A butterfly subdivision scheme for surface interpolation with tension control
ACM Transactions on Graphics (TOG)
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
Piecewise smooth surface reconstruction
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Interpolating Subdivision for meshes with arbitrary topology
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Piecewise smooth subdivision surfaces with normal control
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Proceedings of the conference on Visualization '01
Analysis and application of subdivision surfaces
Analysis and application of subdivision surfaces
SMI '04 Proceedings of the Shape Modeling International 2004
Interpolation over Arbitrary Topology Meshes Using a Two-Phase Subdivision Scheme
IEEE Transactions on Visualization and Computer Graphics
Similarity based interpolation using Catmull–Clark subdivision surfaces
The Visual Computer: International Journal of Computer Graphics
Progressive iterative approximation and bases with the fastest convergence rates
Computer Aided Geometric Design
Totally positive bases and progressive iteration approximation
Computers & Mathematics with Applications
Fast Spherical Mapping for Genus-0 Meshes
ISVC '09 Proceedings of the 5th International Symposium on Advances in Visual Computing: Part II
Weighted progressive iteration approximation and convergence analysis
Computer Aided Geometric Design
Local progressive-iterative approximation format for blending curves and patches
Computer Aided Geometric Design
The convergence of the geometric interpolation algorithm
Computer-Aided Design
Technical Section: An extended iterative format for the progressive-iteration approximation
Computers and Graphics
Weighted progressive interpolation of Loop subdivision surfaces
Computer-Aided Design
Adaptive data fitting by the progressive-iterative approximation
Computer Aided Geometric Design
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A new method for constructing interpolating Loop subdivision surfaces is presented. The new method is an extension of the progressive interpolation technique for B-splines. Given a triangular mesh M, the idea is to iteratively upgrade the vertices of M to generate a new control mesh M such that limit surface of M would interpolate M. It can be shown that the iterative process is convergent for Loop subdivision surfaces. Hence, the method is well-defined. The new method has the advantages of both a local method and a global method, i.e., it can handle meshes of any size and any topology while generating smooth interpolating subdivision surfaces that faithfully resemble the shape of the given meshes. The meshes considered here can be open or closed.