Table 1 Optimization model [1]
From: Partition-based optimization model for generative anatomy modeling language (POM-GAML)
Arg Min: \( \sum \limits_{l=1}^N{k}_l\left|{p}_l-{p}_{Destination}\right| \) | ||
Subject to: | ||
Distij − |pi − pj| = 0 | for (i,j)∈ A | (1) |
\( {\mathit{\cos}}^{-1}\left(\frac{\left({p}_{io}-{p}_j\right)\bullet \left({p}_i-{p}_j\right)}{\left\Vert \left({p}_{io}-{p}_j\right)\right\Vert \times \left\Vert \left({p}_i-{p}_j\right)\right\Vert}\right)-{\theta}_{ij}<0 \) | for (i,j)∈ B | (2) |
(pio − pj)axis − (pi − pj)axis = 0 | (2a) | |
Distij − ∆dmax − |pi − pj| < 0 | for (i,j)∈ C | (3) |
|pi − pj| − Distij − ∆dmax < 0 | (4) | |
i, j ∈ J and i, j ⊆ M, kl > 0, A ∩ C = ∅ | ||