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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

Active Publication Date: 2013-12-25
广东省航道局 +2
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Problems solved by technology

That is to say, only one fitting is performed in the whole process, and the number of control nodes on the triangulation network is random, so the line type of the finally generated isobath line will often have a sudden change in the line type, and the turning range is large , that is, the unevenness changes obviously, and the sudden place is uncontrollable

Method used

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  • Isobath tracking algorithm based on TPS
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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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Abstract

The invention discloses an isobath tracking algorithm based on a TPS. The isobath tracking algorithm based on the TPS includes the following steps that firstly, discrete points with three-dimensional coordinates are led in as control points; secondly, the TPS is used for carrying out surface fitting on the discrete points and a smooth curved face formula passing each discrete point is obtained; thirdly, according to the density and the range of the discrete points, an initiative plane grid is established; fourthly, the elevation value of each grid node on the fitting surface is calculated and the plane grid is converted into a curved face grid; fifthly, the isobath is tracked on the curved face grid according to the given elevation values. Based on the curve fitting algorithm based on the TPS, the terrain under water can be well simulated according to the collecting points and the isobath can be accurately tracked by establishing a regular grid with a certain density. As the curve is smooth, the generated isobath has certain smoothness, the nodes are distributed densely and evenly and finally, the smooth isobath can be obtained by means of a tension spline or a high-order spline in a fitting mode and protruding or abrupt change in the curve fitting process can be effectively avoided.

Description

technical field [0001] The invention relates to the technical field of isobath drawing, in particular to a TPS-based isobath tracking algorithm. Background technique [0002] For a long time, the drawing of isobaths has been done digitally by hand, but this way of working is labor-intensive and takes a long time. In the trend of automatic digital mapping, there is a relatively simple way to generate isobaths, which is to establish a triangulation. In such a process, the quality of water depth data directly affects the effect of isobath generation, because the process of numerical interpolation and fitting is missing before the automatic connection of isobaths. However, for isobaths, it is required that the line type of the isobaths should be as smooth as possible under the premise of accurate expression information, that is, there are higher requirements for data fitting. The commonly used algorithm for generating isobaths is the linear triangulation method. The connection...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06T17/30G06T17/05
Inventor 倪晓东吴龙祥吉绪发邓德标邹德华李炎丰李晓雨
Owner 广东省航道局
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