Smooth free-form surfaces over irregular meshes generalizing quadratic splines
Selected papers of the international symposium on Free-form curves and free-form surfaces
A G1 triangular spline surface of arbitrary topological type
Computer Aided Geometric Design
Piecewise smooth surface reconstruction
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
A signal processing approach to fair surface design
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Analysis of Algorithms Generalizing B-Spline Subdivision
SIAM Journal on Numerical Analysis
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Analysis and application of subdivision surfaces
Analysis and application of subdivision surfaces
Continuous contact simulation for smooth surfaces
ACM Transactions on Graphics (TOG)
Generating Sharp Features on Non-regular Triangular Meshes
ICCS '08 Proceedings of the 8th international conference on Computational Science, Part II
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This paper presents a simple algorithm for associating a smooth, low-degree polynomial surface with triangulations whose extraordinary mesh nodes are separated by sufficiently many ordinary, 6-valent mesh nodes. Output surfaces are at least tangent continuous and are C2 sufficiently far away from extraordinary mesh nodes; they consist of three-sided Bézier patches of degree 4. In particular, the algorithm can be used to skin a mesh generated by a few steps of Loop's generalization of three-direction box-spline subdivision.