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Tensor completion method, tensor completion device, equipment and storage medium

A tensor and completion technology, applied in the field of image processing, can solve problems such as damage and element loss, and achieve good recovery effects

Active Publication Date: 2022-07-12
HARBIN INST OF TECH SHENZHEN GRADUATE SCHOOL
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Problems solved by technology

When the dimension of the data is three-dimensional or higher, the tensor representation method can preserve more necessary structural information in the data, and the low-rank tensor approximation model based on the low-rank nature of the data set can restore the Raw and clean tensors, but this approach is prone to missing or corrupted elements

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  • Tensor completion method, tensor completion device, equipment and storage medium
  • Tensor completion method, tensor completion device, equipment and storage medium
  • Tensor completion method, tensor completion device, equipment and storage medium

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[0054] In order to make the purpose, technical solutions and advantages of the present application more clearly understood, the present application will be described in further detail below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are only used to explain the present application, but not to limit the present application.

[0055]It should be noted that although the functional modules are divided in the schematic diagram of the device, and the logical sequence is shown in the flowchart, in some cases, the modules may be divided differently from the device, or executed in the order in the flowchart. steps shown or described. The terms "first", "second" and the like in the description and claims and the above drawings are used to distinguish similar objects and are not necessarily used to describe a specific order or sequence.

[0056] Unless otherwise defined, all technical and scientific...

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Abstract

The embodiment of the invention provides a tensor completion method, a tensor completion device, tensor completion equipment and a storage medium, and belongs to the technical field of image processing. The method comprises the following steps: acquiring original tensor data and tensor data to be observed, and establishing a first objective function according to the original tensor data and the tensor data to be observed; and performing wavelet tight frame transformation on the original tensor data, updating the first objective function, and combining the updated first objective function with the non-convex penalty function to obtain a second objective function. And solving the second objective function by adopting an alternating direction multiplier method to obtain a complete tensor image corresponding to the tensor data to be observed. According to the method, a tensor completion method of non-convex low-rank tensor approximation based on a wavelet tight frame is adopted, and a low-rank tensor approximation model which is better in recovery effect and can retain more structural information can be provided, so that a complete tensor image is obtained.

Description

technical field [0001] The present application relates to the technical field of image processing, and in particular, to a method for tensor completion, an apparatus, device and storage medium for tensor completion. Background technique [0002] The tensor modeling problem has a wide range of applications in computer vision data processing, seismic data processing, medical image restoration and other problems. When the data is two-dimensional data, because the matrix rank minimization has the global constraint ability, it can well represent the sparsity of the two-dimensional data, so the matrix low-rank model is usually used to complete or restore the image of some two-dimensional data. When the dimension of the data is three-dimensional or higher, the tensor representation method can save more necessary structural information in the data, and the low-rank tensor approximation model constructed based on the low-rank nature of the data set can be used to restore the data. A...

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Application Information

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IPC IPC(8): G06T5/00G06T11/00G06F17/16
CPCG06T11/001G06F17/16G06T5/00
Inventor 陈勇勇徐婷婷赵晓佳
Owner HARBIN INST OF TECH SHENZHEN GRADUATE SCHOOL
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