Cai & Kou: Three-dimensional generalized analytic signal associated with linear canonical transform in Clifford biquaternion domain


Cai, Z. and Kou, K. I., Three-dimensional generalized analytic signal associated with linear canonical transform in Clifford biquaternion domain, Math. Meth. Appl. Sci. (2023), 115. DOI 10.1002/mma.9204
Abstract: Analytic signal is a useful mathematical tool. It separates qualitative and quantitative information of a signal in form of the local phase and local amplitude. Clifford Fourier transform Continue reading
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1st Call for Papers: Empowering Novel Geometric Algebra for Graphics & Engineering Workshop @ CGI 2023 – 28th Aug. 2023 (hybrid)


The ACM Siggraph 2001 and 2003 saw Geometric Algebra (GA) featured in the form of a Keynote and a Course. Since then the GA community has highlighted the benefits of employing W. K. Clifford’s GA, quaternions and octonions for computer graphics and vision problems. The advances were presented at the Workshops CGI’2016 on “Geometric Algebra in Computer Science and Engineering” and every year at CGI’2017-2022 on “Empowering Novel Geometric Algebra for Graphics & Engineering (ENGAGE)” and have underlined the power of GA for analysis and computation. The Siggraph 2019 course on PGA and GAME2020, further boost GA and associated algebras as a language for Graphics.

Under the auspices of CGI’23 (hybrid, 28 Aug.-01 Sep. 2023), ENGAGE 2023 on Aug. 28th in Shanghai, China, with keynote by Alyn Rockwood, Continue reading

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IEEE SPM: Special Issue on Hypercomplex Signal and Image Processing, deadline extended to: 20 March 2023


CALL FOR PAPERS — White paper deadline extended to: 20 March 2023!
Special Issue on Hypercomplex Signal and Image Processing

Novel computational signal and image analysis approaches based on featurerich mathematical/computational frameworks continue to push the limits of the technological envelope, thus providing optimized and efficient solutions. This special issue seeks to offer broad coverage of the theme with an emphasis on techniques and applications in any scientific field (mathematics, physics, computer science, engineering, chemistry, biology, medicine, etc.) that focus on the analysis of signals and images in the hypercomplex domain, the advantages over conventional approaches, and related arising research questions. Submissions of comprehensive reviews and tutorial articles of methodological advances are strongly encouraged. Contributions on the interface of methodological approaches and applications as well as purely applicationoriented submissions are also encouraged.

The objectives of the special issue are to:

a) present theoretical and computational concepts from the hypercomplex domain related to signal and image processing in an accessible style,

b) demonstrate the benefits of developing solutions in a unified framework for algebra and geometry utilizing hypercomplex numbers,

c) be wellaligned with contemporary research paradigms on the interface of computer science, engineering, and mathematics, with the widest possible scope within the current trends in signal and image processing, and

d) stimulate researchers in developing novel solutions to pressing research issues.

Topics of interest
Pertinent to communication, audio, speech, biomedical, physiological, and other signals, as well as natural, biomedical, remote sensing, and other images, the topics of interest – in the hypercomplex domain – include, but are not limited to:
▪ Integral transforms and applications in signal and image analysis.
▪ Clifford algebras and dimensionality reduction for signal analysis.
▪ Color and grayscale image processing.
▪ Generalized analytic signals in image processing.
▪ Tensor decompositions for signal processing and pattern recognition.
▪ Machine learning, including deep learning and graph neural networks.
▪ Geographic information systems.
▪ Embedded systems design and prototyping.
▪ Specialized applications: image compression, image encryption, image authentication, point clouds, remote sensing, compressed sensing, hyperspectral image processing, biomedical data analysis, robotics, speech recognition, computer vision, virtual reality, etc.

Important Dates
White papers (4 pages) extended to: March 20, 2023
▪ Invitation notification: April 15, 2023
▪ Full manuscripts due: September 1, 2023
▪ First review results and decision notification: November 1, 2023
▪ Revised manuscripts due: January 1, 2024
▪ Second review results and decision notification: March 1, 2024
▪ Final manuscripts due: April 1, 2024
▪ Publication due: July 2024 issue

White papers are required and full articles are invited based on the review of white papers. The white paper format is up to 4 pages in length, including the proposed title, motivation, and significance of the topic, an outline of the proposed paper, and representative references. An author list with contact information and short bios should also be included. Submitted articles must be of tutorial/overview/survey nature, written in an accessible style, and have a significant relevance to the scope of the special issue. The submitted articles should provide novel insights but also explain complex concepts in a way that is easily accessible to the non-expert audience. All submissions are peer-reviewed according to the IEEE Signal Processing Magazine guidelines. Submitted manuscripts should not have been published previously nor be under consideration for publication elsewhere.
Manuscripts should be submitted online: http://mc.manuscriptcentral.com/sps-ieee
Guidelines: https://signalprocessingsociety.org/publications-resources/ieee-signal-processing-magazine/information-authors-spm

