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. 2025 Nov 14;15:39922. doi: 10.1038/s41598-025-23605-8

Table 2.

Contact information and relative errors under polygon–polygon contact condition.

Contact condition Calculation method Contact Information
Contact point (x, y) Contact normal (x, y) Contact depth/mm
Angle–Angle CAD calculation (exact value) (688.5940, 722.2184) (0.969909,0.243462) − 57.4266
Algorithm calculation (value) (699.532, 699.831) (0.96991, 0.243462) − 57.4265
Absolute difference (10.938, − 22.3874) (0.000001,0.0) 0.0001
Deviation/angle 24.9166 0.1092° 0.0001
Relative error (1.59%,3.10%) 0.078% 0
Angle–Edge CAD Calculation (exact value) (711.0354, 718.9695) (0.996317, 0.0857430) − 22.8660
Algorithm calculation (value) (711.234, 761.116) (0.996318, 0.0857399) − 22.8660
Absolute difference (0.1986,42.1465) (0.000001, − 0.0000031) 0.0
Deviation/angle 42.1470 0.0
Relative error (0.028%,5.86%) 0 0
Edge–Edge CAD Calculation (exact value) (644.0412, 642.5893) (0.729218, − 0.684278) − 28.3246
Algorithm calculation (value) (727.325, 727.458) (0.729219, − 0.684281) − 28.3245
Absolute difference (83.2838,84.8687) (0.000001, − 0.000003) 0.0001
Deviation/angle 118.9070 0.0001
Relative error (12.93%,13.21%) 0 0