lTER WAVEFORM RECOGNITION IN THE PRESENCE OF DOMAIN AND AMPLITUDE
نویسنده
چکیده
Absfmct--In this paper, we discuss the problem of recognizing single-dimensional, real-valued, functions in the presence of domain noise (Le., noise that affects the domain rather than the amplitud~). This problem is inspired by the field of on-line character recognition where it is more natural to view the hand as deforming the domain of the character rather than adding noise to its am~l~tude. The results obtained illutrate the di faces when dealing with both domain and amplitude deformation of waveforms or images. Our major result is a set of sufficient conditions that, a recognition metric has to satisfy. Examples of metrics that satisfy these conditions, and hence are appropriate for recognition when the deformation affects the domain rather than the amp~itude, include the supnorm metric and the total variation metric. Furthermore, we extend the results to the case when a waveform is corrupted by both amplitude and domain deformation.
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