Temporal scale spaces

International Journal of Computer Vision

Volumn 64, Issue 2-3, 2005, Pages 97-106

  Fagerström, Daniel ^a  

^a ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

Fractional diffusion; Scale space; Stable density functions; Temporal measurement

Indexed keywords

CONVOLUTION; DATA REDUCTION; DIFFUSION; MEASUREMENT THEORY; SIGNAL PROCESSING;

FRACTIONAL DIFFUSION; SCALING COVARIANCE; STABLE DENSITY FUNCTIONS; TEMPORAL MEASUREMENTS;

COMPUTER VISION;

EID: 24944448316     PISSN: 09205691     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11263-005-1837-8     Document Type: Conference Paper

References (15)

1. Aczél, J. and Dhombres, J. (1989). Functional Equations in Several Variables. Encyclopaedia of Mathematics and its Applications. Cambridge University Press.
2. Feller, W. (1966). An Introduction to Probability Theory and its Application, vol. 2. John Willey & Sons, Inc.
3. Florack, L.M.J. (1997). Image Structure. Series in Mathematical Imaging and Vision. Kluwer Academic Publishers, Dordrecht, Netherlands.
4. Hille, E. and Phillips, R.S. (1957). Functional Analysis and Semi-Groups. American Mathematical Society.
5. Koenderink, J.J. (1988). Scale-time. Biological Cybernetics 58:169-162.
6. Koenderink, J.J., Kappers, A., and van Doom, A.J. (1992). Local operations: The embodiment of geometry. Artificial and Biological Vision Systems, Basic Research Series, Orban, G.A. and Nagel, H.H. (Eds.), Springer Verlag, pp. 1-23.
7. Lindeberg, T. and Fagerström, D. (1996). Scale-space with causal time direction. In Proc. 4th European Conference on Computer Vision, vol. 1064, Cambridge, UK, Springer Verlag, Berlin, pp. 229-240.
8. Pauwels, E.J., VanGool, L.J., Fiddelaers, P., and Moons, T. (1995). An extended class of scale-invariant and recursive scale space filters. PAMI 17(7):691-701.
9. Podlubny, I. (1999). Fractional Differential Equations. Academic Press.
10. Richtmyer, R.D. and Morton, K.W. (1967). Difference Methods for Initial-Value Problems, 2nd edition. Interscience Publishers.
11. Salden, A.H., Haar Romeny, B.M. ter and Viergever, M.A. (1998). Linear scale-space theory from physical principles. JMIV, 9(2):103-139.
12. Samko, S.G., Kilbas, A.A., and Marichev, O.I. (1992). Fractional Integrals and Derivatives : Theory and Applications. Gordon and Breach Science Publishers, cop., Yverdon.
13. Saulyev, V.K. (1964). Integration of Equatioons of Parabolic Type by the Method of Nets. Pergamon Press.
14. Treves, F. (1967). Topological Vector Spaces, Distributions and Kernels. Academic Press.
15. Weickert, J., Ishikawa, S., Imiya, A. (1997). On the history of gaussian scale-space axiomatics. Gaussian Scale-Space Theory, 45-59.