Automated Determination of the Pose of a Human from Visual Information - Markerless 3D Pose Recovery of Humans from Videos. The development of 3D human pose recovery has been sought by computer vision researchers for many years. Our results will, firstly, have benefit for Australia's standing in the international computer vision community. Over time, the research outcomes will be developed into a software product for rehabilitation analysis by recognizing discrepancies between the walking pat ....Automated Determination of the Pose of a Human from Visual Information - Markerless 3D Pose Recovery of Humans from Videos. The development of 3D human pose recovery has been sought by computer vision researchers for many years. Our results will, firstly, have benefit for Australia's standing in the international computer vision community. Over time, the research outcomes will be developed into a software product for rehabilitation analysis by recognizing discrepancies between the walking patterns of healthy individuals and those with abnormalities as a result of accidents or diseases. The Australian economy will benefit by the reduction in the lifetime cost of injuries. This software will also provide benefits to the movie animation, computer games industry, and the training of athletes.Read moreRead less
Modelling and estimation methods for discrete multi-dimensional systems. Multi-dimensional signal processing plays a role in a variety of application areas, ranging from remote sensing for environmental monitoring and geological mapping, to medical imaging and the automatic control of industrial processes. The success of the project will provide mathematical tools for the advancement of the state-of-the-art in these broad areas.
Economic Operability Assessment of Leaching Process at Kwinana Nickel Refinery. Process operability is concerned with systematic analysis and improvement of process performance in the face of variable operating conditions. This project will develop a rigorous methodology for analysis of process operability with respect to short-term and transient disturbances. The proposed technique will be applied to the Kwinana Nickel Refinery Leach section, in order to reduce the plant variability and increas ....Economic Operability Assessment of Leaching Process at Kwinana Nickel Refinery. Process operability is concerned with systematic analysis and improvement of process performance in the face of variable operating conditions. This project will develop a rigorous methodology for analysis of process operability with respect to short-term and transient disturbances. The proposed technique will be applied to the Kwinana Nickel Refinery Leach section, in order to reduce the plant variability and increase nickel throughput and plant availability. This can be considered as significant move by a process industry to embrace advanced theoretical developments and will act as a benchmark to promote future links between Australian industry and academia.Read moreRead less
A Computational Study of Nonconvex and Nonlinear Semi-infinite Optimisation Problems in Signal Processing. The operation of filtering is an important part of most modern communication engineering systems. Many important problems, which arise naturally from communications engineering applications, can be formulated as nonconvex optimization problems and nonlinear semi-infinite and/or semi-definite optimization problems. New optimization theory, in combination with novel computationally efficient ....A Computational Study of Nonconvex and Nonlinear Semi-infinite Optimisation Problems in Signal Processing. The operation of filtering is an important part of most modern communication engineering systems. Many important problems, which arise naturally from communications engineering applications, can be formulated as nonconvex optimization problems and nonlinear semi-infinite and/or semi-definite optimization problems. New optimization theory, in combination with novel computationally efficient solution methods, and efficient hardware implementation will be developed. The outcomes will enhance Australia's reputation in this cutting edge research and facilitate opportunity for international collaboration as well as commercial opportunity. The project will also provide an excellent environment for the training of junior researchers in the area.Read moreRead less
Group actions: combinatorics, geometry and computation. Science today relies on digital technologies using quantised and digital information. Because of the discrete nature of digital information, much of the mathematics underpinning these advances comes from the core disciplines of algebra and combinatorics within which this proposal falls. All aspects of the proposal focus on strengthening theoretical understanding of algebraic and combinatorial structures, and increasing computational power f ....Group actions: combinatorics, geometry and computation. Science today relies on digital technologies using quantised and digital information. Because of the discrete nature of digital information, much of the mathematics underpinning these advances comes from the core disciplines of algebra and combinatorics within which this proposal falls. All aspects of the proposal focus on strengthening theoretical understanding of algebraic and combinatorial structures, and increasing computational power for working with them. The fundamental research outcomes, in terms of theorems, algorithms, and the training of young research mathematicians, will thus both enhance the high international standing of Australian mathematics, and strengthen Australia's capabilities in these important areas.Read moreRead less
