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April 2, 2014 17:29
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constraint notes
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Analysis of systems of equations - Serrano [74] | |
First step of determining whether a system is | |
over/under/well constrained. | |
Can be extended to decompose graphs into independently | |
solvable graphs | |
The constraint graph | |
+ vertex - geometric element | |
+ describe DOF | |
+ edge - constraint | |
+ describe # of DOF they remove | |
Over/Under/Well constrained global detection | |
Sum DOF and -edge DOF | |
"There are theorems which prove that if a constraint | |
graph can be decomposed in one way, using triangle | |
decomposition, then every sequence of triangle | |
decompositions fully decomposes the constraint graph." |
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