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SUMMARY:Beyond the digital divide: Ten good reasons for using splines
DTSTART:20100519T161500
DTSTAMP:20260405T200453Z
UID:d321438ddc4424a1b97675de40ab9e1bbca3cfeb36abdb050db37080
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Michaël Unser\n"Think analog\, act digital" is a motto 
 that is relevant to scientific computing and algorithm design in a variety
  of disciplines\, including numerical analysis\, image/signal processing\,
  and computer graphics.\nHere\, we will argue that cardinal splines consti
 tute a theoretical and computational framework that is ideally matched to 
 this philosophy\, especially when the data is available on a uniform grid.
   \nWe show that multidimensional spline interpolation or approximation ca
 n be performed most efficiently using recursive digital filtering techniqu
 es. We highlight a number of "optimal" aspects of splines (in particular\,
  polynomial ones) and discuss fundamental relations with: (1) Shannon's sa
 mpling theory\, (2) linear system theory\, (3) wavelet theory\, (4) regula
 rization theory\, (5) estimation theory\, and (6) stochastic processes (in
  particular\, fractals). The practicality of the spline framework is illus
 trated with concrete image processing examples\; these include derivative-
 based feature extraction\, high-quality rotation and scaling\, and (rigid 
 body or elastic) image registration.
LOCATION:MAA112
STATUS:CONFIRMED
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