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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, jJ and i, jM, kl > 0, A ∩ C =