Bézier- and B-spline Techniques Errata
نویسندگان
چکیده
منابع مشابه
Continuity Method based on C-B Spline Curves and C-Bézier
C-B spline can not represent semi-circle and semi-elliptical arcs precisely. This paper will discuss the nature of C-B spline’s and C-Bézier curve’s endpoints. Then, on the basis of the analysis of their characteristics and by means of adding control points to make C-B spline dominate the first and last vertices of the polygon and get tangency with the first and end sides. Thus it has given out...
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The paper presents a technique for construction of C interpolating rational Bézier spline curves by means of blending rational quadric Bézier curves. A class of polynomials which satisfy special boundary conditions is used for blending. Properties of the polynomials are considered. The constructed spline curves have local shape control that make them useful in such geometric applications as rea...
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To repeatedly evaluate linear combinations of box-splines in a fast and stable way, in particular along knot planes, we convert to and tabulate the box-spline as piecewise polynomials in Bézier form. We show that the Bézier coefficients can be stored as integers and a rational scale factor and derive a hash table for efficiently accessing the Bézier pieces. The preprocessing, the resulting eval...
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