Abstract
In this chapter we will try to relate axiomatic formulations of scale-spaces with regularization theory. Most axiomatic formulations do not directly require regularity properties of scale-space. Nevertheless, an analytic filter is singled out so that scale-space appears to have strong regularity properties. These properties could also be stated as first principles in terms of Tikhonov regularization. In this chapter we study how scale-space properties as described in previous chapters and regularity properties interact in axiomatic formulations.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1997 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Nielsen, M. (1997). Scale-Space Generators and Functionals. In: Sporring, J., Nielsen, M., Florack, L., Johansen, P. (eds) Gaussian Scale-Space Theory. Computational Imaging and Vision, vol 8. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8802-7_7
Download citation
DOI: https://doi.org/10.1007/978-94-015-8802-7_7
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4852-3
Online ISBN: 978-94-015-8802-7
eBook Packages: Springer Book Archive