Everything about Multidimensional transform

🧭 Start here: a 6-step reading path

1. Read the overview: Multidimensional transformA 5-minute orientation
2. Skim a recent paper: Measuring multidimensional inequality: a new proposal based on the Fourier transformInfluential work since 2022
3. Pick up a classic book: Ergodic Theory, Dynamical Systems, and the Continuing Influence of John C. OxtobyThe most-reprinted book on the subject
4. Read the landmark paper: Multidimensional Alignment Using the Euclidean Distance TransformCited 65 times
5. Go sideways: Parseval's theoremA closely related topic
6. Go sideways: Finite impulse responseA closely related topic

🏆 Landmark papers (most cited)

• Multidimensional Alignment Using the Euclidean Distance Transform

  Dorota Kozinska, Oleh J. Tretiak, Jonathan Nissanov · 1997 · Graphical Models and Image Processing · 65 citations

• VLSI Architectures for Multidimensional Fourier Transform Processing

  Izidor Gertner, Moshe Shamash · 1987 · IEEE Transactions on Computers · 52 citations

• Fast algorithms for the multidimensional discrete Fourier transform

  A. Guessoum, R. Mersereau · 1986 · IEEE Transactions on Acoustics, Speech, and Signal Processing · 50 citations

• Multidimensional fractional Fourier transform and generalized fractional convolution

  R. Kamalakkannan, R. Roopkumar · 2019 · Integral Transforms and Special Functions · 40 citations

• Esscher transform and the duality principle for multidimensional semimartingales

  Ernst Eberlein, Antonis Papapantoleon, Albert N. Shiryaev · 2009 · The Annals of Applied Probability · 39 citations

• Analysis of SAR images by multidimensional wavelet transform

  J.-P. Ovarlez, L. Vignaud, J.-C. Castelli · 2003 · IEE Proceedings - Radar, Sonar and Navigation · 30 citations

• New polynomial transform algorithm for multidimensional DCT

  Yonghong Zeng, Guoan Bi, A.R. Leyman · 2000 · IEEE Transactions on Signal Processing · 28 citations

• Simultaneous Reduction and Expansion of Multidimensional Laplace Transform Kernels

  Larry A. Crum, James A. Heinen · 1974 · SIAM Journal on Applied Mathematics · 23 citations

🆕 Influential since 2022

• Measuring multidimensional inequality: a new proposal based on the Fourier transform

  Paolo Giudici, Emanuela Raffinetti, Giuseppe Toscani · 2024 · Statistics · 31 citations

• CoNoT: Coupled Nonlinear Transform-Based Low-Rank Tensor Representation for Multidimensional Image Completion

  Jian-Li Wang, Ting-Zhu Huang, Xi-Le Zhao · 2024 · IEEE Transactions on Neural Networks and Learning Systems · 18 citations

• Approximation Theorems Associated with Multidimensional Fractional Fourier Transform and Applications in Laplace and Heat Equations

  Yinuo Yang, Qingyan Wu, Seong Tae Jhang · 2022 · Fractal and Fractional · 15 citations

• An Integrated Fast Hough Transform for Multidimensional Data

  Yanhui Li, Xiangchao Gan · 2023 · IEEE Transactions on Pattern Analysis and Machine Intelligence · 13 citations

• Decoherence-Optimized Circuits for Multidimensional and Multilevel-Decomposable Quantum Wavelet Transform

  Naveed Mahmud, Andrew MacGillivray, Manu Chaudhary · 2022 · IEEE Internet Computing · 8 citations

📚 Books worth reading

• Ergodic Theory, Dynamical Systems, and the Continuing Influence of John C. OxtobyJoseph Auslander, Aimee Johnson · 2017

Ranked by number of editions on Open Library, a rough measure of how lasting a book is.

🔗 Related topics

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