The Orthonormal Fourier-Mellin Transform For Precision Scale Detection And Range Data Acquisition

John D. McMillen; O. R. Mitchell

doi:10.1117/12.942716

19 February 1988 The Orthonormal Fourier-Mellin Transform For Precision Scale Detection And Range Data Acquisition

John D. McMillen, O. R. Mitchell

Proceedings Volume 0848, Intelligent Robots and Computer Vision VI; (1988) https://doi.org/10.1117/12.942716
Event: Advances in Intelligent Robotics Systems, 1987, Cambridge, CA, United States

Abstract

The Mellin transform converts reference frame scale information into phase information. This property makes the Mellin transform appropriate for determining the scale difference between two signals and for determining features which are invariant to scale change : partial shape recognition, recognition of objects at various distances, speech or brain wave processing, range mapping, processing of doppler shifted signals. A recent study [1] reveals a generalized Mellin transform which, when indexed properly, produces an orthonormal version which is superior to the Mellin transform typically seen in the literature. The orthonormal Mellin transform, the Fourier-Mellin transform and their properties are discussed. The performance of scale detection of digitized curves and its application to monocular range acquisition in a robot vision system are investigated. Key words: Mellin transform, Fourier-Mellin transform, Discrete Mellin Transform, scale detection, range acquisition

Citation Download Citation

John D. McMillen and O. R. Mitchell "The Orthonormal Fourier-Mellin Transform For Precision Scale Detection And Range Data Acquisition", Proc. SPIE 0848, Intelligent Robots and Computer Vision VI, (19 February 1988); https://doi.org/10.1117/12.942716

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