Efficient Robust Smoothing of Low-Level Signal Features
2004 (English)Report (Other academic)
In this paper we present a new and efficient method to implement robust smoothing of low-level signal features: B-spline channel smoothing. This method consists of three steps: encoding of the signal features into channels, averaging of the channels, and decoding of the channels. We show that linear smoothing of channels is equivalent to robust smoothing of the signal features, where we make use of quadratic B-splines to generate the channels. The linear decoding from B-spline channels allows to derive a robust error norm which is very similar to Tukey's biweight error norm. Channel smoothing is superior to iterative robust smoothing implementations like non-linear diffusion, bilateral filtering, and mean-shift approaches for four reasons: it has lower computational complexity, it is easy to implement, it chooses the global minimum error instead of the nearest local minimum, and it can also be used on non-linear spaces, such as orientation space. In the experimental part of the paper we compare channel smoothing and the previously mentioned three other approaches for 2D orientation data.
Place, publisher, year, edition, pages
Linköping, Sweden: Linköping University, Department of Electrical Engineering , 2004. , 33 p.
LiTH-ISY-R, ISSN 1400-3902 ; 2619
robust smoothing, channel representation, diffusion filtering, bilateral filtering, mean-shift, B-spline, orientation smoothing
Engineering and Technology
IdentifiersURN: urn:nbn:se:liu:diva-53343ISRN: LiTH-ISY-R-2619OAI: oai:DiVA.org:liu-53343DiVA: diva2:288553