The first part of this paper presented a signal-processing framework for analyzing the reflected light field from a homogeneous convex curved surface under distant illumination. The notion of reflection as convolution was formalized, with a quantitative analysis of the reflected light field as obtained by a spherical convolution of the incident illumination and the BRDF. In this part of the pap...

This thesis investigates the theory and design of recording the spherical harmonic components of an arbitrary three-dimensional sound field. The approach taken is based on capturing the spherical harmonic components using a spherical microphone. This choice led to the investigation of various design issues including the inherent limitations of the spherical microphone, discretization of the the...

This study demonstrates that in mountainous areas the use of residual terrain model (RTM) data significantly improves the accuracy of vertical deflections obtained from high-degree spherical harmonic synthesis. The new Earth gravitational model EGM2008 is used to compute vertical deflections up to a spherical harmonic degree of 2160. RTM data can be constructed as difference between high-resolu...

With the modern transistor size shrinking below 45 nm the classical drift-diffusion model to describe transport in the conducting channel is loosing its validity. In short-channel devices carriers get accelerated by the driving field and do not thermalize before they reach the drain contact. Thus, the assumption underlying the classical transport model, that the driving electric field produces ...

The spherical harmonic (SPHARM) description is a powerful surface modeling technique that can model arbitrarily shaped but simply connected 3D objects and has been used in many applications in medical imaging. Previous SPHARM techniques use the first order ellipsoid for establishing surface correspondence and aligning objects. However, this first order information may not be sufficient in many ...

In geodesy and geophysics, spherical-harmonic techniques are popular for modelling to7 pography and potential fields with ever-increasing spatial resolution. For ultra-high degree spherical 8 harmonic modelling, i.e. degree 10000 or more, classical algorithms need to be extended to avoid 9 underor overflow problems associated with the computation of Associated Legendre Functions 10 (ALFs). In t...

Spherical Harmonic Transforms (SHTs) which are essentially Fourier transforms on the sphere are critical in global geopotential and related applications. Among the best known strategies for discrete SHTs are Chebychev quadratures and least squares. The numerical evaluation of the Legendre functions are especially challenging for very high degrees and orders which are required for advanced geoco...