This chapter provides a tutorial introduction to gradientbased optical flow estimation. We discuss least-squares and robust estimators, iterative coarse-to-fine refinement, different forms of parametric motion models, different conservation assumptions, probabilistic formulations, and robust mixture models.

We consider issues related to the design and analysis of least-squares methods for the incompressible NavierStokes equations. An abstract framework which allows to treat a large class of methods is outlined and illustrated by means of several specific examples of least-squares methods.

A model-based least-squares algorithm with a time-varying forgetting factor is developed for leak detection in boiler steam-water systems. The algorithm has been tested using real industrial data from Syncrude Canada, and has proven to be effective in detection of boiler tube or steam leaks; proper implementation of the algorithm would lead to early leak warning, which is important in maintaini...

techniques for content-based queries in images databases. Indexing is the key to providing sophisticated, accurate and fast searches for queries in image data. This research describes a new indexing approach, which depends on linear modeling of signals, using bases for modeling. A basis is a set of chosen images, and modeling an image is a least-squares approximation of the image as a linear co...

Abstract: This paper presents an accurate method for computing the surface velocity which is used to advect the vertex in mesh-based surface tracking. We propose a curvature invariance condition that accurately captures the movement of a surface, especially in the case of rotating objects. The method uses the least-squares method and mesh fairing to solve the problem that the surface velocity w...

on the xy-plane are bounded regions, called bases of digital plane segments. So, if the plane a is digitized and if a In this paper we prove that digital plane segments and their least-squares plane fit are in one-to-one correspondence, which region Q in the xy-plane is given, then the digital plane gives a simple representation of a digital plane segment by its segment P(a, Q) (more precisely,...

I. G. Doran and J. D. McKinley, Queen’s University Belfast The paper proposes the use of an approximation, suggested by Hansen, to the exact analytical solution of the Terzaghi consolidation equation, as the basis for the determination of the coefficient of consolidation from the results of a consolidation test using a least squares error adjustment procedure. This is an area of considerable pr...

In order to estimate fuzzy regression models, possibilistic and least-squares procedures can be considered. By taking into account a least-squares approach, regression models with crisp or fuzzy inputs and crisp or fuzzy output are suggested. In particular, for these fuzzy regression models, unconstrained and constrained (with inequality restrictions) least-squares estimation procedures are dev...

We review the theory of measuring spectral lines in emission/absorption observations and apply it to a new survey of the 21-cm line against 79 continuum sources. We develop an observing technique and least-squares procedure to determine the opacity profile, the expected emission profile, and their uncertainty profiles. We discuss the radiative transfer for the two-component interstellar HI gas ...