An algebraic curve is defined as the zero set of a multivariate polynomial. We consider the problem of fitting an algebraic curve to a set of vectors given an additional set of vectors labelled as interior or exterior to the curve. The problem of fitting a linear curve in this way is shown to lend itself to a support vector representation, allowing non-linear curves and high dimensional surface...

With the development of computational power, there has been an increased focus on data-fitting related seismic inversion techniques for high fidelity seismic velocity model and image, such as full-waveform inversion and least square migration. However, though more advanced than conventional methods, these data fitting methods can be very expensive in terms of computational cost. Recently, vario...

A method is described for segmenting edge data into a combination of stmight lines and elliptic am. The westage process first segments the data into straight line segments. Ellipses are then fitted to the line data. ntis is much fmter than curve fitting directly topire1 data since the lines provide a great reduction in data. Segmentation is pegormed in the paradigm suwsted by Lowe [5]. A measur...

When designing curves on surfaces the need arises to approximate a given noisy target shape by a smooth fitting shape. We discuss the problem of fitting a B-spline curve to a point cloud by squared distance minimization in the case that both, the point cloud and the fitting curve, are constrained to lie on a smooth manifold. The on-manifold constraint is included by using the first fundamental ...

A systematic way is presented for the construction of multi-step iterative method with frozen Jacobian. The inclusion of an auxiliary function is discussed. The presented analysis shows that how to incorporate auxiliary function in a way that we can keep the order of convergence and computational cost of Newton multi-step method. The auxiliary function provides us the way to overcome the singul...

Data fitting is a fundamental tool in scientific research and engineering applications. Generally, there are two ingredients in solving data fitting problems. One is the fitting representation, and the other is the fitting method. Nowadays, the fitting of larger and larger quantities of data sets requires more compact fitting representation and faster fitting methods. The T-spline is a recently...

Curve-fitting procedures indicated that exo-2-amino-bicyclo-(2,2,1)-heptane-2-carboxylic acid (BCH) modified V and Km for one of two systems serving for histidine transport into the S37 ascites tumor cells. When this system was obliterated by leucine in the medium, BCH had no effect on histidine transport. Curve-fitting procedures similarly suggest N-methyl-alpha-aminoisobutyric acid affected t...

Background Increased myocardial T1 values are associated with fibrosis and edema, while decreased values in Fabry disease have been attributed to the short T1 of infiltrative lipids [1,2]. The relationship between lipid concentration (LC) and best-fit T1 values is unknown. This study aims to determine the dependence of MOLLI and SASHA T1 values on LC. MOLLI and SASHA[3] T1 mapping sequences are...