Curve fitting algorithm for rough cutting
Computer-Aided Design
A geometric characterization of parametric cubic curves
ACM Transactions on Graphics (TOG)
Curved surface machining through circular arc interpolation
Computers in Industry
Curves and surfaces for computer aided geometric design (3rd ed.): a practical guide
Curves and surfaces for computer aided geometric design (3rd ed.): a practical guide
Fundamentals of computer aided geometric design
Fundamentals of computer aided geometric design
Approximating smooth planar curves by arc splines
Journal of Computational and Applied Mathematics
Approximation of quadratic Be´zier curves by arc splines
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
G2 Hermite interpolation with circular precision
Computer-Aided Design
Computational and structural advantages of circular boundary representation
WADS'07 Proceedings of the 10th international conference on Algorithms and Data Structures
| Hi-index | 7.29 |
A planar cubic Bezier curve that is a spiral, i.e., its curvature varies monotonically, does not have internal cusps, loops, and inflection points. It is suitable as a design tool for applications in which fair curves are important. Since it is polynomial, it can be conveniently incorporated in CAD systems that are based on B-splines, Bezier curves, or NURBS. When machining objects, it is desirable that as much as possible of a curved toolpath be approximated by a sequence of circular arcs rather than straight-line segments. Such an arc-spline approximation of a planar cubic Bezier spiral is presented.