A hyperspectral video image gas detection method based on cumulative tensor decomposition
A video image and gas detection technology, which is applied in the field of hyperspectral video image gas detection, can solve the problems of not realizing the effective use of time phase information of hyperspectral video data, low detection accuracy, etc., to achieve improved accuracy, wide application scenarios, good The effect of detection performance
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specific Embodiment approach 1
[0037] Specific Embodiment 1: In this embodiment, a hyperspectral video image gas detection method based on cumulative tensor decomposition, the specific process is as follows:
[0038] Step 1: Express the hyperspectral video image sequence composed of the previous t moments as a fourth-order cumulative tensor Will As the initial fourth-order cumulative tensor Calculated using the classic alternating least squares method As a result of its CP decomposition, we get factor matrix in four dimensions i represents the dimension, 1 represents the space-X dimension, 2 represents the space-Y dimension, 3 represents the spectral dimension, and 4 represents the time dimension;
[0039] based on and Initialize two sets of auxiliary matrices on the three non-time dimensions corresponding to time t and n=1,2,3, n represents dimension, 1 represents space-X dimension, 2 represents space-Y dimension, 3 represents spectral dimension;
[0040] Step 2: For a newly added frame ...
specific Embodiment approach 2
[0046] Specific embodiment 2: The difference between this embodiment and specific embodiment 1 is that in the first step, the hyperspectral video image sequence composed of the previous t moments is expressed as a fourth-order cumulative tensor Will As the initial fourth-order cumulative tensor Calculated using the classic alternating least squares method As a result of its CP decomposition, we get factor matrix in four dimensions based on and Initialize two sets of auxiliary matrices on the three non-time dimensions corresponding to time t and The specific process is:
[0047] Given a hyperspectral video image sequence, the hyperspectral video image sequence composed of the first t moments is expressed as a fourth-order cumulative tensor Will As the initial fourth-order cumulative tensor Using the classic Alternating Least Squares algorithm (Alternating Least Squares, ALS) to get factor matrix in four dimensions
[0048] Among them, the first dimen...
specific Embodiment approach 3
[0058] Embodiment 3: The difference between this embodiment and Embodiment 1 or 2 is that in the step 2, for a newly added frame of image at time t+1, it itself can be expressed as a three-dimensional hyperspectral image Will Append the rank 4 cumulative tensor initial in step 1 The time dimension of , such that the initial fourth-order cumulative tensor Expand in the time dimension to obtain a new fourth-order cumulative tensor corresponding to time t+1 The specific process is:
[0059] Newly added 3D hyperspectral image stereo at time t+1 Represented as a third-order tensor, the initial fourth-order cumulative tensor Added to the time dimension of Get the new fourth-order cumulative tensor corresponding to time t+1
[0060] in, The superscript of represents the order of the tensor, and the subscript represents the moment of the video sequence corresponding to a single third-order tensor; Append the rank 4 cumulative tensor initial in step 1 The time dim...
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