Dense non-rigid motion structure algorithm based on Grassmann manifold

Abstract

The invention provides a dense non-rigid motion structure algorithm based on a Grassmann manifold. The main content of the algorithm comprises Grassmann manifold construction, non-rigid motion structure formulation and three-dimensional reconstruction experiment and analysis. According to the process of the algorithm, first, Grassmann formulation representation is performed on a track space; second, Grassmann formulation representation is performed on a shape space; third, spatial-temporal formulation is performed, and bilinear optimization is performed; and last, a three-dimensional reconstruction experiment is performed, and control variable analysis and runtime analysis are performed. According to the algorithm, when a non-rigid motion structure is processed based on the Grassmann manifold, no prior template is needed, non-linear deformation with noise can be processed, and a final result based on a basic dataset can be provided; and the algorithm has better data extensibility and higher reconstruction precision, and comprehensive performance is optimal.

Description

technical field [0001] The invention relates to the field of three-dimensional reconstruction, in particular to a dense non-rigid motion structure algorithm based on Grassmannian manifolds. Background technique [0002] 3D reconstruction technology describes the real scene into a mathematical model that conforms to the logical expression of the computer through the processes of depth data acquisition, preprocessing, point cloud registration and fusion, and surface generation, involving image processing, stereo vision, pattern recognition, etc. subject system. In clinical medicine, 3D reconstruction technology can present two-dimensional organ images in a three-dimensional form, which is helpful for analysis and planning before surgery; in the field of cultural relics exhibition, 3D reconstruction technology can be used to digitally process precious cultural relics and build Based on the network digital museum system, it can better solve the contradiction between rich exhibi...

AI Technical Summary

Problems solved by technology

[0004] In view of the problems of low data scalability and low reconstruction accuracy in existing 3D reconstruction algorithms, the purpose of the present invention is to provide a dense non-rigid motion structure algorithm based on Grassmannian manifolds. Grassmann formulation; then, Grassmann formulation of shape space; next, space-time formulation and bilinear optimization; finally, 3D reconstruction experiments with control variable analysis and runtime analysis

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