Results - Details

Search command : Author="Καραβέλας"  And Author="Μενέλαος"

Current Record: 2 of 4

[Add to Basket]
Identifier	000399539
Title	Shape-preserving interpolation on the sphere
Alternative Title	Παρεμβολή επί σφαίρας με περιορισμούς σχήματος
Author	Iordanov Iordan M.
Thesis advisor	Καράβελας, Μενέλαος
Abstract	An important desirable trait of polynomial and spline interpolation schemes is the ability to preserve the shape suggested by the discrete input data. In the general case, however, no guarantee exists that the resulting interpolant will bear these shape-preserving traits. Therefore, new interpolation schemes, endowed with free parameters that can be adjusted to satisfy the shape-preservation constraints, have been proposed and developed. Among these methods we _nd the tension schemes which employ free parameters to cause a smooth interpolant to convergence towards a piecewise linear curve connecting the data points, thus trivially satisfying the requirements tied to shape-preservation. In the present work we formulate and implement a method for interpolating data points lying on the unit sphere S2. Our interpolant is a spherical _-spline, a G2-continuous piecewise-cubic curve which belongs to the family of tension curves and lives on the unit sphere. The asymptotic behavior of the _-spline for very large values of the tension parameters motivates the formulation of an algorithm which is able to determine the value for each tension parameter so that the resulting curve preserves the shape of the input points on the sphere. The algorithm, its implementation in C++, and the results from selected test cases are presented at the end of this thesis.
Language	English
Subject	v-spline
	Διατήρηση σχήματος
Issue date	2016-03-18
Collection	School/Department--School of Sciences and Engineering--Department of Mathematics and Applied Mathematics--Post-graduate theses
	Type of Work--Post-graduate theses
Permanent Link	https://elocus.lib.uoc.gr//dlib/4/a/5/metadata-dlib-1456295006-791871-24210.tkl
Views	421

Digital Documents
	Download document View document Views : 18