In the classic time map the regularly spaces events are on the diagonal and accelerating/decelerating events are progressively more away the diagonal. The radius represents velocity and the angle from diagonal represents acceleration.
It might be more natural to transform this space via inverse polar mapping on the single quadrant. In this case the cartesian x axis would represent the velocity and the y axis the acceleration. y = 0 means steady velocity, y > 0 acceleration and y < 0 deceleration. It could be combined with logaritmic mapping of the radius.
Any quantization could be done after the inverse polar mapping.
In the classic time map the regularly spaces events are on the diagonal and accelerating/decelerating events are progressively more away the diagonal. The radius represents velocity and the angle from diagonal represents acceleration.
It might be more natural to transform this space via inverse polar mapping on the single quadrant. In this case the cartesian x axis would represent the velocity and the y axis the acceleration.
y = 0means steady velocity,y > 0acceleration andy < 0deceleration. It could be combined with logaritmic mapping of the radius.Any quantization could be done after the inverse polar mapping.