Emerging multimedia content including images and texts are always jointly utilized to describe the same semantics. As a result, crossmedia retrieval becomes increasingly important, which is able to retrieve the results of the same semantics with the query but with different media types. In this paper, we propose a novel heterogeneous similarity measure with nearest neighbors (HSNN). Unlike trad...

The scalar wave inverse source problem (ISP) is investigated for the case where the source is embedded in a non-homogeneous medium with known index of refraction proÞle n(r). It is shown that the solution to the ISP having minimum energy (so-called minimum energy source) can be obtained via a simple method of constrained optimization. This method is applied to the special case when the non-homo...

We consider electromagnetic waves propagating in a periodic medium characterized by two small scales. We perform the corresponding homogenization process, relying on the modelling by Maxwell’s partial differential equations. Key wordsMaxwell’s equations, Homogenization, two-scale convergence, oscillating test functions. (MSC)-2000: 35Q60, 35B27 [email protected] hassan.taha@labo...

Despite their numerous applications, efficiently rendering participating media remains a challenging task due to the intricacy of the radiative transport equation. As they provide a generic means of solving a wide variety of problems, numerical methods are most often used to solve the air-light integral even under simplifying assumptions. In this paper, we present a novel analytical approach to...

In this report, we introduce a model based on geometrical optics which describes the propagation of light in homogeneous uniaxially anisotropic media. We call this model the OpIn model. A ray-tracing algorithm based on the OpIn model is also introduced. Results from a test case obtained by the OpIn model are compared with results from the commercial ray-tracing program ASAP. It appears that res...

We consider electromagnetic media that consist of a homogeneous (constant coefficient) electromagnetic material with a finite number of small dielectric imperfections. For such media, we provide a rigorous derivation of asymptotic formulas for perturbations in the eigenfrequencies of the full Maxwell equations caused by the presence of the dielectric imperfections.

In this paper we show how bidirectional path tracing can be extended to handle global illumination effects due to participating media. The resulting image-based algorithm is computationally expensive but more versatile than previous solutions. It correctly handles multiple scattering in non-homogeneous, anisotropic media in complex illumination situations. We illustrate its specific advantages ...

A widely held viewpoint in optics, namely, that dynamic magnetic effects are extremely weak at optical frequencies, is re-examined. Nonlinear charge motion induced by the optical magnetic field in dielectric systems is analyzed, is predicted to be resonantly enhanced, and is observed experimentally in CCl4, C6H6, and H2O at the fundamental input frequency. Excellent agreement is obtained with a...