Computer Aided Geometric Design
Fat arcs: a bounding region with cubic convergence
Computer Aided Geometric Design
Surface-to-Surface Intersections
IEEE Computer Graphics and Applications - Special issue on computer-aided geometric design
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
An efficient surface intersection algorithm based on lower-dimensional formulation
ACM Transactions on Graphics (TOG)
Geometric constraint solver using multivariate rational spline functions
Proceedings of the sixth ACM symposium on Solid modeling and applications
Shape Interrogation for Computer Aided Design and Manufacturing
Shape Interrogation for Computer Aided Design and Manufacturing
Efficient topology determination of implicitly defined algebraic plane curves
Computer Aided Geometric Design
Near-optimal parameterization of the intersection of quadrics
Proceedings of the nineteenth annual symposium on Computational geometry
Enhancing Levin's method for computing quadric-surface intersections
Computer Aided Geometric Design
A predictor–corrector-type technique for the approximate parameterization of intersection curves
Applicable Algebra in Engineering, Communication and Computing
On the computation of the topology of a non-reduced implicit space curve
Proceedings of the twenty-first international symposium on Symbolic and algebraic computation
Using signature sequences to classify intersection curves of two quadrics
Computer Aided Geometric Design
Subdivision methods for solving polynomial equations
Journal of Symbolic Computation
Circular spline fitting using an evolution process
Journal of Computational and Applied Mathematics
Computation of the topology of real algebraic space curves
Journal of Symbolic Computation
Deflation and certified isolation of singular zeros of polynomial systems
Proceedings of the 36th international symposium on Symbolic and algebraic computation
Rational Hausdorff divisors: A new approach to the approximate parametrization of curves
Journal of Computational and Applied Mathematics
| Hi-index | 0.00 |
We introduce a new method to approximate algebraic space curves. The algorithm combines a subdivision technique with local approximation of piecewise regular algebraic curve segments. The local technique computes pairs of polynomials with modified Taylor expansions and generates approximating circular arcs. We analyze the connection between the generated approximating arcs and the osculating circles of the algebraic curve.