Raman spectrum image demixing method based on nonnegative matrix approximation

A technology of Raman spectroscopy and non-negative matrix, which is applied in the field of image processing and can solve problems such as unsatisfactory assumptions

Active Publication Date: 2015-03-11
ZHEJIANG UNIV
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

The limitation of this method is that there must be N-1 end members (N is the total number of end members), but in real high-mixed data sets, this assumption is not ideal

Method used

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  • Raman spectrum image demixing method based on nonnegative matrix approximation
  • Raman spectrum image demixing method based on nonnegative matrix approximation
  • Raman spectrum image demixing method based on nonnegative matrix approximation

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Embodiment 1

[0032] Based on the rank 1-NMU algorithm, the invention proposes a non-negative matrix proximity algorithm for sparse graph relations.

[0033] The basic rank 1-NMU algorithm can be formulated as an optimization problem as shown in the following formula:

[0034] f ( u , v ) = Σ u ≥ 0 , v ≥ 0 min | | M - uv T | | F 2 , such that uv T ≤ M

[0035] in: is the F norm. matrix is the image data matrix, matrix u and matrix v are row vectors with length m and length n...

Embodiment 2

[0065] Below we take the structural components of the tea plant cell wall as an example to describe the specific implementation of the method proposed by the present invention.

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Abstract

The invention discloses a Raman spectrum image demixing method based on nonnegative matrix approximation. Non-pure pixels do not exist in a Raman spectrum image, unknown limitation on ANC, ASC and end elements exists in Raman spectrum demixing, various regularization factors such as sparsity are added in the nonnegative matrix approximation under the condition that the Raman spectrum image meets requirements of an LMM (labor market model), so that mixed pixel components and corresponding abundance thereof can be obtained effectively. Compared with the existing other method, the Raman spectrum image demixing method based on the nonnegative matrix approximation has the following advantages that the number of end elements (substances) is not required to serve as a priori knowledge; an iteration strategy is adopted, and a gain result is not relevant to the number of the end elements; and a graph relation and 1/2 bound norm are used, so that the noise immunity and the stability of an algorithm are improved.

Description

technical field [0001] The invention belongs to the technical field of image processing, and in particular relates to a Raman spectral image unmixing method based on non-negative matrix proximity. Background technique [0002] Raman spectroscopy is a three-dimensional image, including ordinary two-dimensional plane image information and wavelength information. While imaging the spatial characteristics of the target, each spatial pixel is dispersed to form dozens or even hundreds of narrow bands for continuous spectral coverage. A Raman image is a three-dimensional Raman image composed of two-dimensional images corresponding to several wavelengths. [0003] Raman spectroscopy is widely used in industries such as cell engineering (detection of cell wall structural components) because of its unique spectral characteristics for different substances. However, most of the current Raman images are synthesized by mixing multiple different substances (endmembers). In order to analy...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06T7/00
CPCG06V20/693G06V20/695G06V20/698
Inventor 邓水光徐亦飞李莹吴建尹建伟吴朝晖
Owner ZHEJIANG UNIV
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