Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 21 for “"Orthogonal basis"”.
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On the Formulation of a Hybrid Discontinuous Galerkin Finite Element Method (DG-FEM) for Multi-layered Shell Structures
… next presented. In this case, the discontinuous basis functions can be employed for the displacement basis functions. The implementation details of the nonlinear FEM are next presented. Then, the Consistent Orthogonal Basis Function Space is developed. Given the boundary conditions and structure …
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Reps for JIMWLK: applications of representation theory to a novel approach to the JIMWLK equation
… becomes necessary to systematically construct an orthogonal basis for the space of color singlets with purely adjoint indices. The primary contribution of this dissertation is to construct a basis that makes significant strides towards this goal, using irreducible representations of the …
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A vector model for analysis, decomposition and segmentation of textures
… on an interpretation in which the tones form an orthogonal basis in a vector space of possible textures. Three methods for texture segmentation, which employ a texture indicator developed from this concept, are demonstrated. Application of the vector model requires the use of a priori information …
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Exploring large coherent spin systems with solid state NMR
… this method to encode coherence numbers in an orthogonal basis to Zeeman basis and showed that the dipolar-ordered state is a two spin correlated state, and confirmed the presence of the ... (flip-flop) terms in the experimentally prepared dipolar-ordered state. A new experimental investigation …
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On Exponentially Localized Wannier Functions in Non-Periodic Insulators
… localized Wannier functions (ELWFs) are an orthogonal basis for the low energy states of a material consisting of functions which decay exponentially quickly in space. When a material is insulating and periodic, conditions which guarantee the existence of ELWFs in dimensions one, two, and …
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Constrained H̳₂ design via convex optimization with applications
… the variables are the coefficients of a stable orthogonal basis. The basis is constructed using the recently rediscovered Generalized Orthonormal Basis Functions (GOBF) that have found application in system identification. It is proposed that many typical control specifications including …
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The Polyhedral Geometry of Graphical Designs
… stone, we show that given an appropriate orthogonal basis of $\mathbb{R}^n$ and a partition of these basis vectors, there is a positively weighted graph which has Laplacian eigenspaces specified by this basis and partition. These algorithms establish the first complexity results for …
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Signal compression and reconstruction using multiple bases representation
… scheme, based on the use of multiple orthogonal basis sets, that exhibits very good potential in both the source encoding and the signal reconstruction problems. This representation leads naturally to the splitting of the signal into additive components, each of which has a simpler …
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Feedback for neuronal system identification
… using a universal approximator with Generalized Orthogonal Basis Functions.
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Laguerre functions associated to Euclidean Jordan algebras
… The Laguerre functions correspond to an orthogonal set of functions in H<sub>v</sub>(T(Ω)) and they form an orthogonal basis in L<sup>2</sup>(Ω,dμ<sub>v</sub>)<sup>L</sup>, where L is a specific subgroup of G. The recursion relations result by restricting the representation to a …
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Meshless methods: theory and application in 3D fracture modelling with level sets
… of essential boundary conditions, the use of orthogonal basis functions to obtain shape functions and error control in adaptive analysis. In the latter part, a simple and efficient numerical framework is developed to overcome the difficulties in current 3D fracture modelling. Modelling cracks …
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Advanced response matrix methods for full core analysis
… faster than competing algorithms. Additionally, orthogonal bases for space, angle, and energy variables were investigated. For the spatial variable, a new basis set that incorporates a shape function characteristic of pin assemblies was found to reduce significantly the error in representing …
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Structure Borne Noise Analysis Using Helmholtz Equation Least Squares Based Forced Vibro Acoustic Components
… using singular value decomposition to obtain orthogonal basis known here as the forced vibro-acoustic components (F-VACs). The F-VACs enables one to identify the critical vibration components for sound radiation in a similar manner that modal decomposition identifies the critical natural modes …
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Signal theoretic characterization of a function using positive exponential basis functions
… the function throughout a sample interval by an orthogonal basis function expansion. The characterization described here obtains the coefficients in the expansion by processing the input waveform, in real time, through a system of three terminal passive RC filters. The outputs of the filters are …
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Spatio–temporal analysis of changes of shape for constituent bodies within biomolecular aggregates
… chains in enzymes are presented. Both models use orthogonal basis functions to describe the spatial dependences in a spherical geometry. Both models also describe the effect of time-dependent boundary data on the shape of the bodies involved, a stochastic response for the enzyme model (dimensions …
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Topics on Harmonic analysis and Multilinear Algebra
… In paper IV, we discuss the existence of an orthogonal basis consisting of decomposable vectors for all symmetry classes of tensors associated with Semi-dihedral groups $SD_{8n}$. In paper V, we discuss o-bases of symmetry classes of tensors associated with the irreducible Brauer characters …
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Photorealistic retrieval of occluded facial information using a performance-driven face model
… the driver faces. The model consists of a set of orthogonal basis actions obtained by application of principal component analysis (PCA) on image changes and motion fields extracted from a sequence of natural facial motion (Cowe 2003). Examples of occlusion affected facial behaviour can then be …
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Modelling and analysis of complex electromagnetic problems using FDTD subgridding in hybrid computational methods. Development of hybridised Method of Moments, Finite-Difference Time-Domain method and subgridded Finite-Difference Time-Domain method for precise computation of electromagnetic interaction with arbitrarily complex geometries
… formulation solved by independent linear basis function methods in the circumferential and axial directions of the antenna wires. A similar orthogonal basis function is used on the end surface and appropriate attachments with the wire surface are employed to satisfy the requirements of …
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Advanced Bayesian Monte Carlo Methods for Inference and Control
… from bad dimensional scaling: they require an orthogonal basis of the function space, which can often be obtained as a product of one-dimensional basis functions. This leads to the number of parameters growing exponentially in the dimension $d$ of the function domain. The trace-class neural …
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Stochastic methods for uncertainty quantification in radiation transport
… random processes in terms of an expansion of orthogonal polynomials of random variables. The KL expansion is a Fourier-type expansion that represents a second-order random process with known covariance function in terms of a set of uncorrelated random variables and the eigenmodes of the …
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