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Space curve rapid three-dimensional interpolation method, system and terminal based on neighbor distribution

A space curve and interpolation method technology, applied in the field of fast three-dimensional interpolation of space curves based on the nearest neighbor distribution, can solve the problems of decreased estimation accuracy of unknown points and increased interpolation cost, and achieve the effect of wide application range and high flexibility

Pending Publication Date: 2022-07-12
中国兵器装备集团自动化研究所有限公司
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

In actual engineering applications, the complex calculation process of the three-dimensional plane can be replaced by increasing the number of test points, such as increasing the value from three points to four points, resulting in an increase in interpolation costs
In addition, when the test points are insufficient, the purpose of fast estimation can be achieved by sacrificing the accuracy. Although the number of test points is not high, the decline in the estimation accuracy of unknown points caused by the neglect of parameter changes in a certain direction is also a significant disadvantage.

Method used

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  • Space curve rapid three-dimensional interpolation method, system and terminal based on neighbor distribution
  • Space curve rapid three-dimensional interpolation method, system and terminal based on neighbor distribution
  • Space curve rapid three-dimensional interpolation method, system and terminal based on neighbor distribution

Examples

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Effect test

Embodiment 1

[0039] Example 1: Fast three-dimensional interpolation method of spatial curve based on neighbor distribution, such as figure 1 shown, including the following steps:

[0040] S1: Obtain the unknown test point and two known test points that are adjacent to the unknown test point;

[0041] S2: Establish a space line based on two known test points, both of which are on the space line;

[0042] S3: Select the point closest to the unknown point to be measured from the space straight line as the reference point;

[0043] S4: Approximately determine the coordinate information of the unknown dimension in the unknown to-be-measured point according to the coordinate information of the corresponding dimension in the reference point.

[0044] In this embodiment, the selection process of the reference point is as follows: determining the first straight line according to the coordinate information of two known dimensions in the unknown point to be measured; determining the second straight...

Embodiment 2

[0058] Embodiment 2: A fast three-dimensional interpolation system for spatial curves based on neighbor distribution, the system is used to implement the interpolation method described in Embodiment 1, such as figure 2 As shown, it includes a data acquisition module, a straight line construction module, a reference selection module, and an interpolation determination module.

[0059] Among them, the data acquisition module is used to obtain the unknown test point and two known test points that are adjacent to the unknown test point; the straight line construction module is used to establish a spatial straight line based on the two known test points; the reference selection module , which is used to select the point closest to the unknown point to be measured from the space straight line as the reference point; the interpolation determination module is used to approximately determine the coordinate information of the unknown dimension of the unknown point to be measured accordi...

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Abstract

The invention discloses a space curve rapid three-dimensional interpolation method, system and terminal based on neighbor distribution, and relates to the technical field of data interpolation, and the key points of the technical scheme are as follows: obtaining an unknown point to be tested and two known test points in neighbor distribution with the unknown point to be tested; establishing a spatial straight line according to the two known test points; selecting a point closest to the unknown to-be-measured point from the spatial straight line as a reference point; and according to the coordinate information of the corresponding dimension in the reference point, approximately determining the coordinate information of the unknown dimension in the unknown point to be measured. According to the method, the value of the coordinate point closest to the unknown to-be-tested point on the known test point connecting line is approximately used as an interpolation result, so that the multi-point coordinate requirement and the equation set resolving process required by three-dimensional plane resolving are avoided, and the unknown point can be subjected to high-precision parameter estimation under the condition that the number of test points is small, and only two points are needed.

Description

technical field [0001] The present invention relates to the technical field of data interpolation, and more particularly, to a method, system and terminal for fast three-dimensional interpolation of spatial curves based on neighbor distribution. Background technique [0002] The interpolation method is an approximate calculation method that approximates the unknown point from the known point, that is, constructs a polynomial function, makes it pass through all the known points, and then uses the obtained function to predict the position point. The existing interpolation method is widely used in images. processing and data analysis. [0003] In the prior art, to perform interpolation calculation on a three-dimensional unknown point, at least two dimensions in the three-dimensional data of the point and at least three test points around it should be known. In practical engineering applications, the complex solution process of the three-dimensional plane can be replaced by inc...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06T3/40G06T7/70G06T19/00
CPCG06T3/4007G06T7/70G06T19/00
Inventor 王文俊吴昌昊尹得智李彦平张雄林邵德立蒲永材谭晟吉邹佳鑫刘杰
Owner 中国兵器装备集团自动化研究所有限公司
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