Curves and surfaces for computer aided geometric design
Curves and surfaces for computer aided geometric design
Surface reconstruction from unorganized points
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Three-dimensional alpha shapes
ACM Transactions on Graphics (TOG)
Automatic reconstruction of surfaces and scalar fields from 3D scans
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
The NURBS book (2nd ed.)
A new Voronoi-based surface reconstruction algorithm
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
A simple algorithm for homeomorphic surface reconstruction
Proceedings of the sixteenth annual symposium on Computational geometry
Detecting undersampling in surface reconstruction
SCG '01 Proceedings of the seventeenth annual symposium on Computational geometry
Delaunay based shape reconstruction from large data
PVG '01 Proceedings of the IEEE 2001 symposium on parallel and large-data visualization and graphics
Modern Differential Geometry of Curves and Surfaces with Mathematica
Modern Differential Geometry of Curves and Surfaces with Mathematica
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Current surface reconstruction algorithms focus on complex surfaces or irregular surfaces. However, surfaces of revolution are very important in industrial applications and reconstruction of rotating surfaces are often required. To reconstruct a surface of revolution is to determine its axis and generatrix. The main obstacle is derived from, different from surfaces used in current surface reconstruction, the data of a surface of revolution are typically partially sampled. It makes the reconstruction of rotating surfaces a real interesting problem. In this paper, we present an algorithm to compute the axis and generatix of a surface of revolution in such partially sampled case.