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 14 of 14 for “"Orthogonal projections"”.
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Generation of Orthogonal Projections from Sparse Camera Arrays
… when standing at a different viewpoint. If an orthogonal projection is used, there will be no perspective distortion, and the image will look correct no matter where the viewer stands. As a first step in creating this videoconferencing system, we use stereo matching to find the real world …
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The restricted projection problems
… family of planes. In this thesis, I study the orthogonal projections of any set 𝐴 ⊂ R³ onto these restricted family of lines or planes.
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The Study of Binary Steering Algorithms in Discrete Tomography
… (ART), Cimmino (CIM), and Diagonally-Relaxed Orthogonal Projections (DROP) algorithms. These reconstruction algorithms will be transformed into binary reconstruction algorithms through the binary steering technique. A new binary steering technique was developed to improve the convergence of …
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Row Projection Methods for Linear Systems
… systems of equations are algorithms that require orthogonal projections onto the set of solutions of subsets of the equations. RP methods are categorized and their convergence properties summarized and extended. An implementation approach is presented for nonsymmetric matrices arising from the …
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The Reconstruction of Binary Images in Discrete Tomography by Using the Binary Steering Scheme
… binary steering scheme to the block-iterative projections methods for solving an underdetermined linear system Ax = b. Three algorithms: Algebraic Reconstruction Technique (ART) Algorithm, Cimmino's Algorithm (CIM) with Equal Weights Algorithm and Fully-Simultaneous Diagonally-Relaxed …
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Smooth Projections and Optimally Sparse Representation of Cartoon-like Cylindrical Solids
… we explore two mathematical structures: projections and sparse representations. Projections are self-adjoint and idempotent linear operators that can be used to decompose a function space into smaller components thus making it easier to analyze. First, we extend the construction of smooth …
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Kelvin-Helmholtz Instability in Magnetized Plasma
… distances from the target and measured three orthogonal projections of a self-generated magnetic field found in the expanding plasma.
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3D Reconstruction of Tubular Structures Using MRI Projection Images
… of the structures and different numbers of projections. Second, triplanar projection imaging was evaluated on a phantom filled with a T1-shortening, Gd-based contrast agent embedded into a lipid matrix. The object is reconstructed from three mutually orthogonal projections of the volume that …
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Restricted projection families and weighted Fourier restriction
… of $A$ onto the 2-dimensional plane orthogonal to $\frac{1}{\sqrt{2}}(\cos \theta, \sin \theta, 1)$ satisfies \[ \dim \pi_{\theta}(A) \geq \min\left\{\frac{4\dim A}{9} + \frac{5}{6},2 \right\}. \] This improves the bound of Oberlin and Oberlin \cite{oberlin}, and of Orponen and …
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Higher-Dimensional Analogues of Two Theorems of Orponen on Exceptional Sets
… let $\pi_V : \mathbb{R}^n \to V$ be the orthogonal projection of $\mathbb{R}^n$ onto $V$. \textit{Marstrand's projection theorem} states that $\dim_{\mathrm H} \pi_V(A) = \min \, \{s,m\}$ for almost every $V \in \mathbf{Gr}(n,m)$, and \textit{Marstrand's slicing theorem} states that the …
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Robust Implementations of the Multistage Wiener Filter
… performs a stage-by-stage decomposition based on orthogonal projections. Truncation of this decomposition produces a reduced rank filter with many benefits, for example, improved performance. This dissertation extends knowledge of the MWF in four areas. The first area is rank and sample support …
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A Mathematical Discussion of Corotational Finite Element Modeling
… into finite elements, each with an orthogonal frame rotating (and translating) with the element. Such methods are well suited to deformations where non-linearity arises from rigid body deformation but local strains are small (1-4%) and so suited to linear analysis. This thesis …
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The use of hair detect (and monitor) chronic hyperglycaemia
… with diabetes. Results and discussion: The Orthogonal Projections to Latent Structures Discriminant Analysis (OPLS-DA) models between spectra obtained from hair of diabetic participants and spectraobtained from control hair show good separation and predictive ability. When ATR-FTIR spectra …
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The Use of Hair Cortisol as a Biomarker of Chronic Stress in Patients with a recent Acute Myocardial Infarction
… FTIR data Principal Component Analysis (PCA), Orthogonal Projections to Latent Structures Discriminant Analysis (OPLS-DA) and Partial Least Squares (PLS) models were used to compare groups. Results Of the intended sample size of 75, 64 participants (48 acute MI cases and 16 healthy controls) …