For geometric inference from images, what kind of statistical model is necessary?

被引:14
作者
Kanatani, Kenichi [1 ]
机构
[1] Department of Information Technology, Okayama University, Okayama
关键词
Asymptotic evaluation; Feature point extraction; Neyman-Scott problem; Semiparametric model; Statistical method;
D O I
10.1002/scj.10635
中图分类号
学科分类号
摘要
In order to promote mutual understanding with researchers in other fields including statistics, this paper investigates the meaning of statistical methods for geometric inference based on image feature points. We trace back the origin of feature uncertainty to image processing operations and discuss the meaning of geometric fitting, geometric model selection, the geometric AIC, and the geometric MDL. Then, we discuss the implications of asymptotic analysis in reference to nuisance parameters, the Neyman-Scott problem, and semiparametric models and point out that application of statistical methods requires careful considerations about the peculiar nature of geometric inference. © 2004 Wiley Periodicals, Inc.
引用
收藏
页码:1 / 9
页数:8
相关论文
共 28 条
  • [1] Akaike H., What is the information criterion AIC? - Its meaning and future prospects, Suri Kagaku, 153, pp. 5-11, (1976)
  • [2] Amari S., Kawanabe M., Estimation of linear relations - Is the least squares optimal?, Oyou Suri, 6, pp. 96-109, (1996)
  • [3] Chabat F., Yang G.Z., Hansell D.M., A corner orientation detector, Image Vision Comput, 10, pp. 761-769, (1999)
  • [4] Cho K., Meer P., Cabrera J., Performance assessment through bootstrap, IEEE Trans Pattern Anal Mach Intell, 19, pp. 1185-1198, (1997)
  • [5] Fuller W.A., Measurement Error Models, (1987)
  • [6] Harris C., Stephens M., A combined corner and edge detector, Proc 4th Alvey Vision Conf, pp. 147-151, (1988)
  • [7] Hartley R., Zisserman A., Multiple View Geometry in Computer Vision, (2000)
  • [8] Kanatani K., Kukan Deta No Suri, (1995)
  • [9] Kanatani K., Statistical Optimization for Geometric Computation: Theory and Practice, (1996)
  • [10] Kanatani K., Model selection for geometric fitting, Trans IEICE, J84-A, pp. 1385-1393, (2001)