Abstract
This paper investigates structural properties of diffusive scale-spaces and develops a Riemannian description based on electromagnetic (EM) field theory. The generalized diffusion equation defining photometric transitions is interpreted as a Lorentz gauge condition expressing the trace Lorentz-invariance of an EM quadripotential with covariant scalar and contravariant vector components, respectively related to photometric and geometric image properties. This gauge condition determines EM quadrifield and quadricharge which satisfy Maxwell equations. Deriving their general expressions as functions of scale-space geometric or energetic features yields Lorentz-invariants which synthetize intrinsic multiscale image properties.
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© 1996 Springer-Verlag London Limited
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Rougon, N., Prêteux, F. (1996). Understanding the structure of diffusive scale-spaces. In: Berger, MO., Deriche, R., Herlin, I., Jaffré, J., Morel, JM. (eds) ICAOS '96. Lecture Notes in Control and Information Sciences, vol 219. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-76076-8_122
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DOI: https://doi.org/10.1007/3-540-76076-8_122
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