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ScaleSpace Theory in Computer Vision
, 1994
"... A basic problem when deriving information from measured data, such as images, originates from the fact that objects in the world, and hence image structures, exist as meaningful entities only over certain ranges of scale. "ScaleSpace Theory in Computer Vision" describes a formal theory fo ..."
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Cited by 617 (21 self)
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is illustrated by a rich set of examples.
This book is the first monograph on scalespace theory. It is intended as an introduction, reference, and inspiration for researchers, students, and system designers in computer vision as well as related fields such as image processing, photogrammetry, medical image
Dynamic ScaleSpace Theories
, 1997
"... Image formation of a twodimensional input image can be quantied by imposing an image induced connection and computing the associated torsion and curvature. The latter aspects of image formation are especially nonvanishing at sets of discontinuities and nonisolated singularities, such as ridges and ..."
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Cited by 1 (1 self)
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and ruts. Next dynamic scalespace theories for the input image are constructed on the basis of an image induced connection. Finally dynamic scalespace theories for the image formation are constructed that are coupled to the image formation itself.
SCALESPACE Theory and Applications
"... Scale is embedded in the task: do you want only coins or TREASURE? ..."
Scalespace theory for auditory signals
"... Abstract. We show how the axiomatic structure of scalespace theory can be applied to the auditory domain and be used for deriving idealized models of auditory receptive fields via scalespace principles. For defining a timefrequency transformation of a purely temporal signal, it is shown that the ..."
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Abstract. We show how the axiomatic structure of scalespace theory can be applied to the auditory domain and be used for deriving idealized models of auditory receptive fields via scalespace principles. For defining a timefrequency transformation of a purely temporal signal, it is shown
Modern Geometry and Dynamic ScaleSpace Theory
 In Proc. Conf. on Dioeerential Geometry and Computer Vision: From Pure over Applicable to Applied Dioeerential Geometry, Nordfjordeid
, 1995
"... Image formation is described by means of modern geometry in terms of curvatures. These curvatures are a quantisation of the set of rules for constructing the image. A simplification of this set of rules is proposed by applying dynamic scalespace theory. ..."
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Cited by 3 (3 self)
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Image formation is described by means of modern geometry in terms of curvatures. These curvatures are a quantisation of the set of rules for constructing the image. A simplification of this set of rules is proposed by applying dynamic scalespace theory.
Morphological ScaleSpace Theory For Segmentation Problems
"... This work presents some new results on the morphological scalespace theory and their use in image segmentation. Basically, we introduce an idempotent smoothing operation based on the recently proposed multiscalemorphological dilationerosion method, and analyse some of its features concerned mainl ..."
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This work presents some new results on the morphological scalespace theory and their use in image segmentation. Basically, we introduce an idempotent smoothing operation based on the recently proposed multiscalemorphological dilationerosion method, and analyse some of its features concerned
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
On the Axioms of Scale Space Theory
"... Abstract. We consider alternative scale space representations beyond the wellestablished Gaussian case that satisfy all “reasonable ” axioms. One of these turns out to be subject to a first order pseudo partial differential equation equivalent to the Laplace equation on the upper half plane {(x, s) ..."
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Abstract. We consider alternative scale space representations beyond the wellestablished Gaussian case that satisfy all “reasonable ” axioms. One of these turns out to be subject to a first order pseudo partial differential equation equivalent to the Laplace equation on the upper half plane {(x, s
From Encyclopedia of Mathematics ScaleSpace Theory
"... Theory of multiscale representation of sensory data developed by the image processing and computer vision communities. The purpose is to represent signals at multiple scales in such a way that fine scale structures are successively suppressed, and a scale parameter t is associated with each level i ..."
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in the multiscale representation. For a given signal f: R N → R, a linear scalespace representation is a family of derived signals L: R N × R → R, defined by L(·; 0)=f(·)and L(·; t) =h(·; t) ∗ f(·)(1) for some family h: RN × R → R of convolution kernels [1, 2]. An essential requirement on a the scalespace
Results 1  10
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