منابع مشابه
The near Field Refractor
We present an abstract method in the setting of compact metric spaces which is applied to solve a number of problems in geometric optics. In particular, we solve the one source near field refraction problem. That is, we construct surfaces separating two homogenous media with different refractive indices that refract radiation emanating from the origin into a target domain contained in an n − 1 ...
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Let n1 and n2 be the indexes of refraction of two homogeneous and isotropic media I and II, respectively. Suppose that from a point O inside medium I light emanates with intensity f (x) for x ∈ Ω . We want to construct a refracting surface R parameterized as R = {ρ(x)x : x ∈ Ω}, separating media I and II, and such that all rays refracted by R into medium II have directions in Ω∗ and the prescri...
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The problem considered in this paper is the following. Suppose we have a domain Ω ⊂ Rn−1 and a domain Σ contained in an n − 1 dimensional surface in Rn; Σ is referred to as the target domain or screen to be illuminated (for the practical application, one can think that n = 3). Let n1 and n2 be the indexes of refraction of two homogeneous and isotropic media I and II, respectively, and suppose t...
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In this paper we introduce Refractor Importance Sampling (RIS), an improvement to reduce error variance in Bayesian network importance sampling propagation under evidential reasoning. We prove the existence of a collection of importance functions that are close to the optimal importance function under evidential reasoning. Based on this theoretic result we derive the RIS algorithm. RIS approach...
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ژورنال
عنوان ژورنال: Annales de l'Institut Henri Poincaré C, Analyse non linéaire
سال: 2014
ISSN: 0294-1449
DOI: 10.1016/j.anihpc.2013.07.001