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 24 for “"unit sphere"”.
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Approximation and Integration on Compact Subsets of Euclidean Space
… projections are considered with respect to the unit sphere. An example of distributing points equally on a sphere is illustrated and a covering theorem for a unit sphere is proved.
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Mutual Information of Two Distant Spheres and Expressions for Entropy in Nearly Conformal Gaussian Field Theories
… to compute the mutual information of two distant spheres in a massless scalar field and find that the lowest order term agrees with existing results found with other methods. We also use our method to compute the entropy difference of massless scalar fields thermalized at a low temperature on the …
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Determining Three-Dimensional Motion and Structure of a Rigid Body Using Point and Straight Line Correspondences (Stereo, Graphics, Vector)
… to be determined are a 3D rotation and unit translation. Object structure can be determined as a map of relative depths of 3D points/lines. From point correspondences (PCs) and line correspondences (LCs) (which are assumed to be given), equations in terms of the 3D motion parameters are …
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Spherical Image Processing for Immersive Visualisation and View Generation
… the surrounding environment is modelled by a unit sphere mapped with the spherical image and the user is then allowed to navigate within the modelled scene. For visualisation based on two spherical images, a view generation algorithm is developed for modelling an indoor manmade environment and …
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Design and analysis of spherical codes
… of points on the surface of a multidimensional unit radius sphere. This thesis gives two constructions for large spherical codes that may be used for channel coding and for source coding. The first construction ""wraps"" a finite subset of any sphere packing onto the unit sphere in one higher …
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The narrow escape problem : a matched asymptotic expansion approach
… We present findings in two dimensions for the unit disk, unit square and ellipse and in three dimensions for the unit sphere. The narrow escape problem has various applications in many fields including finance, biology, and statistical mechanics.
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Hysteresis phenomena of ferromagnetic bodies using the nonlocal exchange energy model
… First, we examine analytically the problem of a unit sphere of ferromagnetic material. We show that when the exchange energy is zero we duplicate De Simone's model which has a wide range of measure-valued minimizers. As the exchange energy grows our model stabilizes at the saturated solutions of …
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CLASSIFICATION RESULTS FOR SEMILINEAR ELLIPTIC EQUATIONS
… analyzing how it depends on the domain D on the unit sphere which spans the cone. In particular, it is proved that the Neumann eigenvalues of the Laplace Beltrami operator on D play a role in computing the Morse index. The second one is about a similar breaking of symmetry result, obtained for …
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Convergence Rates of Spectral Distribution of Random Inner Product Kernel Matrices
… the second part, random geometric graphs on the unit sphere are considered. Observing that adjacency matrices of these graphs can be thought of as random inner product matrices, we are able to use an idea of Cheng-Singer to establish the limiting for the ESD of these adjacency matrices.
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Slice sampling on Riemannian manifolds
… First for distributions on the Euclidean unit sphere, and then for distributions on general Riemannian manifolds we introduce a geodesic-based hybrid slice sampler, called geodesic slice sampler. Under mild regularity assumptions, we establish reversibility with respect to the target …
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Throughput and complexity tradeoffs in the multi-antenna downlink
… multi-antenna channel as a random packing of the unit sphere. As such, we provide refined estimates on the content of spherical caps so that they can be applied as a model for interference. We then employ recent developments in the area of random geometric graph theory to characterize the …
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Sparse separation of sources in 3D soundscapes
… map to operate on the surface of a unit sphere. It is concluded that the separation algorithm presented is effective for soundscapes comprising ecological or zoological sources. Specific areas for further work are recog- nised, both in terms of isolated technologies and towards the …
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On the Integrability of Derivatives of Holomorphic and M-Subharmonic Inner Functions In the Unit Ball of Cn
<p>Let Bn be the unit ball in Cn. If f is a bounded holomorphic function, we say that f is inner provided that its modulus has a radial limit of 1 almost everywhere on Sn where Sn is the unit sphere.</p> <p>If a > -1 and p > 0 then Apa denotes the weighted Bergman space of all holomorphic functions …
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A projective approach to computer-aided drawing
… is based on points that lie on the surface of a unit sphere centered at the viewpoint. It allows drawings to be composed with the same ease as traditional illustrations, while providing many of the advantages of a three-dimensional model. I describe a range of user-interface tools and interaction …
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Vertex algebras generated by primary fields of low conformal weight
… subgroups of SON acting transitively on the unit sphere. The solution is given by the following list ... However, if one removes the assumption of existence of quasi-classical limit, the above argument fails and the problem of classification has to be studied using different techniques. In …
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Orientation-based representations of shape and attitude determination
… properties as a function of position on the unit sphere. All orientation-based representations considered share a desirable property: the representation of a rotated object is equal to the rotated representation of the object before rotation. This makes the orientation-based representations …
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Multichannel source separation and tracking with phase differences by random sample consensus
… proposed that track source DOAs directly on the unit circle and unit sphere, respectively. These algorithms combine directional statistics, Bayesian filtering theory, and probabilistic data association techniques to track the speakers with mixtures of directional distributions.
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Automatic generation of interference-free geometric models of spatial mechanisms
… attachment piece for the ball are mapped onto a unit sphere in the reference frame of the cup. The axis of a bounding cone is then used to align the attachment piece for the cup. The method minimizes the chances for collisions between the cup and the ball attachment piece. Elements which attach …
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1. ΕΠΙΦΑΝΕΙΕΣ ΜΕ ΙΣΟΜΕΤΡΙΚΕΣ ΣΚΙΟΓΡΑΜΜΕΣ 2. ΕΠΙΦΑΝΕΙΕΣ ΜΕ ΙΣΟΜΕΤΡΙΚΕΣ ΓΕΩΔΑΙΣΙΑΚΕΣ
… WORK A NEW CHARACTERIZATION OF A 2-DIMENSIONAL SPHERE IN TERMS OF ITS SHADOW-LINES OR GEODESICS, IS GIVEN, CONTAINED IN WHAT WE HEREAFTER CALL THEOREMA AND B. THEOREM A: LET M BE A COMPACT AND STRICTLY CONVEX SURFACE EMBEDDED INTHE EUCLIDEAN SPACE E3 OR IN THE HYPERBOLIC SPACE H3. WE SUPPOSE …
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Spatio–temporal analysis of changes of shape for constituent bodies within biomolecular aggregates
… holes, folded layers etc. within and on the unit sphere. The method has traditionally been used to describe the shape of enzymes in a static time-independent manner. This approach is extended to give results based on the thermally-driven motion of atoms in molecules about their equilibrium …
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