2 Discretisation of Functions on the Sphere for High Resolu - tion Applications : a Motivation for HEALPix

HEALPix — a Framework for High Resolution Discretization, and Fast Analysis of Data Distributed on the Sphere

HEALPix – the Hierarchical Equal Area iso-Latitude Pixelization – is a versatile data structure with an associated library of computational algorithms and visualization software that supports fast scientific applications executable directly on very large volumes of astronomical data and large area surveys in the form of discretized spherical maps. Originally developed to address the data proces...

A multi-resolution HEALPix data structure for spherically mapped point data

Data describing entities with locations that are points on a sphere are described as spherically mapped. Several data structures designed for spherically mapped data have been developed. One of them, known as Hierarchical Equal Area iso-Latitude Pixelization (HEALPix), partitions the sphere into twelve diamond-shaped equal-area base cells and then recursively subdivides each cell into four diam...

A New 3D Shape Retrieval Method Using Spherical Healpix

Rapidly spreading 3D shape applications have led to the development of content-based 3D shape retrieval research. In this paper, we propose a new retrieval method using Spherical Healpix. Spherical Healpix is a new framework for efficient discretization and fast analysis or synthesis of functions defined on the sphere. We analyzed the construction process of this structure and defined a new Sph...

New uniform grids on the sphere

Aims. A method for constructing new uniform grids on the sphere is given. Methods. We define a bijection in R2, which maps squares onto discs and preserves areas. Then we use this bijection, combined with Lambert azimuthal projection, for lifting uniform grids from the square to the sphere. Results. We can obtain uniform spherical grids that allow a hierarchical data manipulation and have an is...

The Fluorescence Excitation Spectra of Anisole and Styrene Using High Resolu- Tion Techniques