Method for stochastic transformation of three-dimensional space coordinate
A technology of three-dimensional space and spatial point coordinates, which is applied in the field of computing, can solve problems such as the limitation of application range, and achieve the effect of improving security strength
Inactive Publication Date: 2017-09-05
CHINESE ACAD OF SURVEYING & MAPPING
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[0003] However, because the existing coordinate transformation methods are all under the condition of strict one-to-one corresponding geometric relationship, the coordinate system transformation can be realized, and the application range is limited in some aspects.
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[0058] The method for the random transformation of three-dimensional space coordinates described in this embodiment, the method includes:
[0059] S1. Obtain the coordinates of i feature points from the spatial points of the source coordinate system, and set the coordinates of any feature point I in the source coordinate system as (X i0 ,Y i0 ,Z i0 ), i=1,2,...,n; set the coordinates of the space point I' corresponding to the feature point I in the target coordinate system, denoted as (X i1 ,Y i1 ,Z i1 );
[0060] S2, obtain the difference set T={(Δ x1 ,Δ y1 ,Δ z1 ),(Δ x2 ,Δ y2 ,Δ z2 ),(Δ x3 ,Δ x3 ,Δ z3 ),…,(Δ xn ,Δ yn ,Δ zn )}, where, set:
[0061] f x ={Δ x1 ,Δ x2 ,Δ x3 ,…,Δ xn},Δ xi =X i1 -X i0 , i=1,2,...,n;
[0062] f y ={Δ y1 ,Δ y2 ,Δ y3 ,…,Δ yn},Δ yi =Y i1 -Y i0 , i=1,2,...,n;
[0063] f z ={Δ z1 ,Δ z2 ,Δ z3 ,…,Δ zn},Δ zi = Z i1 -Z i0 , i=1,2,...,n;
[0064] f x Indicates the difference between the coordinates of the feature ...
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The invention discloses a method for stochastic transformation of a three-dimensional space coordinate and relates to the computing field. The method comprises the following steps: obtaining coordinates of i feature points from a space point of a source coordinate system, obtaining a coordinate corresponding to each of the feature points in a target coordinate system and calculating to obtain a coordinate difference value set T of the feature points; constructing based on the coordinate difference value set T to obtain a coordinate system conversion model; taking the quantity of elements in the coordinate difference value set T as an index range of the feature points and endowing each of the elements with a unique index value; obtaining an element s corresponding to an index value S of a non-feature point K; according to the element s, obtaining converted quantity on a coordinate corresponding component and based on the coordinate system conversion model, calculating to obtain a coordinate in the target coordinate system after the conversion of the non-feature point K in the source coordinate system. The method disclosed by the invention relates to a stochastic transformation model for non-geometric relations, and the transformation from a three-dimensional space coordinate system to another three-dimensional space coordinate is realized.
Description
technical field [0001] The invention relates to the field of computing, in particular to a method for random transformation of three-dimensional space coordinates. Background technique [0002] Whether in engineering applications or in modern animation technology, three-dimensional space coordinate transformation can be seen everywhere. The transformation of three-dimensional space coordinates, in the field of mathematics, is usually a strictly one-to-one corresponding coordinate system transformation calculation. Through the parameters between the given coordinate systems, the coordinates in the target coordinate system are directly calculated forward. Or by estimating the parameters between the coordinate systems, a strict coordinate system conversion model is obtained, and finally the coordinates in one coordinate system are obtained from the coordinates in another coordinate system. The data relationship involved in the existing coordinate conversion method In essence, ...
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CPCG06F7/548
Inventor 程鹏飞蔡艳辉徐彦田
Owner CHINESE ACAD OF SURVEYING & MAPPING