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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
PseudoLinear ScaleSpace Theory  Towards The Integration of Linear and. . .
 International Journal of Computer Vision
, 1997
"... 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 1 (1 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
c ° 1999 Kluwer Academic Publishers. Manufactured in The Netherlands. PseudoLinear ScaleSpace Theory
, 1998
"... Abstract. 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 underlyin ..."
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Abstract. 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
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
Stochastic Perturbation Theory
, 1988
"... . In this paper classical matrix perturbation theory is approached from a probabilistic point of view. The perturbed quantity is approximated by a firstorder perturbation expansion, in which the perturbation is assumed to be random. This permits the computation of statistics estimating the variatio ..."
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Cited by 886 (35 self)
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and the eigenvalue problem. Key words. perturbation theory, random matrix, linear system, least squares, eigenvalue, eigenvector, invariant subspace, singular value AMS(MOS) subject classifications. 15A06, 15A12, 15A18, 15A52, 15A60 1. Introduction. Let A be a matrix and let F be a matrix valued function of A
Feature detection with automatic scale selection
 International Journal of Computer Vision
, 1998
"... The fact that objects in the world appear in different ways depending on the scale of observation has important implications if one aims at describing them. It shows that the notion of scale is of utmost importance when processing unknown measurement data by automatic methods. In their seminal works ..."
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Cited by 713 (34 self)
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works, Witkin (1983) and Koenderink (1984) proposed to approach this problem by representing image structures at different scales in a socalled scalespace representation. Traditional scalespace theory building on this work, however, does not address the problem of how to select local appropriate
ChernSimons Gauge Theory as a String Theory
, 2003
"... Certain two dimensional topological field theories can be interpreted as string theory backgrounds in which the usual decoupling of ghosts and matter does not hold. Like ordinary string models, these can sometimes be given spacetime interpretations. For instance, threedimensional ChernSimons gaug ..."
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Cited by 551 (14 self)
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Certain two dimensional topological field theories can be interpreted as string theory backgrounds in which the usual decoupling of ghosts and matter does not hold. Like ordinary string models, these can sometimes be given spacetime interpretations. For instance, threedimensional Chern
String theory and noncommutative geometry
 JHEP
, 1999
"... We extend earlier ideas about the appearance of noncommutative geometry in string theory with a nonzero Bfield. We identify a limit in which the entire string dynamics is described by a minimally coupled (supersymmetric) gauge theory on a noncommutative space, and discuss the corrections away from ..."
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Cited by 801 (8 self)
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We extend earlier ideas about the appearance of noncommutative geometry in string theory with a nonzero Bfield. We identify a limit in which the entire string dynamics is described by a minimally coupled (supersymmetric) gauge theory on a noncommutative space, and discuss the corrections away from
Qualitative process theory
 MIT AI Lab Memo
, 1982
"... Objects move, collide, flow, bend, heat up, cool down, stretch, compress. and boil. These and other things that cause changes in objects over time are intuitively characterized as processes. To understand commonsense physical reasoning and make programs that interact with the physical world as well ..."
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Cited by 884 (92 self)
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motivates a new qualitative representation for quantity in terms of inequalities, called the quantity space. This paper describes the basic concepts of qualitative process theory, several different kinds of reasoning that can be performed with them, and discusses its implications for causal reasoning
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