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The B-Spline Channel Representation: Channel Algebra and Channel Based Diffusion Filtering

Michael Felsberg, Hanno Scharr, Per-Erik Forssén
September 2002


In this paper we consider the channel representation based upon quadratic B-splines from a statistical point of view. Interpreting the channel representation as a kernel method for estimating probability density functions, we establish a channel algebra which allows to perform basic algebraic operations on measurements directly in the channel representation. Furthermore, as a central point, we identify the smoothing of channel values with a robust estimator, or equivalently, a diffusion process.


channel representation, splines, kernel method, channel algebra, robust estimator, diffusion

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Bibtex entry

  author = 	 {Michael Felsberg and Hanno Scharr and Per-Erik Forss\'en},
  title = 	 {The {B}-Spline Channel Representation: Channel Algebra and
                  Channel Based Diffusion Filtering},
  institution =  {Dept. EE, Link\"oping University},
  year = 	 {2002},
  number = 	 {LiTH-ISY-R-2461},
  address = 	 {SE-581 83 Link\"oping, Sweden},
  month = 	 {September}

Per-Erik Forssén

Per-Erik Forssén


Computer Vision Laboratory
Department of Electrical Engineering
Building B
Room 2D:521
SE-581 83 Linköping, Sweden
+46(0)13 285654

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