Spatial data spectral domain decomposition method and apparatus applying laplace operator

By applying the Laplacian operator to perform spectral domain decomposition of 3D spatial data, the problems of large data scale and coordinate dependence in 3D model storage and reconstruction are solved, and efficient and fine 3D model representation and restoration are achieved.

CN115810094BActive Publication Date: 2026-04-24CHINA COAL RES INST +1
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Patent Information

Application Number
CN202211456550.5
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2022-11-21
Publication Date
2026-04-24
Estimated Expiration
2042-11-21

AI Technical Summary

Technical Problem

Existing 3D spatial perception data suffers from problems such as large data scale and dependence on a single coordinate system during storage and reconstruction, making it difficult to effectively represent fine details.

Method used

The Laplacian operator is used to decompose the spatial data into spectral domain. By constructing the Laplacian operator matrix, its eigenvalues ​​and characteristic equations are calculated. Encoding and decoding are performed using the eigenvalues ​​and characteristic equations to achieve smoothing and visualization of the 3D model and recover the 3D model representation with invariance.

Benefits of technology

It achieves efficient storage and refined representation of 3D models without relying on a specific coordinate system, reduces storage space requirements, and can restore the original model according to accuracy requirements.

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Abstract

The application discloses a spatial data spectral domain decomposition method and device applying Laplace operator, and belongs to the technical field of three-dimensional spatial perception data. In view of the three-dimensional space field model construction widely existing in the coal mine scene, the space model coordinate transformation has the invariance representation, the space model is not dependent on the specific coordinate and is decomposed, and the decomposition quantity is used for coding and decoding; the Laplace operator calculation based on cotangent and Hodge dual area is carried out on the original characteristic spectrum, so that the calculation of the characteristic value and the characteristic equation of the original model is realized, and the original model is smoothed and spectrally decomposed and visualized by using the characteristic value and the characteristic equation. The space occupation is low, the model calculation time is low, the fine part is convenient to express, the number of features k can be selected according to the selected precision requirement, the original model is restored, and details of the original model are selected and reserved according to the number of k.
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