
...problem of constructing a g1 rational quadratic spline curve lying on s that interpolates {xi}i=1n. it is...consisting of two conic arcs on s joined with g1 continuity is used to interpolate two points on s and two associated tangent...

...a constructive description of all rational parametrizations for toric surfaces was described in terms of the universal rational parametrizations (urp). we give an...is explained. a theory of rational c1 spline curves with certain interpolation properties on toric surfaces is developed. applications for smooth blending of natural quadrics are sketched....

...problem of data fitting using quadratic spline is addressed. an efficient algorithm...subset are fitted by a curve segment and all data points are fitted by a c1 quadratic spline curve. the algorithm is simple and...

...the paper discusses rational curve segments and surface patches on quadric surfaces. detailed constructions of rational bezier patches from given boundaries...the method is applied to interpolation with rational curves on quadrics. the results are extended to rational bspline representations by discussion of products...

...construction of a c0 continuous surface consisting of rational quadratic surface patches interpolating the triangles in t. we determine the bezier control points of a single rational quadratic surface patch based on the coordinates of the vertices...

...in the form of a rational bezier curve, a quadratic spline approximation is constructed and an...which is optimal, and the spline curve is both c1 and g2...

...in the form of a rational bezier curve, a quadratic spline approximation is constructed and an...which is optimal, and the spline curve is both c1 and g2. the approximation method is very efficient as it is based on local hermite interpolation and subdivision. the approximation method...

...each iteration step minimizes a quadratic function which is built up with help of local quadratic approximants of the squared distance...geodesic path connecting two points on a surface and interpolating or approximating spline curves on surfaces. finally we indicate how the...

...simple computation of the dual surfaces and of the support function. these in clude quadratic polynomial surfaces, ruled surfaces with direction vectors of low degree and polynomial translational surfaces of bidegree (3,2). in addition, we use a quasiinterpolation scheme for bivariate quadratic splines over crisscross triangulations in...

...present an approximation method of quadric surface using quar tic spline. our method is based on the approximation of quadratic rational b´ ezier patch using quartic...tangent plane) con tinuous quartic spline surface. we illustrate our results by the approximation of helicoidlike surface....
Published in 2009.