When using images to locate objects, there is the problem of correcting for distortion and misalignment in the images. An elegant way of solving this problem is to generate an error correcting function that maps points in an image to their corrected locations. We generate such a function by fitting a polynomial to a set of sample points. The objective is to identify a polynomial that passes “su...

We present a new reconstruction of the interplanetary magnetic field (IMF, B) for 1846–2012 with a full analysis of errors, based on the homogeneously constructed IDV(1d) composite of geomagnetic activity presented in Part 1 (Lockwood et al., 2013a). Analysis of the dependence of the commonly used geomagnetic indices on solar wind parameters is presented which helps explain why annual means of ...

The aim of this study is to examine the change of population composition in terms of religion and language in the districts of state Assam in Northeast India during post independence period. The analysis is based on district level census data of Assam during 1951 to 2001. The result shows that the proportion of Muslim population has been rising rapidly in some districts whereas the Hindu popula...

Algorithms for linear and non-linear least squares fitting of Bézier surfaces to unstructured point clouds are derived from first principles. The presented derivation includes the analytical form partial derivatives that required minimising objective functions, these have been computed numerically in previous work concerning curve fitting, not surface fitting. Results fourth degree complex simu...

environmental pollution by 2,4-dicholorphenol (2,4-dcp), commonly found in industrial wastewater has been a concern for humans over the past 50 years. garden radish peroxidase (grp) can eliminate this poisonous pollutant. the aim of this study was to apply an experimental response surface methodology (rsm) and central composite design (ccd) to optimize grp-based treatment in order to maximize ...

This paper examines current techniques used to determine meteoroid mass from high-power, large aperture (HPLA) radar observations. We demonstrate why the standard approach of fitting a polynomial to velocity measurements gives inaccurate results by applying this technique to artificial datasets. We then suggest an alternate approach, fitting velocity data to an ablation model. Using data taken ...

Fitting a curve of a certain type to a given set of points in the plane is a basic problem in statistics and has numerous applications. We consider fitting a polyline with k joints under the min-sum criteria with respect to L1and L2-metrics, which are more appropriate measures than uniform and Hausdorff metrics in statistical context. We present efficient algorithms for the 1-joint versions of ...

Supply voltage compensation is important to keep the accuracy for hot wire/hot film gas flow sensors. A compensation experiment device is established, the two steps curve fitting is presented to determine the functional relations among flow、sensor output and supply voltage, the coefficient of fitting polynomial is determined by Least Square method, thus eliminating the influence of supply volta...

Fitting of experimental data with a polynomial determined by Gaussian least-squares analysis is a common and well-established praxis. However, there seems to be a lack in consistency if the resulting fit parameters are to be interpreted as physically meaningful quantities. Therefore, a detailed investigation of the fitting procedure itself as well as of the measuring process, including possible...

Assessing white matter fiber orientations directly from DWI measurements in single-shell HARDI has many advantages. One of these advantages is the ability to model multiple fibers using fewer parameters than are required to describe an ODF and, thus, reduce the number of DW samples needed for the reconstruction. However, fitting a model directly to the data using Gaussian mixture, for instance,...