Curve mesh fairing and surface interpolation
Curves from variational principles
Development and Implementation of NURBS Models of Quadratic Curves and Surfaces
This article goes into the development of NURBS models of quadratic curves and surfaces. Curves and surfaces which could be represented by one general equation (one for the curves and one for the surfaces) are addressed. The research examines the curves: ellipse, parabola and hyperbola, the surfaces: ellipsoid, paraboloid, hyperboloid, double hyperboloid, hyperbolic paraboloid and cone, and the cylinders: elliptic, parabolic and hyperbolic. Many real objects which have to be modeled in 3D applications possess...
Double Precision Approximations to the Elementary Functions Using Jacobi-Fractions.
Dynamics of an artificial slope
The slope shape is replaced by a 3D regression function which corresponds with high precision to the position of several hundred points which were determined on the surface of the slope body. The position of several points was repeatedly measured for several years. The time changes in the position of these points were used to create regression functions that describe vertical movements, slope settlement and horizontal movements, slope movement. The model results are presented in the form of mathematical...
Fast evaluation of thin-plate splines on fine square grids
The paper deals with effective calculation of Thin-Plate Splines (TPS). We present a new modification of hierarchical approximation scheme. Unlike 2-D schemes published earlier, we propose an 1-D approximation. The new method yields lower computing complexity while it preserves the approximation accuracy.
Fitting a -Smooth Function to Data II.
Free vibration of layered circular cylindrical shells of variable thickness using spline function approximation.
Generalized splines in and optimal control.
Geodesic polyhedra and nets
Geometrické modelování – od historie k současnosti a budoucnosti
Geometry processing : intersections, contours, and cubatures
Interactive 3D Visualization of Bézier Curves using Java Open Graphics Library (JOGL)
We present a new program tool for interactive 3D visualization of some fundamental algorithms for representation and manipulation of Bézier curves. The program tool has an option for demonstration of one of their most important applications - in graphic design for creating letters by means of cubic Bézier curves. We use Java applet and JOGL as our main visualization techniques. This choice ensures the platform independency of the created applet and contributes to the realistic 3D visualization....
Interpolación, eliminación y matrices totalmente positivas.
Isogeometric analysis for fluid flow problems
The article is devoted to the simulation of viscous incompressible fluid flow based on solving the Navier-Stokes equations. As a numerical model we chose isogeometrical approach. Primary goal of using isogemetric analysis is to be always geometrically exact, independently of the discretization, and to avoid a time-consuming generation of meshes of computational domains. For higher Reynolds numbers, we use stabilization techniques SUPG and PSPG. All methods mentioned in the paper are demonstrated...
Japonský projekt piatej generácie počítačov
Least squares fitting of piecewise algebraic curves.
Mixed norm condition numbers for the univariate Bernstein basis
We study mixed norm condition numbers for the univariate Bernstein basis for polynomials of degree n, that is, we measure the stability of the coefficients of the basis in the -sequence norm whereas the polynomials to be represented are measured in the -function norm. The resulting condition numbers differ from earlier results obtained for p = q.
Modeling contours of trivariate data
Modellazione con curve e superfici p-spline