# Proposed coordinate systems¶

**VOTE HERE**** FOR YOUR FAVORITE COORDINATE SYSTEM**

# 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**