SpatDIF

h1. Interpolation Extension

Any parameter change in a scene description can either be discrete (jump to) or continuous/interpolated (smooth)

h2. Interpolation flag 

h3. Interpolating on a parameter of an entity (source/sink/speaker)

@/spatdif/interpolate/source/1/position 1@

@/spatdif/interpolate/source/*/position 0@

h3. Setting a target time (duration) or imply interpolation to the next occurrence of the parameter

@/spatdif/interpolate/source/1/time 2.5@

@/spatdif/interpolate/source/1/time -1@

h3. Interpolation type

For each interpolation type the formula is provided for increasing a normalized one-dimensional value {{latex($y_n$)}} from _0_ to _1_ over the normalized time {{latex($t_n$)}} starting at _0_ and ending at _1_.

|*Type*|*OSC Example* | *Equation* |

|None|@/spatdif/interpolate/source/1/type none@| |

|Linear|@/spatdif/interpolate/source/1/type linear@|{{latex($y_n = t_n$)}}|

|Cubic|@/spatdif/interpolate/source/1/type cubic@| |

|Quadratic|@/spatdif/interpolate/source/1/type quadratic@| |

|Cosine|@/spatdif/interpolate/source/1/type cosine@|{{latex($y_n = 0.5 - 0.5 * cos(\pi t_n)$)}}|

Q: tweening/easing?

Q: Should granularity be defined as well?

Q: Interpolation of multidimensional data (e.g. position, directivity) ?

* see attached example: InterpolationPosition.mov