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Curvelets and Wave Atoms for Mirror-Extended Images
Curvelets Wave Atoms Mirror-Extended Images
2015/7/15
We present variants of both the digital curvelet transform, and the digital wave atom transform, which handle the image boundaries by mirror extension. Previous versions of these transforms treated im...
FAST DISCRETE CURVELET TRANSFORMS
two-dimensional and three-dimensional curvelet transforms fast Fourier transforms unequally spaced fast Fourier transforms smooth partitioning interpolation digital shear filtering wrapping
2015/7/14
This paper describes two digital implementations of a new mathematical transform, namely, the second generation curvelet transform in two and three dimensions. The first digital transformation is base...
In the study of the geometry of curves on surfaces, the following
question often arises: given a one-parameter family of divisors over a pointed
curve, what does the central ber look like after sta...
考虑病菌的群体感应机理建立了一类人体免疫细胞与病菌竞争的时滞微观动力学模型, 并综合运用Liapunov 稳定性理论、中心流形定理及规范型理论等, 讨论了无菌平衡点的局部及全局渐近稳定性, 正平衡点的存在性、全局渐近稳定性无菌平衡点在奇异条件下的稳定性.
多等级交通流LWR模型的双曲性
双曲守恒律 多等级交通流 LWR模型 双曲性
2011/10/18
本文基于一阶双曲守恒律的相关理论研究了多等级交通流LWR模型，给出了该模型双曲性的数学证明。
Transitions in active rotator systems: invariant hyperbolic manifold approach
Active rotator model Coupled excitable systems Interacting diffusions FokkerPlanck PDE Normally hyperbolic manifolds Pulsating waves
2011/7/7
Our main focus is on a general class of active rotators with mean field interactions, that is globally coupled large families of dynamical systems on the unit circle with non-trivial stochastic dynami...
Warped product Einstein metrics over spaces with constant scalar curvature
Warped product Einstein metrics spaces constant scalar curvature
2011/2/21
In this paper we study warped product Einstein metrics over spaces with constant scalar curvature. We call such a manifold rigid if the universal cover of the base is Einstein or is isometric to a pro...
Moebius structures and Ptolemy spaces: boundary at infinity of complex hyperbolic spaces
Moebius structures Ptolemy spaces boundary at infinity of complex hyperbolic spaces
2011/1/19
The paper initiates a systematic study of M¨obius structures and Ptolemy spaces. We conjecture that every compact Ptolemy space with circles and many space inversions is M¨obius equivalent to the boun...
Asymptotics of visibility in the hyperbolic plane
Boolean model hyperbolic geometry visibility Poincar´ e disc
2011/2/25
At each point of a Poisson point process of intensity in the hyperbolic place, center a ball of bounded random radius. Consider the probability Pr that from a fixed point, there is some direction in...
The Plateau problem for polygonal boundary curves in Minkowski 3-space
maximal immersions with singularities integrable systems
2011/2/21
We apply Garnier’s method to solve the Plateau problem for maximal surfaces in Minkowski 3-space. Our study relies on the improved version we gave in [4] of Garnier’s resolution [12] of the Plateau pr...
We study the notion of singular tropical hypersurfaces of any dimension. We characterize the singular points in terms of tropical Euler derivatives and we give an algorithm to compute all singular poi...
We prove that the Chow quotient parametrizing configurations of n points in Pd which generically lie on a rational normal curve is isomorphic to M0,n, generalizing the well-known d = 1 result of Kapra...
Knuth-Bendix algorithm and the conjugacy problems in monoids
Knuth-Bendix algorithm conjugacy problems monoids
2011/2/21
We present an algorithmic approach to the conjugacy problems in monoids, using rewriting systems. We extend the classical theory of rewriting developed by Knuth and Bendix to a rewriting that takes in...
Doubling and Desingularization Constructions for Minimal Surfaces
Differential geometry minimal surfaces partial differential equations
2011/2/28
In the first part of the paper we discuss the current status of the application of the gluing methodology to doubling and desingularization constructions for minimal surfaces in Riemannian three-manif...
This is the first in a projected series of three papers in which we construct the second flip in the log minimal model program for Mg. We introduce the notion of a weakly proper algebraic stack.