Isobath tracking algorithm based on TPS
A tracking algorithm and isobath line technology, applied in the field of deep line drawing, can solve problems such as sudden changes in line direction, large turning range, and uncontrollable abrupt points
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[0047] TPS is an interpolation method that finds a smooth surface with minimal curvature through all control points. Its physical meaning is: assuming that there are N points An in the original shape, these N points correspond to new N points Bn under the new coordinates after deformation. Use the deformation of a thin steel plate to simulate 2D deformation to ensure that the N points can be correctly matched, so what kind of deformation can minimize the bending energy of the steel plate? TPS interpolation is a numerical solution to this problem. After the TPS calculation is performed, the isobath tracking process is performed.
[0048] Thin Plate Spline (TPS for short) is an interpolation method for geometric design proposed by Duchon. By simulating the bending of a thin metal plate, a smooth surface with minimal bending is obtained through all control points.
[0049] The isobath generation algorithm is generally obtained by tracking based on a triangular network or a regu...
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