Gn-1-functional splines for interpolation and approximation of curves, surfaces and solids
Computer Aided Geometric Design
Natural neighbor interpolation on the sphere
An international conference on curves and surfaces on Wavelets, images, and surface fitting
Spherical splines and orientation interpolation
The Visual Computer: International Journal of Computer Graphics
Multivariable Curve Interpolation
Journal of the ACM (JACM)
Animating rotation with quaternion curves
SIGGRAPH '85 Proceedings of the 12th annual conference on Computer graphics and interactive techniques
Curves and surfaces for CAGD: a practical guide
Curves and surfaces for CAGD: a practical guide
Spherical averages and applications to spherical splines and interpolation
ACM Transactions on Graphics (TOG)
The De Casteljau Algorithm on Lie Groups and Spheres
Journal of Dynamical and Control Systems
The shape of spherical quartics
Computer Aided Geometric Design
Energy-minimizing splines in manifolds
ACM SIGGRAPH 2004 Papers
A variational approach to spline curves on surfaces
Computer Aided Geometric Design - Special issue: Geometric modelling and differential geometry
Hi-index | 0.00 |
Based on a composite conical surface patch, we develop new simple methods for up to G^2 continuous interpolation of an arbitrary sequence of points on a sphere with a specified tangent direction and curvature vector at every point. The resulting interpolation curve is the intersection of the given sphere and the composite conical surface patch. Unlike some existing methods, introduced into the method are several free parameters that can be used in subsequent interactive modification such that the resulting curve's shape hits our demand, and the resulting curve can be expressed explicitly. Experiments demonstrate the method is effective and potentially useful in pattern design on sphere, sphere trim, robot, and other industrial and research fields.