I'm trying to write a program that can calculate a user's 3D finger pose from only knowing the 3D position of the finger's tip and the lengths of the finger's proximal, middle, & distal phalanx.
I'm having trouble finding information or examples of this calculation online with this given constraint.
If I have 4, 3D vectors with these relationships and properties:
- A, B, C, R
- R = A + B + C (order of addition is fixed)
- |A| > |B| > |C|
How can I (or can I) calculate the component vectors if I only know their unique magnitudes and fixed order, as well as knowing the resultant vector thats formed from the combination of these component vectors?
or can someone point me in the direction of information that may help me figure this out?