Spherical harmonic cross-correlation is a robust registration technique that uses the normals of two overlapping point clouds to bring them into coarse rotational alignment. This registration technique however has a high computational cost as spherical harmonics need to be calculated for every normal. By binning the normals, the computational efficiency is improved as the spherical harmonics ca...

Spherical harmonic descriptors are frequently used for describing threedimensional shapes in terms of Fourier coefficients corresponding to an expansion of a function defined on the unit sphere. In a recent paper Dette, Melas and Pepelysheff (2005) determined optimal designs with respect to Kiefer’s Φp-criteria for regression models derived from a truncated Fourier series. In particular it was ...

Email: [email protected] [email protected] References Simulating global illumination demands for solving the lighting integral of a surface point. Ambient Occlusion (AO): pro: appealing approximation of local occlusion con: no directional information (static gray shadows) Screen Space Directional Occlusion (SSDO) [Ritschel09]: pro: combination of occlusion sampling a...

This paper describes a method for rendering interreflections, self-induced shadows and caustics in real-time in a general low-frequency lighting environment. The method handles environment and area lighting and glossy as well as diffuse objects. The lighting environment is projected onto a lowfrequency spherical harmonic basis. Before the rendering a transfer vector (diffuse case) or a transfer...

The spherical harmonic (SPHARM) description is a powerful surface modeling technique used by many applications in biomedical imaging. However, earlier SPHARM studies employ a spherical parameterization procedure that can be applied only to voxel surfaces. This paper presents CALD, a new spherical parameterization algorithm that makes the SPHARM model applicable to general triangle meshes. The C...

The Helmholtz equation arises in the study of electromagnetic radiation, optics, acoustics, etc. In spherical coordinates, its general solution can be written as a spherical harmonic series which satisfies the radiation condition at infinity, ensuring that the wave is outgoing. The boundary condition at infinity is hard to enforce with a finite element method since a suitable approximation need...