Zobrazeno 1 - 10
of 18
pro vyhledávání: '"Bruce Piper"'
Autor:
Eric F. Mazzone, Bruce Piper
Publikováno v:
The College Mathematics Journal. 41:405-408
SummaryThe way that Taylor polynomials approximate functions can be demonstrated by moving the center point while keeping the degree fixed. These animations are particularly nice when the Taylor polynomials do not intersect and form a nested family.
Publikováno v:
Computer-Aided Design. 40:3-12
We consider the problem of finding parametric rational Bezier cubic spirals (planar curves of monotonic curvature) that interpolate end conditions consisting of positions, tangents and curvatures. Rational cubics give more design flexibility than pol
Autor:
Donna A. Dietz, Bruce Piper
Publikováno v:
Computer Aided Geometric Design. 21:165-180
Numerical techniques are used to study parametric Bezier cubics of monotonic curvature, and tools are presented for design applications. Values are computed to aid in the selection of control points for building interpolatory cubic spirals, and a tab
Publikováno v:
Mathematics of Computation. 73:1913-1935
We introduce a general definition of refinable Hermite interpolants and investigate their general properties. We also study a notion of symmetry of these refinable interpolants. Results and ideas from the extensive theory of general refinement equati
Publikováno v:
ANZ Journal of Surgery. 75:244-246
Autor:
John A. Roulier, Bruce Piper
Publikováno v:
Computer Aided Geometric Design. 13:23-43
Theorems and corresponding algorithms are presented which produce a rational Bezier curve of a specified arc length subject to certain constraints. Extraneous inflection points are avoided. The problem is reduced to expressing the arc length as a fun
Autor:
Bruce Piper, John A. Roulier
Publikováno v:
Computer Aided Geometric Design. 13:3-22
Theorems and corresponding algorithms are presented which produce a parametric curve of a specified arc length subject to certain constraints. Extraneous inflection points are avoided. The problem is reduced to expressing the arc length as a function
Autor:
Bruce Piper, Hartmut Prautzsch
Publikováno v:
Computer Aided Geometric Design. 8:253-265
An algorithm to perform degree elevation on a linear combination of B-splines is presented that is linear in both the number of knots and the degree. Explicit pseudo-code is provided for both the non-periodic and periodic case.
Publikováno v:
Mathematics of Computation; 2004, Vol. 73 Issue 248, p1913-1935, 23p