Polyhedral subdivision methods for free-form surfaces
ACM Transactions on Graphics (TOG)
Piecewise smooth surface reconstruction
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Smooth spline surfaces over irregular meshes
SIGGRAPH '94 Proceedings of the 21st 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
Piecewise smooth subdivision surfaces with normal control
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Triangular G1 interpolation by 4-splitting domain triangles
Computer Aided Geometric Design
Smooth patching of refined triangulations
ACM Transactions on Graphics (TOG)
Curves and surfaces for CAGD: a practical guide
Curves and surfaces for CAGD: a practical guide
Proceedings of the conference on Visualization '01
Polynomial Surfaces Interpolating Arbitrary Triangulations
IEEE Transactions on Visualization and Computer Graphics
ACM SIGGRAPH 2003 Papers
Hierarchical triangular splines
ACM Transactions on Graphics (TOG)
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This paper presents a method to create sharp features such as creases or corners on non-regular triangular meshes. To represent sharp features on a triangular spline surface we have studied a method that enables designers to control the sharpness of the feature parametrically. Extended meshes are placed to make parallelograms, and then we have an extended vertex which is used to compute control points for a triangular Bézier patch. This extended vertex expressed with a parameter enables designers to change the shape of the sharp features. The former method we presented deals with regular meshes, however, it can be a strong restriction against the actual variety of meshes. Therefore, we developed a method to express sharp features around an extraordinary vertex. In this paper, we present algorithms to express creases and corners for a triangular mesh including extraordinary vertices.