Optimal Control Computation and Analysis of Switched Systems with State and Control Constraints. DC/DC converters are widely used in power supply systems and hybrid power systems generate cleaner energy. Achieving optimum performance in these applications has high commercial and environmental impacts. New optimal control problems for such practical problems will be formulated and new unified optimization theory and methods for these optimal control problems will be obtained. The outcomes will en ....Optimal Control Computation and Analysis of Switched Systems with State and Control Constraints. DC/DC converters are widely used in power supply systems and hybrid power systems generate cleaner energy. Achieving optimum performance in these applications has high commercial and environmental impacts. New optimal control problems for such practical problems will be formulated and new unified optimization theory and methods for these optimal control problems will be obtained. The outcomes will enhance Australia's reputation in this cutting edge research, and contribute to achieving optimal performance of high commercial and environmental value applications. It will also facilitate international collaboration, and provide an excellent opportunity for research training.Read moreRead less
Modelling the acoustical scattering properties of the human auditory system. The audio and entertainment industry is continually striving towards the development of immersive consumer technologies. Australian companies and researchers within this market sector utilise these audio technologies for many innovative applications, including virtual reality, communication, navigation, monitoring, and auditory products for the hearing impaired. These developments rely heavily on a fundamental understan ....Modelling the acoustical scattering properties of the human auditory system. The audio and entertainment industry is continually striving towards the development of immersive consumer technologies. Australian companies and researchers within this market sector utilise these audio technologies for many innovative applications, including virtual reality, communication, navigation, monitoring, and auditory products for the hearing impaired. These developments rely heavily on a fundamental understanding of our natural sense of spatial hearing. This project will extend the current understanding of the acoustic scattering mechanisms that govern the external auditory system, and provide critical enabling knowledge that will enhance the development of innovative audio technologies.Read moreRead less
An innovative computational technique for the study and control of oscillation marks in continuous casting of steel. The project addresses an important problem in steel making industry. The success of the project will lead to a comprehensive understanding of the continuous steel casting process and the development of an innovative computational technique for the analysis of the process, which is important for the optimal control of the process. As Australia has a huge amount of mineral resources ....An innovative computational technique for the study and control of oscillation marks in continuous casting of steel. The project addresses an important problem in steel making industry. The success of the project will lead to a comprehensive understanding of the continuous steel casting process and the development of an innovative computational technique for the analysis of the process, which is important for the optimal control of the process. As Australia has a huge amount of mineral resources, improvement of the steel casting technology will result in great economic and social benefit. It will increase the revenue from the steelmaking industry and ensure the Australian steelmaking industry to be internationally competitive. The project will also lead to the production of a number of graduates with expertise directly useful to our local industry. Read moreRead less
Groups: statistics, structure, and algorithms. Science today relies on digital technologies using quantised and digital information. Because of the discrete nature of digital information, much of the mathematics underpinning these advances comes from the core disciplines of algebra and combinatorics within which this proposal falls. All aspects of the proposal focus on strengthening theoretical understanding of algebraic and combinatorial structures, and increasing computational power for workin ....Groups: statistics, structure, and algorithms. Science today relies on digital technologies using quantised and digital information. Because of the discrete nature of digital information, much of the mathematics underpinning these advances comes from the core disciplines of algebra and combinatorics within which this proposal falls. All aspects of the proposal focus on strengthening theoretical understanding of algebraic and combinatorial structures, and increasing computational power for working with them. The fundamental research outcomes, in terms of theorems, algorithms, and the training of young research mathematicians, will thus both enhance the high international standing of Australian mathematics, and strengthen Australia's capabilities in these important areas.Read moreRead less
Factorisation of Finite Groups and Graphs. The combinatorial structure of a graph is strongly influenced by its
symmetry, and the symmetry is described precisely by its group of
automorphisms. Interplay between actions of the automorphism group on
vertices, edges, and other configurations, reveals important graph
structure, especially the existence of graph factorisations. In turn, a group factorisation arises whenever a group has two
independent transitive actions, and these arise in parti ....Factorisation of Finite Groups and Graphs. The combinatorial structure of a graph is strongly influenced by its
symmetry, and the symmetry is described precisely by its group of
automorphisms. Interplay between actions of the automorphism group on
vertices, edges, and other configurations, reveals important graph
structure, especially the existence of graph factorisations. In turn, a group factorisation arises whenever a group has two
independent transitive actions, and these arise in particular while
determining graph automorphism groups, and graph factorisations. We will classify families of group factorisations, especially for simple groups, and apply this to establish a theory of symmetrical graph
factorisations, and to study Cayley graphs and 2-closures of permutation groups.
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