Smoothing of polyhedral models
SCG '86 Proceedings of the second annual symposium on Computational geometry
Polyhedral subdivision methods for free-form surfaces
ACM Transactions on Graphics (TOG)
Including shape handles in recursive subdivision surfaces
Computer Aided Geometric Design
A butterfly subdivision scheme for surface interpolation with tension control
ACM Transactions on Graphics (TOG)
Cubic recursive division with bounded curvature
Curves and surfaces
Surface interpolation on irregular networks with normal conditions
Computer Aided Geometric Design
Efficient, fair interpolation using Catmull-Clark surfaces
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
Smooth free-form surfaces over irregular meshes generalizing quadratic splines
Selected papers of the international symposium on Free-form curves and free-form surfaces
Piecewise smooth surface reconstruction
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
SIAM Journal on Numerical Analysis
Interpolating Subdivision for meshes with arbitrary topology
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Subdivision surfaces in character animation
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Exact evaluation of Catmull-Clark subdivision surfaces at arbitrary parameter values
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Interpolating nets of curves by smooth subdivision surfaces
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Subdivision Methods for Geometric Design: A Constructive Approach
Subdivision Methods for Geometric Design: A Constructive Approach
Proceedings of the conference on Visualization '01
Including and optimizing shape parameters in Doo-Sabin subdivision surfaces for interpolation
Proceedings of the 2007 ACM symposium on Solid and physical modeling
Interpolation by geometric algorithm
Computer-Aided Design
Technical Section: Fourier method for large-scale surface modeling and registration
Computers and Graphics
Loop subdivision surface based progressive interpolation
Journal of Computer Science and Technology
Progressive interpolation using loop subdivision surfaces
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
Transactions on edutainment I
Weighted progressive interpolation of Loop subdivision surfaces
Computer-Aided Design
An alternative method for constructing interpolatory subdivision from approximating subdivision
Computer Aided Geometric Design
| Hi-index | 0.00 |
The construction of a smooth surface interpolating a mesh of arbitrary topological type is an important problem in many graphics applications. This paper presents a two-phase process, based on a topological modification of the control mesh and a subsequent Catmull-Clark subdivision, to construct a smooth surface that interpolates some or all of the vertices of a mesh with arbitrary topology. It is also possible to constrain the surface to have specified tangent planes at an arbitrary subset of the vertices to be interpolated. The method has the following features: 1) It is guaranteed to always work and the computation is numerically stable, 2) there is no need to solve a system of linear equations and the whole computation complexity is O(K) where K is the number of the vertices, and 3) each vertex can be associated with a scalar shape handle for local shape control. These features make interpolation using Catmull-Clark surfaces simple and, thus, make the new method itself suitable for interactive free-form shape design.