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Hausdorff dimension
Known as:
Capacity dimension
, Hausdorff–Besicovitch dimension
, Besicovitch - Hausdorff dimension
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Hausdorff dimension is a concept in mathematics introduced in 1918 by mathematician Felix Hausdorff, and it serves as a measure of the local size of…
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Related topics
Related topics
49 relations
Apollonian gasket
Assouad dimension
Brownian motion
Cantor function
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Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
Highly Cited
2015
Highly Cited
2015
Fourier Analysis and Hausdorff Dimension
P. Mattila
2015
Corpus ID: 118000406
Preface Acknowledgements 1. Introduction 2. Measure theoretic preliminaries 3. Fourier transforms 4. Hausdorff dimension of…
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Highly Cited
2002
Highly Cited
2002
Calculating Hausdorff dimension of Julia sets and Kleinian limit sets
O. Jenkinson
,
M. Pollicott
2002
Corpus ID: 14081502
We present a new algorithm for efficiently computing the Hausdorff dimension of sets X invariant under conformal expanding…
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Highly Cited
2001
Highly Cited
2001
Robust Face Detection Using the Hausdorff Distance
O. Jesorsky
,
K. Kirchberg
,
Robert Frischholz
International Conference on Audio- and Video…
2001
Corpus ID: 2274476
The localization of human faces in digital images is a fundamental step in the process of face recognition. This paper presents a…
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Highly Cited
2000
Highly Cited
2000
Sets of “Non-typical” points have full topological entropy and full Hausdorff dimension
L. Barreira
,
J. Schmeling
2000
Corpus ID: 12795029
For subshifts of finite type, conformal repellers, and conformal horseshoes, we prove that the set of points where the pointwise…
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Highly Cited
1998
Highly Cited
1998
Hausdorff dimension and conformal dynamics, III: Computation of dimension
C. McMullen
1998
Corpus ID: 15928775
This paper presents an eigenvalue algorithm for accurately computing the Hausdorff dimension of limit sets of Kleinian groups and…
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Highly Cited
1994
Highly Cited
1994
A modified Hausdorff distance for object matching
Marie-Pierre Dubuisson
,
Anil K. Jain
Proceedings of 12th International Conference on…
1994
Corpus ID: 46947070
The purpose of object matching is to decide the similarity between two objects. This paper introduces 24 possible distance…
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Highly Cited
1993
Highly Cited
1993
Comparing Images Using the Hausdorff Distance
D. Huttenlocher
,
G. A. Klanderman
,
W. Rucklidge
IEEE Transactions on Pattern Analysis and Machine…
1993
Corpus ID: 8027136
The Hausdorff distance measures the extent to which each point of a model set lies near some point of an image set and vice versa…
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Highly Cited
1988
Highly Cited
1988
Hausdorff dimension in graph directed constructions
R. Mauldin
,
S. C. Williams
1988
Corpus ID: 53967994
We introduce the notion of geometric constructions in Rm governed by a directed graph G and by similarity ratios which are…
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Highly Cited
1986
Highly Cited
1986
On the Hausdorff dimension of some graphs
R. Mauldin
,
S. C. Williams
1986
Corpus ID: 122920296
Consider the functions Wb(x)= b-cn[1(bnX + On)--1(0n)] n=-oo where b > 1, 0 0 such that if b is large enough, then the Hausdorff…
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Highly Cited
1968
Highly Cited
1968
Real and complex analysis
W. Rudin
1968
Corpus ID: 119027153
Preface Prologue: The Exponential Function Chapter 1: Abstract Integration Set-theoretic notations and terminology The concept of…
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