B-spline curves – Properties n+1 i=1 Ni, k (t) ≡ 1 for all t Ni,k(t) ≥ 0 for all t Maximum order kmax = n + 1 Maximum degree, n, is one less than the order Exhibits the variation diminishing property Follows shape of the control polygon Transform curve – transform control...
PF Stiller - 《Transactions of the American Mathematical Society》 被引量: 21发表: 1983年 A revised B spline interpolation algorithm of CNC machining splines (mathematicsB spline curve theoryCNC machiningcomplex profile curvecubic B spline curve interpolationrevised B spline interpolation algorithmspline ...
data points of a reverse-engineered CAD model [22]. Others have studied the representation and geometric operations of interval Bspline curves, such as those used to solve CAD intersection problems =-=[3,12,19]-=-. We use the interval spline curve to approximate not the uncertainty in ...
In this paper we describe two natural ways to express the flrst derivative of a rational B-spline curve in terms of its con- trol points and weights. These expressions generalise the established ones for non-rational curves and ofier numerically stable methods for computing the derivative. Some...
In this paper we describe two natural ways to express the flrst derivative of a rational B-spline curve in terms of its con- trol points and weights. These expressions generalise the established ones for non-rational curves and ofier numerically stable methods for computing the derivative. Some...
control points,these curves retain many properties of the quadratic B-spline curve,but they have higher order of continuity than the quadratic B-spline ... LL Yan,T Huang,JF Liang 被引量: 2发表: 2010年 Discussion on the Definition of the Term 'Equidistant Projection' It is well known that...
IfcBSplineCurve IfcBuilding IfcBuildingElement IfcBuildingElementComponent IfcBuildingElementPart IfcBuildingElementProxy IfcBuildingElementProxyType IfcBuildingElementType IfcBuildingStorey IfcCableCarrierFittingType IfcCableCarrierSegmentType IfcCableSegmentType IfcCalendarDate IfcCartesianPoint IfcCartesianTransformat...
In this paper we present a method for the construction of C 1 Hermite interpolants obtained from a particular family of refinable spline functions introduc... Francesca,Pelosi,and,... - 《Journal of Computational & Applied Mathematics》 被引量: 7发表: 2008年 加载更多来源...
We study the light-curve properties of these SNe IIn using spline fits (for the peak and the declining portion) and template matching (for the rising portion). We study the peak-magnitude distribution, rise times, decline rates, colour evolution, host galaxies, and K-corrections of the SNe ...
However, when the samples are corrupted by noise, it is just as important to consider the noise properties of the resulting interpolated curve as it is to consider its accuracy. In this work, we derive analytic expressions for the covariance and variance of curves interpolated by three periodic...