Results 21 to 30 of about 73,738 (309)
On some differential-geometric aspects of the Torelli map [PDF]
In this note we survey recent results on the extrinsic geometry of the Jacobian locus inside $\mathsf{A}_g$. We describe the second fundamental form of the Torelli map as a multiplication map, recall the relation between totally geodesic subvarieties and
A Mohajer +24 more
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(1,1)-geodesic maps into grassmann manifolds
Let \(M\) be a Kähler manifold, \(D\) be the Levi-Civita connection extended complex-linearly to the complexification of the tangent bundle, \(N\) be a Riemannian manifold, and \(\varphi:M\to N\) be a smooth map. The Hessian \(Dd\varphi\) may be decomposed to \((2,0)\), \((1,1)\), \((0,2)\) parts. The map \(\varphi\) is called pluriharmonic if its \((1,
Tribuzy, R., Eschenburg, J.-H.
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Geodesics in Brownian surfaces (Brownian maps) [PDF]
We define a class a metric spaces we call Brownian surfaces, arising as the scaling limits of random maps on general orientable surfaces with a boundary and we study the geodesics from a uniformly chosen random point. These metric spaces generalize the well-known Brownian map and our results generalize the properties shown by Le Gall on geodesics in ...
Jérémie Bettinelli
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A FUZZY AUTOMATIC CAR DETECTION METHOD BASED ON HIGH RESOLUTION SATELLITE IMAGERY AND GEODESIC MORPHOLOGY [PDF]
Automatic car detection and recognition from aerial and satellite images is mostly practiced for the purpose of easy and fast traffic monitoring in cities and rural areas where direct approaches are proved to be costly and inefficient.
N. Zarrinpanjeh, F. Dadrassjavan
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Let M be a hyperbolic 3-manifold with nonempty totally geodesic boundary. We prove that there are upper and lower bounds on the diameter of the skinning map of M that depend only on the volume of the hyperbolic structure with totally geodesic boundary ...
Kent Iv, Richard Peabody
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Geodesic and contour optimization using conformal mapping [PDF]
We propose a novel optimization algorithm for continuous functions using geodesics and contours under conformal mapping.The algorithm can find multiple optima by first following a geodesic curve to a local optimum then traveling to the next search area by following a contour curve. To improve the efficiency, Newton-Raphson algorithm is also employed in
Fok, Ricky, An, Aijun, Wang, Xiaogong
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An adaptive Markov chain algorithm applied over map-matching of vehicle trip GPS data
Markov chains have frequently been applied to match the probable routes with a set of GPS trip data that a pilot vehicle is emitting over a specific graph road network.
Bilge Kaan Karamete +2 more
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Part-to-full shape matching of different human subjects
Shape matching is a fundamental operation in digital geometry processing and computer graphics. Challenges in shape matching include finding correspondences of partial shapes with deformations, as well as topological noise and ambiguities.
Panjawee Rakprayoon +3 more
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We generalize wave maps to biwave maps. We prove that the composition of a biwave map and a totally geodesic map is a biwave map. We give examples of biwave nonwave maps.
Yuan-Jen Chiang
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Characterization of curves that lie on a geodesic sphere or on a totally geodesic hypersurface in a hyperbolic space or in a sphere [PDF]
The consideration of the so-called rotation minimizing frames allows for a simple and elegant characterization of plane and spherical curves in Euclidean space via a linear equation relating the coefficients that dictate the frame motion.
da Silva, José Deibsom +1 more
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