Abstract
This paper focuses on the computation of stationary curves, which are sometimes called fingerprints for one dimensional real signals in the linear scale space. Images for the analysis in the linear scale space are expressed as digital images for each quantized scale. Therefore, we develop a discrete version of the linear scale space analysis, employing the results of digital image analysis. For the application of linear scale space analysis to the time-varying images and objects, our method has advantages, because our method is based on the digital geometry on a plane which is suitable for the computation in digital computers.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Iijima, T., Pattern Recognition, Corona-sha, Tokyo, 1974 (in Japanese).
Zhao, N.-Y., Iijima, T., Theory on the method of determination of view-point and field of vision during observation and measurement of figure IECE Japan, Trans. D., J68-D, 508–514, 1985 (in Japanese).
Zhao, N.-Y., Iijima, T., A theory of feature extraction by the tree of stable viewpoints. IECE Japan, Trans. D., J68-D, 1125–1135, 1985 (in Japanese).
Zhao, N.-Y., A Study of Feature Extraction by the Tree of Stable View-Points, Dissertation to Doctor of Engineering, Tokyo Institute of Technology, 1985 (in Japanese).
Witkin, A.P., Scale space filtering, Pros. of 8th IJCAI, 1019–1022, 1993.
Yuille, A. L., Poggio, T., Scale space theory for zero crossings, IEEE PAMI, 8, 15–25, 1986.
Lindeberg, T., Scale-Space Theory in Computer Vision, Kluwer, Boston 1994.
Grossmann, Ch., Roos, H.-G., Numerik partieller Differentialgleichungen, B.G. Teubner, Stuttgart 1994.
Otsu, N., Mathematical Studies on Feature Extraction in Pattern Recognition, Researches of The Electrotechnical Laboratory, 818, 1981 (in Japanese).
Okabe, A., Boots, B., Sugihara, K., Spatial Tessellations: Concepts and Applications of Voronoi Diagrams, John Wiley & Sons, Chichester, 1992.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Imiya, A., Sugiura, T., Sakai, T., Kato, Y. (2003). Temporal Structure Tree in Digital Linear Scale Space. In: Griffin, L.D., Lillholm, M. (eds) Scale Space Methods in Computer Vision. Scale-Space 2003. Lecture Notes in Computer Science, vol 2695. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44935-3_25
Download citation
DOI: https://doi.org/10.1007/3-540-44935-3_25
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-40368-5
Online ISBN: 978-3-540-44935-5
eBook Packages: Springer Book Archive