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Parametric representation of digital shapes by Gaussian functions - MaRDI portal

Parametric representation of digital shapes by Gaussian functions (Q1208635)

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scientific article; zbMATH DE number 166653
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Parametric representation of digital shapes by Gaussian functions
scientific article; zbMATH DE number 166653

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    Parametric representation of digital shapes by Gaussian functions (English)
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    16 May 1993
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    The author uses scale-space filtering as defined by \textit{A. P. Witkin} [Scale-space filtering: a new approach to multi-scale description, Proc. Image Understanding 79-95 (1984)] and representation of functions by sums of exponentials \(\Sigma A_ i\exp(-(t_ k-t_ i)^ 2/\sigma_ i)\) using a least squares algorithm to obtain the coefficients. Their experiments show that their method achieves a higher rate of data compression in the representation of curves but at a heavy cost in computer time.
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    Marquardt algorithm
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    Fourier descriptors
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    digital shapes
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    Gaussian functions
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    scale-space filtering
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    sums of exponentials
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    least squares algorithm
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    data compression
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    representation of curves
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