Quaternion fourier transform for character motions

Ben Kenwright*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)


The Fourier transform plays a crucial role in a broad range of signal processing applications, including enhancement, restoration, analysis, and compression. Since animated motions comprise of signals, it is no surprise that the Fourier transform has been used to filter animations by transforming joint signals from the spatial domain to the frequency domain and then applying filtering masks. However, in this paper, we filter motion signals by means of a new approach implemented using hyper-complex numbers, often referred to as Quaternions, to represent angular joint displacements. We use the novel quaternion Fourier transform (QFT) to perform filtering by allowing joint motions to be transformed as a 'whole', rather than as individual components. We propose a holistic Fourier transform of the joints to yield a single frequency-domain representation based on the quaternion Fourier coefficients. This opens the door to new types of motion filtering techniques. We apply the concept to the frequency domain for noise reduction of 3-dimensional motions. The approach is based on obtaining the QFT of the joint signals and applying Gaussian filters in the frequency domain. The filtered signals are then reconstructed using the inverse quaternion Fourier transform (IQFT).

Original languageEnglish
Title of host publication12th Workshop on Virtual Reality Interactions and Physical Simulations
EditorsJaillet Fabrice, Florence Zara, Gabriel Zachmann
PublisherThe Eurographics Association
Number of pages4
ISBN (Electronic)9783905674989
Publication statusPublished - 2015
Event12th Workshop on Virtual Reality Interactions and Physical Simulations 2015 - Lyon, France
Duration: 4 Nov 20155 Nov 2015


Conference12th Workshop on Virtual Reality Interactions and Physical Simulations 2015
Abbreviated titleVRIPHYS 2015

ASJC Scopus subject areas

  • Software
  • Modelling and Simulation


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