Behavior of edges in scale space
- 1 April 1989
- journal article
- research article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Pattern Analysis and Machine Intelligence
- Vol. 11 (4) , 337-356
- https://doi.org/10.1109/34.19032
Abstract
An analysis is presented of the behavior of edges in scale space for deriving rules useful in reasoning. This analysis of liner edges at different scales in images includes the mutual influence of edges and identifies at what scale neighboring edges start influencing the response of a Laplacian or Gaussian operator. Dislocation of edges, false edges, and merging of edges in the scale space are examined to formulate rules for reasoning in the scale space. The theorems, corollaries, and assertions presented can be used to recover edges, and related features, in complex images. The results reported include one lemma, three theorems, a number of corollaries and six assertions. The rigorous mathematical proofs for the theorems and corollaries are presented. These theorems and corollaries are further applied to more general situations, and the results are summarized in six assertions. A qualitative description as well as some experimental results are presented for each assertion.Keywords
This publication has 20 references indexed in Scilit:
- Extracting Straight LinesPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1986
- Scaling Theorems for Zero CrossingsIEEE Transactions on Pattern Analysis and Machine Intelligence, 1986
- Scale-Based Description and Recognition of Planar Curves and Two-Dimensional ShapesPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1986
- Comments on "Digital Step Edges from Zero Crossings of Second Directional DerivativesIEEE Transactions on Pattern Analysis and Machine Intelligence, 1985
- Accuracy of laplacian edge detectorsComputer Vision, Graphics, and Image Processing, 1984
- Digital Step Edges from Zero Crossing of Second Directional DerivativesPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1984
- A study of edge detection algorithmsComputer Graphics and Image Processing, 1982
- Theory of edge detectionProceedings of the Royal Society of London. B. Biological Sciences, 1980
- A survey of edge detection techniquesComputer Graphics and Image Processing, 1975
- A Local Visual Operator Which Recognizes Edges and LinesJournal of the ACM, 1973