An adaptive subdivision method for surface-fitting from sampled data
SIGGRAPH '86 Proceedings of the 13th annual conference on Computer graphics and interactive techniques
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IEEE Transactions on Pattern Analysis and Machine Intelligence
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Deformable curve and surface finite-elements for free-form shape design
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Proceedings of the 28th annual conference on Computer graphics and interactive techniques
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IEEE Transactions on Visualization and Computer Graphics
ACM SIGGRAPH 2003 Papers
T-spline simplification and local refinement
ACM SIGGRAPH 2004 Papers
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User-controllable polycube map for manifold spline construction
Proceedings of the 2008 ACM symposium on Solid and physical modeling
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Polynomial splines over hierarchical T-meshes
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Technical Section: Geometry-aware domain decomposition for T-spline-based manifold modeling
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Surface fitting refers to the process of constructing a smooth representation for an object surface from a fairly large number of measured 3D data points. This paper presents an automatic algorithm to construct smooth parametric surfaces using T-splines from z-map data. The algorithm begins with a rough surface approximation and then progressively refines it in the regions where the approximation accuracy does not meet the requirement. The topology of the resulting T-spline surface is determined adaptively based on the local geometric character of the input data and the geometry of the control points is obtained by a least squares procedure. The advantage of the approach is that the resulting surface is C2 continuous and the refinement is essentially local, resulting in a small number of control points for the surface.