Cubic algebraic curves based on geometric constraints

Authors:
Zhang Sanyuan;Bao Hujun;Wei Baogang
Affiliations:
Department of Computer Science, Zhejiang University, Hangzhou 310027, PR China;State Key Lab of CAD&CG, Zhejiang University, Hangzhou 310027, PR China;Department of Computer Science, Zhejiang University, Hangzhou 310027, PR China
Venue:
Computer Aided Geometric Design
Year:
2001

Citing 5
Cited 1

Parametric cubics as algebraic curves

Computer Aided Geometric Design
Gn-1-functional splines for interpolation and approximation of curves, surfaces and solids

Computer Aided Geometric Design
Blending of implicit surfaces with functional splines

Computer-Aided Design
Geometric control of G2-cubic A-splines

Computer Aided Geometric Design
Rational B-Splines for Curve and Surface Representation

IEEE Computer Graphics and Applications

Functional splines with different degrees of smoothness and their applications

Computer-Aided Design

Quantified Score

Hi-index	0.00

Visualization

Abstract

Methods for curve modeling with cubic algebraic curves based on geometric constraints are introduced in this paper. A 1-parameter family of cubic curves with four given points as well as two tangent lines at the endpoints is constructed in the first part of the paper. A 1-parameter family and 2-parameter family of cubic curve constructions are presented for interpolating two given endpoints and two given tangent lines as well as two given curvatures at the endpoints in the last part of the paper.