Hochschulschrift
Discrete scale space formulation and multiscale edge extraction toward higher dimensions
This thesis addresses the problem of a discrete scale-space formulation in the context of multiscale edge extraction extended toward higher dimensions. The first part of the thesis focuses on the discrete scale-space formulation. After analyzing the problem of the commonly used sampled Gaussian for approximating the continuous Gaussian, we propose a supplemented discrete scale-space formulation for 2-D and 3-D signals starting out from Lindeberg's 2-D discrete scale-space formulation. Moreover, we investigate the properties of the derived discrete scale-space kernels and carry out a validation study with respect to smoothing and differentiation performance. In the second part, based on classifying higher dimensional edges according to local curvature, we exemplarily establish 2-D edge models for straight edges as well as for circular edges. Utilizing these models, we develop a theoretical framework for optimal scale selection, where the effects of curvature as related to scale in multiscale edge extraction are analyzed. An experimental validation is carried out.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- ISBN
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9783898382724
3898382729
- Dimensions
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21 cm
- Extent
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XVII, 202 S.
- Language
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Englisch
- Notes
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Ill., graph. Darst.
Zugl.: Hamburg, Univ., Diss., 2003
- Bibliographic citation
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Dissertationen zur künstlichen Intelligenz ; 272
- Classification
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Informatik
Mathematik
- Keyword
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Konturfindung
Dreidimensionale Rekonstruktion
Mehrskalenanalyse
Konturfindung
Bildabtastung
Gauß-Filter
Skalenraum
- Event
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Veröffentlichung
- (where)
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Berlin
- (who)
-
Aka
- (when)
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2003
- Creator
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Lim, Ji-Young
- Table of contents
- Rights
-
Bei diesem Objekt liegt nur das Inhaltsverzeichnis digital vor. Der Zugriff darauf ist unbeschränkt möglich.
- Last update
-
11.03.2025, 12:20 PM CET
Data provider
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Object type
- Hochschulschrift
Associated
- Lim, Ji-Young
- Aka
Time of origin
- 2003
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The supplemented discrete scale-space formulation
Multiscale algorithms in discrete optimization
Staying at the Edge of Privacy: Edge Computing and Impersonal Extraction
Rotationally invariant formulation of spin-lattice coupling in multiscale modeling
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Multiscale analysis of non-convex discrete systems via \(\Gamma\)-convergence
Multiscale analysis of non-convex discrete systems via T-convergence
Planning and scheduling with multiple intermediate due dates : an effective discrete time model formulation
Validation of the optimal scale selection approach in higher dimensional edge extraction
Multi-scale integral invariants for robust character extraction from irregular polygon mesh data
On higher dimensional multiscale edge extraction
Extraction and formulation of plant substances
The supplemented discrete scale-space formulation
Multiscale algorithms in discrete optimization
Staying at the Edge of Privacy: Edge Computing and Impersonal Extraction
Rotationally invariant formulation of spin-lattice coupling in multiscale modeling
Hybrid Stress Visco-plasticity: Formulation, Discrete Approximation, and Stochastic Identification
Multiscale analysis of non-convex discrete systems via \(\Gamma\)-convergence
Multiscale analysis of non-convex discrete systems via T-convergence
Planning and scheduling with multiple intermediate due dates : an effective discrete time model formulation
Validation of the optimal scale selection approach in higher dimensional edge extraction