Three-dimensional reconstruction error boundary evaluation method based on Fisher information matrix

A technology of 3D reconstruction and information matrix, which is applied in image data processing, instrumentation, calculation, etc., and can solve problems such as errors and failures

Inactive Publication Date: 2018-11-20
HARBIN INST OF TECH
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Problems solved by technology

[0005] In the prior art, it is not proposed to introduce the Fischer information matrix to solve the essential matrix and other information in the 3D reconstruction process, determine the propagation process of the error in the 3D reconstruction process, and give the upper and lower bounds of the 3D reconstruction error

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  • Three-dimensional reconstruction error boundary evaluation method based on Fisher information matrix
  • Three-dimensional reconstruction error boundary evaluation method based on Fisher information matrix
  • Three-dimensional reconstruction error boundary evaluation method based on Fisher information matrix

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Embodiment Construction

[0055] In the 3D reconstruction error limit evaluation method based on the Fisher information matrix described in this embodiment, what is actually observed is the point on the image, and a method with more practical physical meaning is to make the 3D reconstruction point projected onto the point on the image The distance from the actual observed point is the smallest, that is, the following criteria need to be minimized. Guidelines are

[0056]

[0057] make

[0058] F is a continuous second order derivable function with respect to x, y, z. Strictly solving the above formula, according to the Fischer information matrix solution principle, the lower boundary of the parameter estimation error variance matrix can be obtained (because the influence of external parameters is considered here), that is, the theoretical limit that the parameter estimation can reach can be given. Can make

[0059]

[0060] where the diagonal elements are measures of the amount of informatio...

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Abstract

The invention provides a three-dimensional reconstruction error boundary evaluation method based on a Fisher information matrix, and relates to the technical field of computer graphics and computer vision. In order to determine the propagation process of the error in the three-dimensional reconstruction process, the upper and lower boundaries of the three-dimensional reconstruction error are givenso as to realize the solution of the information such as the essential matrix in the three-dimensional reconstruction process, determine the propagation process of the error in the three-dimensionalreconstruction process and give the upper and lower boundaries of the three-dimensional reconstruction error. The data analysis process of the calculation model is deduced by using the Fisher information matrix with combination of the lower boundary value mathematical model of three-dimensional reconstruction error propagation, and the lower boundary value calculation expression of three-dimensional error propagation is obtained and finally the eigenvalue matrix is obtained, and the actual deviation of the three-dimensional reconstruction points on x, y, z axes after the secondary projection is determined. The lower boundary after the secondary projection is measured by the value of the deviation. Meanwhile, the influence of some external parameters of the camera is considered and used forcalculating the relative lower boundary value of three-dimensional reconstruction error in calculation of the mathematical model.

Description

Technical field: [0001] The invention relates to a three-dimensional reconstruction error limit evaluation method, and relates to the technical fields of computer graphics and computer vision. technical background: [0002] 3D reconstruction has been a very important research content in the fields of computer vision and computer graphics in recent years. In the process of three-dimensional reconstruction, solving the reconstruction error has always been an important issue in 3D reconstruction, and solving the boundary value of the error in the reconstruction process is also one of the important criteria for judging the accuracy of 3D reconstruction, so how to solve the problem of 3D reconstruction The boundary evaluation problem in is an important content of 3D reconstruction. The following prior art gives two analyzes about the error: [0003] Method one, research on several techniques of 3D reconstruction in computer vision. Doctoral dissertation, Nanjing University of ...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06T7/50
CPCG06T7/50
Inventor 张泽旭苏宇李江
Owner HARBIN INST OF TECH
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