Tchebichef image moment approach to the prediction of protein secondary structures based on circular dichroism

Li, Sha Sha; Li, Bao Qiong; Liu, Jin Jin; Lu, Shao Hua; Zhai, Hong Lin

doi:10.1002/prot.25509

Cited by 8 publications

(2 citation statements)

References 46 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…That is to say the SC-3D spectrum was directly constructed through doubling the corresponding original spectrum, and the information of the SC-3D spectrum and the corresponding original spectrum is exactly the same. The Tchebichef moment method has been successfully applied on the basis of 1 H nuclear magnetic resonance SC-3D spectra, 25 circular dichroism SC-3D spectra, 26 and NIR SC-3D spectra 27 owing to the multiple advantages of Tchebichef moment, such as inherent invariance property, image description capability, and multiresolution capability. In the following research, we have found that the SC-3D spectra constructed by the above way have some deficiencies.…”

Section: Methodsmentioning

confidence: 99%

N-way partial least squares combined with new self-construction strategy—A promising approach of using near infrared spectral data for quantitative determination of multiple compounds

Zhang

Feng

et al. 2019

Journal of Near Infrared Spectroscopy

Self Cite

View full text Add to dashboard Cite

Because of the complexity of near infrared spectral data, effective strategies are necessary proposed for accurate quantitative analysis purpose. This work explores a new self-construction strategy for the arrangement of conventional near infrared two-dimensional spectra into new self-constructed three-dimensional spectra, and investigate the feasibility of N-way partial least squares combined with the new self-constructed three-dimensional near infrared spectra for obtaining accurate quantitative determination results. A proof-of-concept model system, the quantitative analysis of four components (moisture, oil, protein, and starch) in corn samples, was applied to evaluate the performance of the proposed strategy. The ability of the newly proposed approach to predict the target compounds was checked with test samples. The established models have good predictive power for the target compounds with acceptable values of Rp (range from 0.82 to 0.997) and RMSEP (range from 0.03 to 0.47). Compared with partial least squares method on pretreated near infrared spectra and N-way partial least squares method on the basis of near infrared self-constructed three-dimensional spectra, the proposed method is competitive.

show abstract

Section: Methodsmentioning

confidence: 99%

N-way partial least squares combined with new self-construction strategy—A promising approach of using near infrared spectral data for quantitative determination of multiple compounds

Zhang

Feng

et al. 2019

Journal of Near Infrared Spectroscopy

Self Cite

View full text Add to dashboard Cite

show abstract

“…In order to solve this problem, discrete orthogonal moments such as Krawtchouk, Tchebichef, Hahn, Charlier and Meixner moments have been successfully introduced within the field of image analysis [27,31,50,70]. The implementation of these moments does not require any numerical approximation since the basis set is orthogonal in the discrete domain of the image coordinate space [12,44].…”

Section: Introductionmentioning

confidence: 99%

Hiding data inside images using orthogonal moments

Soria-Lorente¹,

Berres²,

Avila-Domenech³

2019

Preprint

View full text Add to dashboard Cite

In this contribution we propose a novel steganographic method based on several orthogonal polynomials and their combinations. The steganographic algorithm embeds a secrete message at the first eight coefficients of high frequency image. Moreover, this embedding method uses the Beta chaotic map to determine the order of the blocks where the secret bits will be inserted. In addition, from a 128-bit private key and the steps of a cryptography algorithm according to the Advanced Encryption Standard (AES) to generate the key expansion, the proposed method generates a key expansion of 2560 bits, with the purpose to permute the first eight coefficients of high frequency before the insertion. The insertion takes eventually place at the first eight high frequency coefficients in the transformed orthogonal moments domain. Before the insertion of the message the image undergoes a series of transformations. After the insertion the inverse transformations are applied to the original transformations in reverse order. The experimental work on the validation of the algorithm consists of the calculation of the Peak Signal-to-Noise Ratio (PSNR), the Universal Image Quality Index (UIQI), the Image Fidelity (IF), and the Relative Entropy (RE), comparing the same characteristics for the cover and stego image. The proposed algorithm improves the level of imperceptibility and security analyzed through the PSNR and RE values, respectively.

show abstract