ANACONDA performs well in comparison with other algorithms. By including CT/CBCT data in the validation, the various aspects of the algorithm such as its ability to handle different modalities, large deformations, and air pockets are shown.

Abstract. A differential geometric characterization of the braid-index of a link is found. After multiplication by 2π, it equals the infimum of the sum of total curvature and total absolute torsion over holonomic representatives of the link.Upper and lower bounds for the infimum of total curvature over holonomic representatives of a link are given in terms of its braid-and bridge-index. Examples showing that these bounds are sharp are constructed.

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