Bicubic patches for approximating non-rectangular control-point meshes
Computer Aided Geometric Design
Computer Aided Geometric Design
Generalized B-spline surfaces of arbitrary topology
SIGGRAPH '90 Proceedings of the 17th annual conference on Computer graphics and interactive techniques
Generalized B-spline surfaces of arbitrary topological type
Generalized B-spline surfaces of arbitrary topological type
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
Efficient, fair interpolation using Catmull-Clark surfaces
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
Smooth free-form surfaces over irregular meshes generalizing quadratic splines
Selected papers of the international symposium on Free-form curves and free-form surfaces
A G1 triangular spline surface of arbitrary topological type
Computer Aided Geometric Design
Design of solids with free-form surfaces
SIGGRAPH '83 Proceedings of the 10th annual conference on Computer graphics and interactive techniques
Geometric continuity: a parametrization independent measure of continuity for computer aided geometric design (curves, surfaces, splines)
A signal processing approach to fair surface design
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Modeling surfaces of arbitrary topology using manifolds
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
ACM Transactions on Graphics (TOG)
ACM Transactions on Graphics (TOG)
Interpolating Subdivision for meshes with arbitrary topology
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
Interactive multiresolution mesh editing
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Interactive multi-resolution modeling on arbitrary meshes
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Non-uniform recursive subdivision surfaces
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
A unified approach for simplifying polygonal and spline models
Proceedings of the conference on Visualization '98
Blending, smoothing and interpolation of irregular meshes using N-sided Varady patches
Proceedings of the fifth ACM symposium on Solid modeling and applications
Time critical isosurface refinement and smoothing
VVS '00 Proceedings of the 2000 IEEE symposium on Volume visualization
Delaunay based shape reconstruction from large data
PVG '01 Proceedings of the IEEE 2001 symposium on parallel and large-data visualization and graphics
A framework for facial surgery simulation
SCCG '02 Proceedings of the 18th spring conference on Computer graphics
Shape Models and Object Recognition
Shape, Contour and Grouping in Computer Vision
Scattered Data Techniques for Surfaces
Dagstuhl '97, Scientific Visualization
Smooth surface representation over irregular meshes
Handbook of computer animation
Watermarking subdivision surfaces based on addition property of Fourier transform
Proceedings of the 2nd international conference on Computer graphics and interactive techniques in Australasia and South East Asia
Spherical manifolds for adaptive resolution surface modeling
GRAPHITE '05 Proceedings of the 3rd international conference on Computer graphics and interactive techniques in Australasia and South East Asia
Generating symbolic interpolants for scattered data with normal vectors
Journal of Computer Science and Technology
Volumetric parameterization and trivariate b-spline fitting using harmonic functions
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Generating Sharp Features on Non-regular Triangular Meshes
ICCS '08 Proceedings of the 8th international conference on Computational Science, Part II
Volumetric parameterization and trivariate B-spline fitting using harmonic functions
Computer Aided Geometric Design
Piecewise Rational Manifold Surfaces with Sharp Features
Proceedings of the 13th IMA International Conference on Mathematics of Surfaces XIII
Smooth image surface approximation by piecewise cubic polynomials
CIARP'07 Proceedings of the Congress on pattern recognition 12th Iberoamerican conference on Progress in pattern recognition, image analysis and applications
3DIM'99 Proceedings of the 2nd international conference on 3-D digital imaging and modeling
GMP'06 Proceedings of the 4th international conference on Geometric Modeling and Processing
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An algorithm for creating smooth spline surfaces over irregular meshes is presented. The algorithm is a generalization of quadratic B-splines; that is, if a mesh is (locally) regular, the resulting surface is equivalent to a B-spline. Otherwise, the resulting surface has a degree 3 or 4 parametric polynomial representation. A construction is given for representing the surface as a collection of tangent plane continuous triangular Be´zier patches. The algorithm is simple, efficient, and generates aesthetically pleasing shapes.