### Abstract

A gradient-based image analysis technique is applied to a class of non-Fourier stimuli. To create the stimuli, n translating sine waves with identical spatial and temporal frequencies, but separated by 2Ï€/n radians, are spatially randomly sampled to produce a Pn stimulus. For ngt-or-equal, slanted2, the stimuli are non-Fourier. Local image gradients are represented in the form of a gradient plot, a histogram which shows the frequency of ranges of temporal gradient/spatial gradient pairs occurring. It is shown that the gradient plots contain features, oriented in gradient space, which indicate correct non-Fourier velocity. As n increases, so too does the complexity of the gradient plots, a finding which may account for the concomitant decrease in perceived coherent motion [Vision Res 37 (1997) 1459]. This paper demonstrates that the gradient plot and associated velocity plots are a useful way of assessing gradient-based motion information. Compared to the traditional Fourier based approach, gradient-based analysis can lead to different judgement of the motion information available to standard models of low-level motion processing.

Translated title of the contribution | Gradient-based analysis of non-Fourier motion |
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Original language | English |

Pages (from-to) | 2869 - 2877 |

Number of pages | 9 |

Journal | Vision Research |

Volume | 42 (26) |

DOIs | |

Publication status | Published - Nov 2002 |

### Bibliographical note

Publisher: Elsevier## Fingerprint Dive into the research topics of 'Gradient-based analysis of non-Fourier motion'. Together they form a unique fingerprint.

## Cite this

Benton, CP. (2002). Gradient-based analysis of non-Fourier motion.

*Vision Research*,*42 (26)*, 2869 - 2877. https://doi.org/10.1016/S0042-6989(02)00328-0