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Repeatedly smoothing, discrete scale-space evolution and dominant point detection
Li, BC
Source PublicationPATTERN RECOGNITION
1996-06-01
Volume29Issue:6Pages:1049-1059
SubtypeArticle
AbstractIn this paper, the Fourier analysis is used to derive the properties of an evolving curve. An arbitrary-kernel-repeatedly-smoothing (AKRS) evolution of a curve is then introduced. It is shown that when the repeated number is large, the AKRS evolution of a curve is an approximately discrete implementation of the scale-based evolution of this curve in the Euclidean space. As a special case, an exponential repeatedly smoothing is proposed to implement the scale-based evolution. It is shown that in addition to its simple implementation and its desired approximation to a Gaussian kernel, an exponential function is a function that when it is selected as a repeatedly smoothing kernel, the motion (both magnitude and direction) of a point on a curve from the (i - 1)th to ith instant is equal to the curvature of the ith smoothed curve at this point. Finally, a perimeter-controlled-evolution method is proposed to extract dominant points. It is shown experimentally that the proposed method is robust to noise, object rotation and object changes in sizes. (C) 1996 Pattern Recognition Society. Published by Elsevier Science Ltd.
KeywordDominant Point Detection Curve Evolution In Scale Space Exponential Kernel Diffusion Equation Repeatedly Smoothing Curvature
WOS HeadingsScience & Technology ; Technology
WOS KeywordCORNER DETECTION ; PLANE-CURVES ; REPRESENTATION
Indexed BySCI
Language英语
WOS Research AreaComputer Science ; Engineering
WOS SubjectComputer Science, Artificial Intelligence ; Engineering, Electrical & Electronic
WOS IDWOS:A1996UN18400012
Citation statistics
Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/21901
Collection09年以前成果
AffiliationCHINESE ACAD SCI,INST AUTOMAT,NATL LAB PATTERN RECOGNIT,BEIJING,PEOPLES R CHINA
Recommended Citation
GB/T 7714
Li, BC. Repeatedly smoothing, discrete scale-space evolution and dominant point detection[J]. PATTERN RECOGNITION,1996,29(6):1049-1059.
APA Li, BC.(1996).Repeatedly smoothing, discrete scale-space evolution and dominant point detection.PATTERN RECOGNITION,29(6),1049-1059.
MLA Li, BC."Repeatedly smoothing, discrete scale-space evolution and dominant point detection".PATTERN RECOGNITION 29.6(1996):1049-1059.
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