Hyper-redundant robots have a large or infinite number of degrees of freedom. Such robots are analogous to snakes or tentacles and are useful for operation in highly constrained environments and novel forms of locomotion. This paper reviews newly developed methods for the kinematic analysis of hyper-redundant manipulators. These methods can be applied to a wide variety of hyper-redundant morpho...

Combining the advantages of a low-degree polynomial surface representation with Gauss' divergence theorem allows efficient and exact calculation of the moments of objects enclosed by a free-form surface. Volume, center of mass and the inertia tensor can be computed in seconds even for complex objects with 105 patches while changes due to local modification of the surface geometry can be compute...

<p style='text-indent:20px;'>Unique identifiability by finitely many far-field measurements in the inverse scattering theory is a highly challenging fundamental mathematical topic. In this paper, we survey some recent progress on obstacle problems and medium associated with time-harmonic waves within certain polyhedral geometry, where one can establish unique results measurements. Some is...

This paper presents an adjoint method for the calculation of remote sensitivities in supersonic flow. The goal is to develop a set of adjoint equations and their corresponding boundary conditions in order to quantify the influence of geometry modifications on the pressure distribution at an arbitrary location within the domain of interest. First, this paper presents the formulation and discreti...

The design of photonic devices is usually done through analytical modeling or variation in geometry and material parameters to obtain the required functionalities. Here, we report use topology optimization a bi-focal lens that concentrates electromagnetic field at different spatial positions depending on wavelength. Numerical inverse carried out permittivity layout, satisfying this objective. r...

This paper provides auxiliary results for our general scheme of computed tomography. In 3D parallel-beam geometry, we first demonstrate that the inverse Fourier transform in different coordinate systems leads to different reconstruction formulas and explain why the Radon formula cannot directly work with truncated projection data. Also, we introduce a gamma coordinate system, analyze its proper...

In the present paper we study the geometric structure of the inverse Gamma manifold from the viewpoint of information geometry and give the Kullback divergence, the J-divergence and the geodesic equations. Also, some applications of the inverse Gamma distribution are provided.