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Euclidean Invariants of Linear ScaleSpaces
, 1998
"... The similarity jet of a linear scalespace is described in its most concise set of local and multilocal Euclidean invariants. The stability and (partial) equivalence of topologies on these invariants regardless additive uniform Gaussian noise is demonstrated. ..."
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Cited by 3 (1 self)
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The similarity jet of a linear scalespace is described in its most concise set of local and multilocal Euclidean invariants. The stability and (partial) equivalence of topologies on these invariants regardless additive uniform Gaussian noise is demonstrated.
Signal Rescalings in Linear ScaleSpace
, 2006
"... In this note we review the consequences in linear scalespace of rescaling a signal; the contents of this note are primarily adapted from the presentation in (Lindeberg, 1998). The results presented in this note play a central role in the formulation of scale invariant interest point detectors (e.g. ..."
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In this note we review the consequences in linear scalespace of rescaling a signal; the contents of this note are primarily adapted from the presentation in (Lindeberg, 1998). The results presented in this note play a central role in the formulation of scale invariant interest point detectors (e
Multidimensional mutual information image similarity metrics based on derivatives of linear scale space
 in Proc. of the APRS Workshop on Dig. Imag. Comp., 2005
"... linear scalespace ..."
Differential and Integral Geometry of Linear ScaleSpaces
, 1992
"... Linear scalespace theory provides a useful framework to quantify the differential and integral geometry of spatiotemporal input images. In this paper that geometry comes about by constructing connections on the basis of the similarity jets of the linear scalespaces and by deriving related systems ..."
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Cited by 4 (3 self)
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Linear scalespace theory provides a useful framework to quantify the differential and integral geometry of spatiotemporal input images. In this paper that geometry comes about by constructing connections on the basis of the similarity jets of the linear scalespaces and by deriving related
Pseudolinear scalespace theory
 International Journal of Computer Vision
, 1999
"... It has been observed that linear, Gaussian scalespace, and nonlinear, morphological erosion and dilation scalespaces generated by a quadratic structuring function have a lot in common. Indeed, farreaching analogies have been reported, which seems to suggest the existence of an underlying isomorph ..."
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Cited by 17 (5 self)
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It has been observed that linear, Gaussian scalespace, and nonlinear, morphological erosion and dilation scalespaces generated by a quadratic structuring function have a lot in common. Indeed, farreaching analogies have been reported, which seems to suggest the existence of an underlying
Linear ScaleSpace Theory from Physical Principles
 IN JOURNAL OF MATHEMATICAL IMAGING AND VISION
, 1995
"... In the past decades linear scalespace theory was derived on the basis of various axiomatics. In this paper we revisit these axioms and show that they merely coincide with the following physical principles, namely that the image domain is a Galilean space, that the total energy exchange between a re ..."
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Cited by 7 (5 self)
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In the past decades linear scalespace theory was derived on the basis of various axiomatics. In this paper we revisit these axioms and show that they merely coincide with the following physical principles, namely that the image domain is a Galilean space, that the total energy exchange between a
NonLinear ScaleSpaces Isomorphic to the Linear Case
 Journal of Mathematical Imaging and Vision
, 1999
"... An innite dimensional class of isomorphisms is considered, relating a particular class of nonlinear scalespaces to the wellestablished linear case. The nonlinearity pertains to an invertible mapping of greyvalues, which can be adapted so as to account for external knowledge. This is particularly ..."
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Cited by 6 (3 self)
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An innite dimensional class of isomorphisms is considered, relating a particular class of nonlinear scalespaces to the wellestablished linear case. The nonlinearity pertains to an invertible mapping of greyvalues, which can be adapted so as to account for external knowledge. This is particularly
Segmenting by Compression using Linear ScaleSpace and Watersheds
 in Proceedings of Second International Conference on Scale Space Theories in Computer Vision
, 1999
"... . Automatic segmentation is performed using watersheds of the gradient magnitude and compression techniques. Linear ScaleSpace is used to discover the neighbourhood structure and catchment basins are locally merged with Minimum Description Length. The algorithm can form a basis for a large rang ..."
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. Automatic segmentation is performed using watersheds of the gradient magnitude and compression techniques. Linear ScaleSpace is used to discover the neighbourhood structure and catchment basins are locally merged with Minimum Description Length. The algorithm can form a basis for a large
Linear ScaleSpace has First been Proposed in Japan
, 1999
"... Linear scalespace is considered to be a modern bottomup tool in computer vision. The American and European vision community, however, is unaware of the fact that it has already been axiomatically derived in 1959 in a Japanese paper by Taizo Iijima. This result formed the starting point of vast li ..."
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Cited by 42 (5 self)
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Linear scalespace is considered to be a modern bottomup tool in computer vision. The American and European vision community, however, is unaware of the fact that it has already been axiomatically derived in 1959 in a Japanese paper by Taizo Iijima. This result formed the starting point of vast
Results 1  10
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1,055,798