Curves and surfaces for computer aided geometric design: a practical guide
Curves and surfaces for computer aided geometric design: a practical guide
Functional optimization for fair surface design
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Surface approximation using geometric Hermite patches
Surface approximation using geometric Hermite patches
Interactive multiresolution mesh editing
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Phong normal interpolation revisited
ACM Transactions on Graphics (TOG)
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
I3D '01 Proceedings of the 2001 symposium on Interactive 3D graphics
Subdivision Methods for Geometric Design: A Constructive Approach
Subdivision Methods for Geometric Design: A Constructive Approach
A Corner-Cutting Scheme for Hexagonal Subdivision Surfaces
SMI '02 Proceedings of the Shape Modeling International 2002 (SMI'02)
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There are currently many methods for local triangular mesh interpolation that interpolates three end points and corresponding normal vectors of each input triangle to construct curved patches. With the curved patches we can eliminate the mismatch between the smoothness of the shading and the non-smoothness of the geometry that is particularly visible at silhouettes, showing as non-smooth edge junctions at the silhouettes vertices. In this paper we modify Nielson's side-vertex scheme to propose a hybrid interpolation scheme that integrates triangular mesh interpolation with subdivision technique. Using this scheme we can get curved patches with relatively good shape to improve the surface quality with little computation cost. Meanwhile we use adaptive normal vectors interpolation to achieve an efficient and qualitatively improved visible result for shading.