TABLE OF CONTENTS

• TABLE OF CONTENTS
• Introduction
• Discretisation of Functions on the Sphere for High Resolution Applications: a Motivation for HEALPix
• Geometric and Algebraic Properties of HEALPix
  • RING and NESTED numbering schemes
  • The Unique Identifier scheme
  
  
• The HEALPix Software Package
  • Contents and purposes
  • Licensing
  
  
• HEALPix conventions
  • Angular power spectrum conventions
  • HEALPix and Boltzmann codes
    • CMBFAST
    • CAMB and CLASS
  • Polarisation convention
    • Internal convention
    • Relation to previous releases
    • Relation with IAU convention
    • How HEALPix deals with these discrepancies: POLCCONV keyword
  • Spherical harmonic conventions
  
  
• Pixel window functions
• A Comment on the Random Number Generator
• Finite precision and cross-platform reproducibility
• Bibliography