Method for solving three-dimensional similarity transformation parameter of model based on fitting plane normal vector direction

A technology of fitting planes and similar transformations, applied in image data processing, instruments, calculations, etc., can solve problems such as erroneous solutions, unclear physical meanings of parameters, and non-convergent solutions
CN104778731AInactive Publication Date: 2015-07-15BEIJING RES INST OF SPATIAL MECHANICAL & ELECTRICAL TECH
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Patent Information

Authority / Receiving Office
CN Β· China
Patent Type
Applications(China)
Current Assignee / Owner
BEIJING RES INST OF SPATIAL MECHANICAL & ELECTRICAL TECH
Publication Date
2015-07-15
Estimated Expiration
Not applicable Β· inactive patent

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Abstract

The invention discloses a method for solving a three-dimensional similarity transformation parameter of a model based on a fitting plane normal vector direction. The method comprises the following steps: firstly, selecting N (N is greater than or equal to 3) pairs of corresponding points in a three-dimensional model and a real model as directional reference points, completing the coordinate centralization of the directional reference points under each model, solving the coordinates of the directional reference points after coordinate centralization, and further calculating a zoom factor lambda between the three-dimensional model and the real model; then obtaining optimal fitting planes of the directional reference points in the three-dimensional model and the real model by using an overall least square method, and performing further calculation so as to obtain the normal vectors of the two optimal fitting planes; finally calculating a three-dimensional rotary matrix R between the three-dimensional model and the real model, and calculating the translation vector t of similarity transformation. The method disclosed by the invention can realize the direct solution of the three-dimensional rotary parameters between the models without providing an initial value in advance, so that the dependence on the initial values of the parameters is reduced, and the method is suitable for the solution of three-dimensional similarity transformation parameters under various rotary conditions.
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Description

technical field

[0001] The invention relates to a method for calculating three-dimensional similarity transformation parameters of a model, in particular to a method for calculating three-dimensional similarity transformation parameters of a model based on a fitting plane normal vector direction, belonging to the fields of surveying and mapping and computer vision. Background technique

[0002] In the process of target three-dimensional space positioning, the conversion between different coordinate systems is often involved, such as the conversion between the local three-dimensional coordinate system and the earth coordinate system, the conversion between the photogrammetric image space coordinate system and the object space coordinate system, etc. The conversion between three-dimensional rectangular coordinate systems satisfies the rigid body transformation, and the solution of seven parameters needs to be completed, including the transformation scale coefficient, the transl...

Claims

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