Guest editors

  • Nektarios A. Valous; German Cancer Research Center, Germany, nek.valous@nct-heidelberg.de
  • Eckhard Hitzer; International Christian University, Japan, hitzer@icu.ac.jp
  • Salvatore Vitabile; University of Palermo, Italy, salvatore.vitabile@unipa.it
  • Swanhild Bernstein; TU Bergakademie Freiberg, Germany, swanhild.bernstein@math.tu-freiberg.de
  • Carlile Lavor; University of Campinas, Brazil, clavor@unicamp.br
  • Derek Abbott; University of Adelaide, Australia, derek.abbott@adelaide.edu.au
  • Maria Elena Luna-Elizarrarás; Holon Institute of Technology, Israel, lunae@hit.ac.il
  • Wilder Lopes; GraphStax LLC, USA and Ogarantia SAS, France, wilder@ogarantia.com

Source: https://signalprocessingsociety.org/blog/ieee-spm-special-issue-hypercomplex-signal-and-image-processing, access 16 Dec. 2022.

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Session: Fourier and other Integral Transformations with Clifford Algebras, Quaternions and Octonions V, ICCA13, 4-9 June 2023, Holon, Israel. Abstract (1p) deadline: 01 April 2023!


Registration open! Abstract (1 page) deadline: 01 April 2023!

Dear Colleagues,

On behalf of the Scientific Committee of the 13th International Conference on Clifford Algebras and Their Applications in Mathematical Physics (ICCA13), it is a great pleasure for us to invite you in person to the ancient city of Jaffa (Israel) to present some of your latest results in the ICCA13 conference.

We are organizing a 5th session on Fourier and other Integral Transformations with Clifford Algebras, Quaternions and Octonions Continue reading

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R.K.S. Hankin: Clifford algebra in R


Robin K. S. Hankin, Clifford algebra in R, 8 pages (2022), arxiv preprint: https://arxiv.org/abs/2209.13659

Abstract: Here I present the ‘clifford’ package for working with Clifford algebras in the R programming language. The algebra is described and package idiom is given.

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I. Zaplana et al: Singularities of Serial Robots: Identification and Distance Computation Using Geometric Algebra


Zaplana, Isiah, Hugo Hadfield, and Joan Lasenby. 2022. “Singularities of Serial Robots: Identification and Distance Computation Using Geometric Algebra” Mathematics 10, no. 12: 2068. 27 pages. Open Access, https://doi.org/10.3390/math10122068

Abstract: The singularities of serial robotic manipulators are those configurations in which the robot loses Continue reading

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Website with many translations of classical works in geometry


http://neo-classical-physics.info/geometry.html, accessed 27 Feb. 2023. Includes works by Killing, Engel, Lie, Cartan, Chern, Dupin, Bertrand, Kummer, Pluecker, Clebsch, Klein, etc.

Source: Recommendation by Leo Dorst, L.Dorst_AT_uva.nl, 2023/02/25 20:30.

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Hitzer et al: Survey of New Applications of Geometric Algebra


Eckhard Hitzer, Manos KamarianakisGeorge PapagiannakisPetr Vašík, Survey of New Applications of Geometric Algebra. Preprint Authorea. 21 pages, February 20, 2023. DOI: 10.22541/au.167687105.52780013/v1

Abstract: This survey introduces 101 new publications on applications of Clifford’s geometric algebras (GA) newly published during 2022 (until mid-January 2023). Continue reading

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Reminder IEEE SPM: Special Issue on Hypercomplex Signal and Image Processing, deadline: 01 March 2023


CALL FOR PAPERS — White paper deadline: 01 March 2023!
Special Issue on Hypercomplex Signal and Image Processing

Novel computational signal and image analysis approaches based on featurerich mathematical/computational frameworks continue to push the limits of the technological envelope, thus providing optimized and efficient solutions. Continue reading

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Xieping Wang (USTC Hefei) Awarded 2023 W.K. Clifford Prize


Xieping Wang Awarded W.K. Clifford Prize

Xieping Wang of University of Science and Technology of China in Hefei has been selected as the recipient of the 2023 W. K. Clifford Prize for his outstanding contributions to the field of Clifford analysis. Continue reading

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