Title
Further Improving Geometric Fitting
Abstract
We give a formal definition of geometric fitting in a way that suits computer vision applications. We point out that the performance of geometric fitting should be evaluated in the limit of small noise rather than in the limit of a large number of data as recommended in the statistical literature. Taking the KCR lower bound as an optimality requirement and focusing on the linearized constraint case, we compare the accuracy of Kanataniýs renormalization with maximum likelihood (ML) approaches including the FNS of Chojnacki et al. and the HEIV of Leedan and Meer. Our analysis reveals the existence of a method superior to all these.
Year
DOI
Venue
2005
10.1109/3DIM.2005.49
3DIM
Keywords
Field
DocType
polynomials,application software,lower bound,computer science,computer vision,maximum likelihood,maximum likelihood estimation,fitting
Renormalization,Applied mathematics,Computer vision,Mathematical optimization,Computer science,Upper and lower bounds,Surface fitting,Maximum likelihood,Formal description,Artificial intelligence
Conference
ISBN
Citations 
PageRank 
0-7695-2327-7
7
0.56
References 
Authors
13
1
Name
Order
Citations
PageRank
Kenichi Kanatani11468320.07