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The Discrete Cosine Transform [PDF]
SIAM Review, 1999 In this paper the author derives the Discrete Cosine Transform (DCT) bases as eigenvectors of a symmetric second-difference matrix with certain boundary conditions. The type of boundary condition (Dirichlet or Neumann, centered at a meshpoint or a midpoint) determines the applications that are appropriate for each transform.
Gilbert Strang
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Steerable Discrete Cosine Transform [PDF]
IEEE Transactions on Image Processing, 2017 In image compression, classical block-based separable transforms tend to be inefficient when image blocks contain arbitrarily shaped discontinuities. For this reason, transforms incorporating directional information are an appealing alternative. In this paper, we propose a new approach to this problem, namely a discrete cosine transform (DCT) that can ...
FRACASTORO, GIULIA +2 more
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Lightweight Denoising Autoencoder Design for Noise Removal in Electrocardiography
IEEE Access, 2022 This study proposes two denoising autoencoder models with discrete cosine transform and discrete wavelet transform, to remove electrode motion artifacts in noisy electrocardiography. Initially, the discrete cosine transform and discrete wavelet transform
Ming-Hwa Sheu +5 more
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Recognition of Ultrasound Images of Breast Cancer Based on Discrete Sinc Transform and Deep Learning [PDF]
Egyptian Journal of Cancer and Biomedical Research, 2022 Background: : The most common cause of cancer-related death among women all over the world is breast cancer. Altough ultrasound emaging I useful in diagnosis of the patients, itsaccuracy needs more improvement.
Mohamed Azmy
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The Discrete Cosine Transform on Triangles [PDF]
ICASSP 2019 - 2019 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2019 The discrete cosine transform is a valuable tool in analysis of data on undirected rectangular grids, like images. In this paper it is shown how one can define an analogue of the discrete cosine transform on triangles. This is done by combining algebraic signal processing theory with a specific kind of multivariate Chebyshev polynomials.
Bastian Seifert, Knut Hüper
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Approximate calculation of 8-point DCT for various scenarios of practical applications
EURASIP Journal on Image and Video Processing, 2021 In this paper, based on the parametric model of the matrix of discrete cosine transform (DCT), and using an exhaustive search of the parameters’ space, we seek for the best approximations of 8-point DCT at the given computational complexities by taking ...
Dariusz Puchala
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Generalized Discrete Cosine Transform [PDF]
2009 Pacific-Asia Conference on Circuits, Communications and Systems, 2009 The discrete cosine transform (DCT), introduced by Ahmed, Natarajan and Rao, has been used in many applications of digital signal processing, data compression and information hiding. There are four types of the discrete cosine transform. In simulating the discrete cosine transform, we propose a generalized discrete cosine transform with three ...
Jianqin Zhou, Ping Chen
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Comparative analysis of chosen transforms in the context of de-noising harmonic signals [PDF]
Biuletyn Wojskowej Akademii Technicznej, 2015 In the article, comparison of popular transforms used i.a. in denoising harmonical signals was presented. The division of signals submitted to mathematical analysis was shown and chosen transforms such as Short Time Fourier Transform, Wigner-Ville ...
Artur Zacniewski
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A Hybrid Robust Image Watermarking Method Based on DWT-DCT and SIFT for Copyright Protection
Journal of Imaging, 2021 In this paper, a robust hybrid watermarking method based on discrete wavelet transform (DWT), discrete cosine transform (DCT), and scale-invariant feature transformation (SIFT) is proposed.
Mohamed Hamidi +3 more
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JUTI: Jurnal Ilmiah Teknologi Informasi, 2020 Personal identification can be done by using face, fingerprint, palm prints, eye’s retina, or voice recognition which commonly called as biometric methods. Face recognition is the most popular and widely used among those biometric methods. However, there
Afrizal Laksita Akbar +2 more
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