Bicubic patches for approximating non-rectangular control-point meshes
Computer Aided Geometric Design
Curves and surfaces for computer aided geometric design
Curves and surfaces for computer aided geometric design
Local surface interpolation with Be´zier patches: errata and improvements
Computer Aided Geometric Design
Curves and surfaces for computer aided geometric design (3rd ed.): a practical guide
Curves and surfaces for computer aided geometric design (3rd ed.): a practical guide
Computer Aided Geometric Design
Smoothing of free-form surfaces with Be´zier patches
Computer Aided Geometric Design
Fitting smooth surfaces to dense polygon meshes
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Automatic reconstruction of B-spline surfaces of arbitrary topological type
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Curvature continuous interpolation of curve meshes
Computer Aided Geometric Design
Localized-hierarchy surface splines (LeSS)
I3D '99 Proceedings of the 1999 symposium on Interactive 3D graphics
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
G1 continuous conditions of biquartic B-spline surfaces
Journal of Computational and Applied Mathematics - Selected papers of the international symposium on applied mathematics, August 2000, Dalian, China
G1-Interpolation of Rectangular Unrestricted Cubic Curve Meshes Using Biquintic Bézier Patches
Proceedings of the 6th IMA Conference on the Mathematics of Surfaces
T-spline simplification and local refinement
ACM SIGGRAPH 2004 Papers
Reconstruction of convergent G1 smooth B-spline surfaces
Computer Aided Geometric Design
Smooth Adaptive Fitting of 3D Models Using Hierarchical Triangular Splines
SMI '05 Proceedings of the International Conference on Shape Modeling and Applications 2005
Spectral surface quadrangulation
ACM SIGGRAPH 2006 Papers
A Theoretical Development for the Computer Generation and Display of Piecewise Polynomial Surfaces
IEEE Transactions on Pattern Analysis and Machine Intelligence
Reconstructing surfaces from sketched 3D irregular curve networks
Proceedings of the Eighth Eurographics Symposium on Sketch-Based Interfaces and Modeling
Automatic reconstruction of B-spline surfaces with constrained boundaries
Computers and Industrial Engineering
IGA-based point cloud fitting using B-spline surfaces for reverse engineering
Information Sciences: an International Journal
A study of surface reconstruction for 3D mannequins based on feature curves
Computer-Aided Design
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In this paper, we propose a novel adaptive mesh fitting algorithm that fits a triangular model with G^1 smoothly stitching bi-quintic Bezier patches. Our algorithm first segments the input mesh into a set of quadrilateral patches, whose boundaries form a quadrangle mesh. For each boundary of each quadrilateral patch, we construct a normal curve and a boundary-fitting curve, which fit the normal and position of its boundary vertices respectively. By interpolating the normal and boundary-fitting curves of each quadrilateral patch with a Bezier patch, an initial G^1 smoothly stitching Bezier patches is generated. We perform this patch-based fitting scheme in an adaptive fashion by recursively subdividing the underlying quadrilateral into four sub-patches. The experimental results show that our algorithm achieves precision-ensured Bezier patches with G^1 continuity and meets the requirements of reverse engineering.