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- Nikolai I. Chernov, Claire Lesort
- Computational Statistics & Data Analysis
- 2004

We study the problem of fitting parametrized curves to noisy data. Under certain assumptions (known as Cartesian and radial functional models), we derive asymptotic expressions for the bias and the… (More)

- Nikolai I. Chernov, Claire Lesort
- Journal of Mathematical Imaging and Vision
- 2005

Fitting standard shapes or curves to incomplete data (which represent only a small part of the curve) is a notoriously difficult problem. Even if the curve is quite simple, such as an ellipse or a… (More)

- Nikolai I. Chernov, Claire Lesort
- ArXiv
- 2003

We study theoretical and computational aspects of the least squares fit (LSF) of circles and circular arcs. First we discuss the existence and uniqueness of LSF and various parametrization schemes.… (More)

We develop Markov approximations for very general suspension flows. Based on this, we obtain a stretched exponential bound on time correlation functions for 3-D Anosov flows that verify ‘uniform… (More)

- Ali Al-Sharadqah, Nikolai I. Chernov
- Computational Statistics & Data Analysis
- 2012

We study the problem of fitting ellipses to observed points in the context of Errors-In-Variables regression analysis. The accuracy of fitting methods is characterized by their variances and biases.… (More)

We study nonequilibrium steady states in the Lorentz gas of periodic scatterers when an electric external field is applied and the particle kinetic energy is held fixed by a "thermostat" constructed… (More)

- Nikolai I. Chernov, Yu. G. Stoyan, Tatiana Romanova
- Comput. Geom.
- 2010

Article history: Received 30 November 2008 Accepted 17 December 2009 Available online 7 January 2010 Communicated by F. Hurtado

- Federico Bonetto, Nikolai I. Chernov, Joel L Lebowitz
- Chaos
- 1998

We studied numerically the validity of the fluctuation relation introduced in Evans et al. [Phys. Rev. Lett. 71, 2401-2404 (1993)] and proved under suitable conditions by Gallavotti and Cohen [J.… (More)

We investigate stationary nonequilibrium states of systems of particles moving according to Hamiltonian dynamics with specified potentials, The systems are driven away from equilibrium by… (More)

- Kenichi Kanatani, Ali Al-Sharadqah, Nikolai I. Chernov, Yasuyuki Sugaya
- IPSJ Trans. Computer Vision and Applications
- 2014

The technique of “renormalization” for geometric estimation attracted much attention when it appeared in early 1990s for having higher accuracy than any other then known methods. The key fact is that… (More)