Linear Spline Curve Envelopes
نویسنده
چکیده
منابع مشابه
Translational Covering of Closed Planar Cubic B-Spline Curves
Spline curves are useful in a variety of geometric modeling and graphics applications and covering problems abound in practical settings. This work defines a class of covering decision problems for shapes bounded by spline curves. As a first step in addressing these problems, this paper treats translational spline covering for planar, uniform, cubic B-splines. Inner and outer polygonal approxim...
متن کاملB-spline Curve Generation and Modification based on Specified Radius of Curvature
A method to generate a quintic B-spline curve which passes through given points is described. In this case, there are four more equations than there are control point positions. Two methods have been developed to compensate for the difference between the number of unknowns and that of the equations. These are assuming that the curvatures at both ends of the curve are zero, and assigning four gr...
متن کاملCurve Generation and Modification based on Radius of Curvature Smoothing
A method to generate a quintic B-spline curve which passes through the given points is described. In this case, there are four more equations than there are control point positions. Therefore, four gradients which are the first derivative of a quintic B-spline equation are assigned to the given points. In addition to this method, another method to generate a quintic B-spline curve which passes ...
متن کاملQuintic B-spline Curve Generation and Modification based on specified Radius of Curvature
A method to generate a quintic B-spline curve which passes through the given points is described. In this case, there are four more unknown control point positions than there are equations. To overcome this problem three methods are described. First, solve the underdetermined system as it stands. Secondly, decrease the number of unknown control point positions in an underdetermined system in or...
متن کاملCISE-TR-01-003: Surface envelopes
Surface envelopes are tight, two-sided enclosures of composite spline surfaces. This paper shows how to construct the two hulls of the enclosure so that matched triangle pairs sandwich a given nonlinear, curved surface consisting of tensor-product Bézier patches. The main cost of the hull computation are 12 transversal line-plane intersections per vertex. The width of the enclosure, i,e. the di...
متن کامل