The invention relates to a non-rigid three-dimensional
point cloud corresponding method and device and a storage medium, and is applied to the technical field of three-dimensional scanning, and the method comprises the steps: more accurately reflecting the geometrical relationship between vertexes in a
point cloud through an optimized
Laplacian matrix; characteristic parameters are obtained through the optimized
Laplacian matrix and are input into the learning
diffusion layer, so that the
diffusion process of heat (or signals) described by a thermal equation in time is simulated; simulating local information of points by utilizing a thermonuclear
diffusion process, and effectively integrating a global geometric structure into feature representation of the points; mapping the
feature matrix to a feature space through the feature basis matrix; finding out the optimal linear mapping between the two feature spaces by adopting a least square method, and carrying out iterative updating to obtain final
functional mapping; mapping each vertex in the source
point cloud to the most corresponding vertex of the target point cloud through final
functional mapping to obtain a mapping matrix; and finally, iteratively updating the mapping matrix through a preset
loss function to obtain a final mapping matrix.