A progressive refinement transmission method and system for single-band matrix DEM data
A transmission method and matrix-type technology, which are applied in the field of single-band matrix-type DEM data progressively refined transmission methods and systems, to achieve the effect of increasing the computational burden and having parallelism
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Embodiment 1
[0054] The progressive refinement transmission method of single-band matrix DEM data comprises the following steps:
[0055] S1. First perform quadtree segmentation on the single-band matrix DEM data to obtain sub-slices;
[0056] S2. Perform singular value decomposition on each sub-slice to obtain the corresponding left singular matrix U, singular value vector S and right singular matrix V;
[0057] S3. Analyze the singular value vectors of each sub-slice to determine the number of effective singular vectors, thereby determining the effective singular vectors of the actual left singular matrix U and right singular matrix V; from the left singular matrix U and right singular matrix V , Singular value vector S, respectively extract effective singular vectors and singular values layer by layer;
[0058] S4. Taking the effective singular vectors and singular values in the extracted left singular matrix U and the effective singular vectors of the right singular matrix V as th...
Embodiment 2
[0062] The progressive refinement transmission method of single-band matrix DEM data comprises the following steps:
[0063] S1. First perform quadtree segmentation on the single-band matrix DEM data to obtain sub-slices;
[0064] S2. Perform singular value decomposition on each sub-slice to obtain the corresponding left singular matrix U, singular value vector S and right singular matrix V;
[0065] S3. Analyze the singular value vectors of each sub-slice to determine the number of effective singular vectors, thereby determining the effective singular vectors of the actual left singular matrix U and right singular matrix V; from the left singular matrix U and right singular matrix V , Singular value vector S, respectively extract effective singular vectors and singular values layer by layer;
[0066] S4. Taking the effective singular vectors and singular values in the extracted left singular matrix U and the effective singular vectors of the right singular matrix V as th...
Embodiment 3
[0070] The progressive refinement transmission method of single-band matrix DEM data comprises the following steps:
[0071] S1. First perform quadtree segmentation on the single-band matrix DEM data to obtain sub-slices;
[0072] S2. Perform singular value decomposition on each sub-slice to obtain the corresponding left singular matrix U, singular value vector S and right singular matrix V; the singular value decomposition assumes that X is a sub-slice;
[0073] The k-th row vector of matrix X is abbreviated as: ; The kth column vector of matrix X is abbreviated as: ; using tokens Indicates the non-zero elements on the main diagonal of the S matrix, and the rest of the elements are all zero, where ;assumed , perform singular value decomposition on the matrix X, and get ;
[0074] Rewrite the result of singular value decomposition and express it in the form of singular vector cumulative sum, namely
[0075]
[0076]
[0077] ;
[0078] Simplifying further...
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