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+A Pd port of the VBAP object for Max/MSP by Ville Pulkki
+
+http://www.acoustics.hut.fi/research/cat/vbap/
+
+ This is a library for Pure Data for sound spatialization using the
+ vector base amplitude panning (VBAP) method.  VBAP is an amplitude
+ panning method to position virtual sources in arbitrary 2-D or 3-D
+ loudspeaker setups. In amplitude panning the same sound signal is
+ applied to a number of loudspeakers with appropriate non-zero
+ amplitudes. With 2-D setups VBAP is a reformulation of the existing
+ pair-wise panning method. However, differing from earlier solutions
+ it can be generalized for 3-D loudspeaker setups as a triplet-wise
+ panning method. A sound signal is then applied to one, two, or three
+ loudspeakers simultaneously. VBAP has certain advantages compared to
+ earlier virtual source positioning methods in arbitrary
+ layouts. Previous methods either used all loudspeakers to produce
+ virtual sources, which results in some artefacts, or they used
+ loudspeaker triplets with a non-generalizable 2-D user interface.
+
+ The directional qualities of virtual sources generated with VBAP can
+ be stated as follows. Directional coordinates used for this purpose
+ are the angle between a position vector and the median plane (θcc),
+ and the angle between a projection of a position vector to the median
+ plane and frontal direction (Φcc). The perceived θcc direction of a
+ virtual source coincides well with the VBAP panning direction when a
+ loudspeaker set is near the median plane. When the loudspeaker set is
+ moved towards a side of a listener, the perceived θcc direction is
+ biased towards the median plane. The perceived Φcc direction of an
+ amplitude-panned virtual source is individual and cannot be predicted
+ with any panning law.
+