Discrete scale space formulation and multiscale edge extraction toward higher dimensions

Hochschulschrift

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.

Object Details

• Location: Deutsche Nationalbibliothek Frankfurt am Main
• ISBN: 9783898382724 ; 3898382729
• Dimensions: 21 cm
• Extent: XVII, 202 S.
• Language: Englisch
• Notes: Ill., graph. Darst. ; Zugl.: Hamburg, Univ., Diss., 2003

References and Relationships

• Bibliographic citation: Dissertationen zur künstlichen Intelligenz ; 272

Classification and Topics

• Classification: Informatik ; Mathematik
• Keyword: Konturfindung ; Dreidimensionale Rekonstruktion ; Mehrskalenanalyse ; Konturfindung ; Bildabtastung ; Gauß-Filter ; Skalenraum

Contributors, Places and Time

• Event: Veröffentlichung
• (where): Berlin
• (who): Aka
• (when): 2003
• Creator: Lim, Ji-Young

Further information

• Table of contents: https://d-nb.info/968877788/04
• Rights: Bei diesem Objekt liegt nur das Inhaltsverzeichnis digital vor. Der Zugriff darauf ist unbeschränkt möglich.
• Last update: 11.06.2025, 2:28 PM CEST