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Showing 1 to 19 of 19 for “"orthogonal projection"”.
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Generation of Orthogonal Projections from Sparse Camera Arrays
… at the middle of the screen. Any perspective projection used in this system will look distorted 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 …
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Regularity of the Bergman Projection on Variants of the Hartogs Triangle
The Bergman projection is the orthogonal projection from the space of square integrable functions onto the space of square integrable holomorphic functions on a domain. Initially, the projection is defined on the L2 space, but its behavior on other function spaces, e.g. Lp, Sobolev and Holder …
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Ricketts Analysis Using Conventional and DolphinTM Generated CBCT Lateral Cephs
… and DolphinTM generated perspective and orthogonal lateral cephalograms from CBCT (NewTom 5G; QR srl, Verona, Italy). Materials and Methods: A Sirona digital lateral cephalogram and DophinTM synthesized CBCT lateral cephalograms of a radiographic phantom in orthogonal and perspective …
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Integer and Matrix Optimization: A Nonlinear Approach
… with a linear constraint tr(Y) ≤ k for an orthogonal projection matrix Y (meaning Y²=Y). Under this lens, we show that regularization drives the computational tractability of problems with both logical and rank constraints. The first three chapters propose a unified framework to address a …
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Krylov Projection Methods for Model Reduction
… models for large, linear dynamic systems. Projections onto unions of Krylov subspaces lead to a class of reduced-order models known as rational interpolants. The cornerstone of this dissertation is a collection of theory relating Krylov projection to rational interpolation. Based on this …
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The Szego Kernel for Non-Pseudoconvex Domains in C<sup>2</sup>
… boundary ∂Ω. There are two closely related projections that are of particular interest. The <em>Bergman projection</em> <strong><em>B</em></strong> is the orthogonal projection of L<sup>2</sup>(Ω) onto the closed subspace L<sup>2</sup>(Ω)∩O(Ω), where O(Ω)is the space of all holomorphic …
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The Szego Kernel for Non-Pseudoconvex Domains in C<sup>2</sup>
… boundary ∂Ω. There are two closely related projections that are of particular interest. The <em>Bergman projection</em> <strong><em>B</em></strong> is the orthogonal projection of L<sup>2</sup>(Ω) onto the closed subspace L<sup>2</sup>(Ω)∩O(Ω), where O(Ω)is the space of all holomorphic …
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Model order reduction in the frequency domain via spectral proper orthogonal decomposition
… we emphasize the usage of spectral proper orthogonal decomposition (SPOD), recently revived by Towne et. al. (2018), which results in sets of orthogonal modes, each oscillating at a single frequency, that are said to optimally represent coherent-structures evolving in space and time. …
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The number of facets of a projection of a convex polytope
Let $\pi$ be orthogonal projection of $\IR\sp{d}$ onto a hyperplane and let P be a d-polytope in $\IR\sp{d}$. The following relations hold on the numbers of facets $f\sb{d-1}(P)$ of P and $f\sb{d-2}(\pi(P))$ of $\pi(P)$:$$\eqalign{f\sb2(P)&\ge{1\over2}f\sb1(\pi(P))+2\ {\rm if}\ d=3,\cr …
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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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Metabolomic comparison of selected Helichrysum species to predict their antiviral properties
… Analysis (PCA) but did separate well using the Orthogonal Projection to Latent Structure – Discriminate Analysis (OPLS-DA) on the basis of their activity and NMR spectra data. From the OPLS scoring plots analysis, contribution plots were created which indicated regions responsible for the …
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Architectural practice and the planning of minor palaces in Renaissance Italy, 1510-1570
… mastering of new instruments of representation (orthogonal projection, perspective, sketches) were added to the usual technical and artistic skills required of an architect. The dissertation focus on how architects define a planning procedure to cope with the new set of circumstances related to …
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Orthogonalität und beste Approximation
… In combination with the ability to compute orthogonal projections by means of the inner product known from analytic geometry, this insight can be generalized and put to good use far beyond the boundaries of concrete geometry. While perpendicular lines are relevant only in two or three …
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A Study on Deep Learning: Training, Models and Applications
… proposes to apply a novel model, namely Hybrid Orthogonal Projection and Estimation (HOPE), to CNNs. HOPE can be viewed as a hybrid model to combine feature extraction with mixture models. The experimental results have shown that HOPE layers can significantly improve the performance of CNNs in …
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A reduced order systems approach to prediction of emergent behaviors of biological systems
… state equation to latent space representation by orthogonal projection onto the basis defined within the lower dimensional linear manifold. While the resultant latent state equation is linear, complex nonlinearities are embedded in the compact model, leading to precise and global linearization of …
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La Metabolomica: una nuova era in Cardiologia. Le nostre esperienze originali nei campi dell' insufficienza cardiaca, della cardiopatia ischemica e dell' ipertensione polmonare
… a 1HNMR 500MHz spectrometer. A supervised PLS-DA Projection on Latent Structures Discriminant Analysis was applied to realize a descriptive model of HF. Morevoer, we carried out an echocardiographic evaluation of whole study population, including an assessment of Longitudinal Strain (S) and Strain …
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The design and prototyping of a Transcatheter Aortic Valve Implantation training system specific for aortic valve regurgitation.
… procedure. After determining the optimal orthogonal projection of the aortic root using fluoroscopy and following the right cusps rule, each trunk is positioned in an aortic leaflet cusp to keep relative motion between the delivery device and the heart, and to locate the valve axially and …
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Phytochemical, biological and toxicity studies of terminalia sericea burch. (Combretaceae)
… subsequently assigned to the samples, and an orthogonal projection to latent structures-discriminant analysis (OPLS-DA) model was then constructed, (R2 cum = 0.996 and Q2 cum = 0.967). The corresponding loadings plot allowed sericic acid, sericoside and resveratrol-3-rutinoside to be …