Repeatedly smoothing, discrete scale-space evolution and dominant point detection

	Repeatedly smoothing, discrete scale-space evolution and dominant point detection
	Li, BC
刊名	PATTERN RECOGNITION
	1996-06-01
卷号	29 期号:6 页码:1049-1059
关键词	Dominant Point Detection Curve Evolution In Scale Space Exponential Kernel Diffusion Equation Repeatedly Smoothing Curvature
英文摘要	In 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.
语种	英语
WOS记录号	WOS:A1996UN18400012
内容类型	期刊论文
源URL	[http://ir.ia.ac.cn/handle/173211/21901]
专题	自动化研究所_09年以前成果
作者单位	CHINESE ACAD SCI,INST AUTOMAT,NATL LAB PATTERN RECOGNIT,BEIJING,PEOPLES R CHINA
推荐引用方式 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.