Smooth closed surfaces with discrete triangular interpolants
Computer Aided Geometric Design
Scattered data interpolation in three or more variables
Mathematical methods in computer aided geometric design
Smooth piecewise quadric surfaces
Mathematical methods in computer aided geometric design
Surface interpolation on irregular networks with normal conditions
Computer Aided Geometric Design
Cubicoids: Modeling and visualization
Computer Aided Geometric Design
Smooth spline surfaces over irregular meshes
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
ACM Transactions on Graphics (TOG)
Minimal energy surfaces using parametric splines
Computer Aided Geometric Design
Interpolating Subdivision for meshes with arbitrary topology
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Spline approximations of real algebraic surfaces
Journal of Symbolic Computation - Special issue: parametric algebraic curves and applications
Piecewise smooth subdivision surfaces with normal control
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
C modeling with A-patches from rational trivariate functions
Computer Aided Geometric Design
Curves and Surfaces for Computer-Aided Geometric Design: A Practical Code
Curves and Surfaces for Computer-Aided Geometric Design: A Practical Code
Modelling with implicit surfaces that interpolate
ACM Transactions on Graphics (TOG)
Parametric Surface Interpolation
IEEE Computer Graphics and Applications
Construct Piecewise Hermite Interpolation Surface with Blending Methods
GMP '02 Proceedings of the Geometric Modeling and Processing — Theory and Applications (GMP'02)
Approximation with Active B-Spline Curves and Surfaces
PG '02 Proceedings of the 10th Pacific Conference on Computer Graphics and Applications
| Hi-index | 0.00 |
Algorithms to generate a triangular or a quadrilateral interpolant with G1-continuity are given in this paper for arbitrary scattered data with associated normal vectors over a prescribed triangular or quadrilateral decomposition. The interpolants are constructed with a general method to generate surfaces from moving Bézier curves under geometric constraints. With the algorithm, we may obtain interpolants in complete symbolic parametric forms, leading to a fast computation of the interpolant. A dynamic interpolation solid modelling software package DISM is implemented based on the algorithm which can be used to generate and manipulate solid objects in an interactive way.