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Table 1 Notation

From: Research on a bifurcation location algorithm of a drainage tube based on 3D medical images

Symbol

Description

M1(x1, y1, z1), M2(x2, y2, z2)

The coordinate of the joint point of the optimal external axis and the boundary of the hematoma

d12 =  ∣ M1M2∣

The distance from M1 to M2

d34 =  ∣ M3M4∣

The maximum diameter of the vertical surface through M1/2 in the hematoma

M3(x3, y3, z3), M4(x4, y4, z4)

The coordinates of the endpoints of d34 in the hematoma

D, d

Ddenotes the diameter of the duct in the main tube; d denotes the diameter of the hole in the subtube

dO

The distance between the two central points of the holes

dB

The distance between the two bifurcations

\( {d}_{B_i} \)

The distance between the main probe tip and the i − th bifurcation-tube probe tip (we define the first subtube to be nearest to the main probe tip)

  1. Note: Only some common symbols are listed here; the rest are explained later