over due its iso-latitude structure non-dense near poles. In addition, can used when are not from south polar cap region as...
We design a sampling scheme on the sphere and corresponding spherical harmonic transform (SHT) for measurement reconstruction of diffusion signal in magnetic resonance imaging (dMRI). By exploiting antipodal symmetry property spectral (spherical harmonic) domain, we that attains optimal number samples, equal to degrees freedom required represent antipodally symmetric band-limited domain. Compared with other schemes can be used demonstrate, through numerical experiments, proposed enables more...
In this paper, we develop a new method for the fast and memory-efficient computation of Slepian functions on sphere. functions, which arise as solution concentration problem sphere, have desirable properties applications where measurements are only available within spatially limited region sphere and/or function is required to be analyzed over region. currently not easily computed large band-limits an arbitrary spatial due high computational memory storage requirements. For special case...
In this paper, we develop an analytical formulation for the Slepian spatial-spectral concentration problem on sphere a limited colatitude-longitude spatial region sphere, defined as Cartesian product of range positive colatitudes and longitudes. The solution is set functions that are optimally concentrated orthogonal within or spectral region. These properties make them useful applications where measurements taken spatially and/or signal only to be analyzed sphere. To support localized...
Abstract Diffusion MRI fiber tractography is widely used to probe the structural connectivity of thebrain, with a range applications in both clinical and basic neuroscience. Despite widespread use, has well-known pitfalls that limits anatomical accuracy this technique. Numerous modern methods have been developed address these shortcomings through advances acquisition, modeling, computation. To test whether improve accuracy, we organized ISBI 2018 3D Validation Tractography Experimental...
We propose a 4-dimensional (4D) basis and sampling scheme, along with corresponding reconstruction algorithm, for the measurement of b-tensor encoded diffusion signal in magnetic resonance imaging (MRI). This is only second proposed representing first to allow planar tensor measurements. design scheme that attains an efficient number samples, equal degrees freedom required represent 4D basis. The properties are studied provide recommendations on how many measurements use. Evaluation using...
We propose a sampling scheme on the sphere and develop corresponding spherical harmonic transform (SHT) for accurate reconstruction of diffusion signal in magnetic resonance imaging (dMRI). By exploiting antipodal symmetry, we design that requires optimal number samples sphere, equal to degrees freedom required represent antipodally symmetric band-limited spectral (spherical harmonic) domain. Compared with existing schemes allow signal, proposed reduces by factor two or more. analyse...
In this work we investigate using the Slepian basis for reconstruction of head-related transfer function (HRTF) on sphere. Measurements HRTF are unavailable over south polar cap which tends to result in a large error when is performed traditionally used spherical harmonic basis. While well-suited applications where data taken whole sphere, it not natural considering region The set functions optimally concentrated and orthogonal within region, unlike We demonstrate through numerical...
This paper proposes a multi-shell sampling scheme and corresponding transforms for the accurate reconstruction of diffusion signal in MRI by expansion spherical polar Fourier (SPF) basis. The uses an optimal number samples, equal to degrees freedom band-limited SPF domain, allows computationally efficient reconstruction. We use synthetic data sets demonstrate that proposed greater accuracy than obtained using generalised electrostatic energy minimisation (gEEM) method used Human Connectome...
This paper presents novel single and multi-shell sampling schemes for diffusion MRI. In MRI, it is paramount that the number of samples as small possible in order scan times are practical a clinical setting. The proposed use an efficient measurements equal to degrees freedom orthonormal bases used reconstruction. Novel reconstruction algorithms based on smaller subsystems linear equations, compared standard regularized least-squares method, developed both multi-shells schemes. matrices these...
The zebrafish is a popular vertebrate model organism that widely deployed with lab-on-a-chip (LoC) technology for in-situ experiments in drug discovery and eco-toxicity assays. Although LoC devices enable easy manipulation trapping of embryos such experiments, constant human attention required during after the online offline monitoring analysis. throughput turnaround time are both limited from lack automated image In this paper, novel analysis algorithm developed to automatically recognise...
We propose a sampling scheme on the sphere and develop corresponding spherical harmonic transform (SHT) for accurate reconstruction of diffusion signal in magnetic resonance imaging (dMRI). By exploiting antipodal symmetry, we design that requires optimal number samples sphere, equal to degrees freedom required represent antipodally symmetric band-limited spectral (spherical harmonic) domain. Compared with existing schemes allow signal, proposed reduces by factor two or more. analyse...
We propose a multi-shell sampling grid and develop corresponding transforms for the accurate reconstruction of diffusion signal in MRI by expansion spherical polar Fourier (SPF) basis. The transform is exact radial direction accurate, on order machine precision, angular direction. scheme uses an optimal number samples equal to degrees freedom SPF domain.
This paper proposes a multi-shell sampling scheme and corresponding transforms for the accurate reconstruction of diffusion signal in MRI by expansion spherical polar Fourier (SPF) basis. The uses an optimal number samples, equal to degrees freedom band-limited SPF domain, allows computationally efficient reconstruction. We use synthetic data sets demonstrate that proposed greater accuracy than schemes obtained using generalised electrostatic energy minimisation (gEEM) method used Human...
In this work, we propose a method for the derivation of prolate spheroidal wave functions (PSWFs) and Slepian on continuous disjoint intervals real number line. The proposed uses Fourier series to obtain closed-form approximation With expression, can be evaluated at arbitrary points in region interest with high accuracy. conventional properties concentration problem evaluate PSWFs finite an interval. is computationally expensive does not allow easy storage. By approximating interval...
This paper presents a novel 4D-basis, sampling grid and corresponding transforms for representing, reconstructing the diffusion MRI signal that is function of both wave vector q time τ. The vast majority schemes treat as constant only focus on q, however incorporation important estimating axon diameter packing density. Our proposed scheme second to include time, first provide an accurate reconstruction transform recommendations. Unlike by Fick et al., requires number samples which equal...