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How to Think about Segments and Blend-Points
see also: Motion Design: Work Sample 1: Segment Type
FIRST POINT
The Blend-Points explicitly dictate ONLY the Y-Values (positon,velocity, acceleration, and jerk) at the BEGINNING of the selected segment, and the Y-Values at the end of the Previous Segment.
The segment type determines the Y-Values between the explicitly defined blend-points.
Each segment type is each assigned a different mathematical expression which is assigned a name - such as Modified Trapezoidal, as an example.
Each mathematical expression (segment type) requires boundary conditions (blend-points) to fully define it.
Some segment types allow position, vleocity, acceleration and jerk to be specified at the blend-points, while others might only allow you to specifty position conditions..
SECOND POINT
The "shape" of the any one graph completely defines all the other graphs. - they all are related, simply and beautifully, by basic calculus, and calculus has its rules.
By changing anything on one graph to redefine it, all the other graph change their shapes as a consequence of the calculus.
THIRD POINT
If you really want to do something special in the middle of a segment, in other words, you cannot quite get what you want with a standard or even the Flexible Polynomial segment, then you can split a segment using the Edit: Insert Blend-Point or accurately using the Edit: Insert Blend-Point At tool.