History

Proposed coordinate systems

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Cartesian Coordinate Systems

1. Mathematical System: (Navigational)

  • right-handed system, y to the front, x to the right, z to the top


adapted from: Bronstein, Semendjajew, Musiol, Mühlig: Taschenbuch der Mathematik

2. Shifted Mathematical System: (Acoustical)

  • right-handed system, x to the front, y to the left, z to the top
  • Blauert System in cart. coordinates,

3. OpenGL, OpenAL System

  • right-handend system, x-axis to the right, y to the top, z to the back

Spherical Coordinate Systems

1. Mathematical System:

  • azimuth: zero to the right hand-side, counter-clockwise increase
  • elevation: angle starts from the positive z-axis


adapted from: Bronstein, Semendjajew, Musiol, Mühlig: Taschenbuch der Mathematik

2. Navigational system:

  • azimuth: 0 degree in the front, clockwise increase
  • elevation: angle is defined between -90.0 (below) and 90.0 degree (above), 0 degree means no elevation


adapted from: Blauert, J. (1997). Spatial hearing: the psychophysics of human sound localization. MIT Press, Cambridge, Mass., rev. edition. p. 14

3. Blauert / Gerzon System:

  • azimuth: 0 degree in the front, counter-clockwise increase
  • elevation: as in Navigational system


adapted from: Blauert, J. (1997). Spatial hearing: the psychophysics of human sound localization. MIT Press, Cambridge, Mass., rev. edition. p. 41

What systems should be included in SpatDIF ?

VOTE HERE FOR YOUR FAVORITE COORDINATE SYSTEM