NDLI: Deep Structure of Gaussian Scale Space

Content Provider	IEEE Xplore Digital Library
Author	Yang Zhihui Cui Wenjuan Zhang Mengmeng
Copyright Year	2008
Description	Author affiliation: Coll. of Sci., North China Univ. of Technol., Beijing, China (Yang Zhihui; Cui Wenjuan) \|\| Coll. of Inf. Eng., North China Univ. of Technol., Beijing, China (Zhang Mengmeng)
Abstract	The deep structure of scale space is essential to the further processing of an image at different resolutions to extract certain features or to carry out other requirements such as image denosing. In this paper we study the deep structure of Gaussian scale space by virtue of singularity theory. Five normal forms of Gaussian scale space are provided, which is more accurate and rigorous than the results given by Damon and Kuijper. Then we analyze the creation and annihilation phenomena of extreme points and saddle points for the Gaussian scale space, which is the major part of deep structure of Gaussian scale space. We point out the creation phenomena conflicts with the intuitive result given by Koenderink. However, it does not influence the deep structure analysis of Gaussian scale space.
Starting Page	381
Ending Page	384
File Size	611477
Page Count	4
File Format	PDF
ISBN	9780769533360
DOI	10.1109/CSSE.2008.454
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2008-12-12
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Creation & Annihilation Computer vision Image resolution Extraterrestrial phenomena Image processing Educational institutions Gaussian scale-space Equations Computer science Convolution Space technology Deep structure Software engineering
Content Type	Text
Resource Type	Article

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