A survey of curve and surface methods in CAGD
Computer Aided Geometric Design
Triangular Berstein-Be´zier patches
Computer Aided Geometric Design
Geometric continuity and convex combination patches
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ACM Transactions on Graphics (TOG)
Curves and surfaces for computer aided geometric design: a practical guide
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Survey and new results in n-sided patch generation
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Design of solids with free-form surfaces
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Geometric continuity: a parametrization independent measure of continuity for computer aided geometric design (curves, surfaces, splines)
Local surface interpolation with Bézier patches
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
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Creating multisided rational Bézier surfaces using base points
ACM Transactions on Graphics (TOG)
Functional composition algorithms via blossoming
ACM Transactions on Graphics (TOG)
Modeling surfaces of arbitrary topology using manifolds
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
A feature-based approach for smooth surfaces
SMA '97 Proceedings of the fourth ACM symposium on Solid modeling and applications
Localized-hierarchy surface splines (LeSS)
I3D '99 Proceedings of the 1999 symposium on Interactive 3D graphics
Blending, smoothing and interpolation of irregular meshes using N-sided Varady patches
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A generic approach to free form surface generation
Proceedings of the seventh ACM symposium on Solid modeling and applications
C2 free-form surfaces of degree (3,5)
Computer Aided Geometric Design
Continuous contact simulation for smooth surfaces
ACM Transactions on Graphics (TOG)
G2 Blend Surfaces and Filling of N-sided Holes
IEEE Computer Graphics and Applications
Generalized barycentric coordinates on irregular polygons
Journal of Graphics Tools
Blending parametric patches with subdivision surfaces
Journal of Computer Science and Technology
Interactive Deformation of Irregular Surface Models
ICCS '02 Proceedings of the International Conference on Computational Science-Part II
Scattered Data Techniques for Surfaces
Dagstuhl '97, Scientific Visualization
Constructive modeling of G1 bifurcation
Computer Aided Geometric Design
Computer Aided Geometric Design
Multiresolution Constraints for Designing Subdivision Surfaces via Local Smoothing
PG '99 Proceedings of the 7th Pacific Conference on Computer Graphics and Applications
Multisided arrays of control points for multisided Bézier patches
Computer Aided Geometric Design
A simple manifold-based construction of surfaces of arbitrary smoothness
ACM SIGGRAPH 2004 Papers
Mean value coordinates for closed triangular meshes
ACM SIGGRAPH 2005 Papers
Hierarchical triangular splines
ACM Transactions on Graphics (TOG)
N-sided patches with B-spline boundaries
Computers and Graphics
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Proceedings of the 2007 ACM symposium on Solid and physical modeling
Harmonic coordinates for character articulation
ACM SIGGRAPH 2007 papers
A geometric construction of coordinates for convex polyhedra using polar duals
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
Spherical barycentric coordinates
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Journal of Computational Physics
Unequal weighting for improved positioning in GPS-less sensor networks
EURASIP Journal on Advances in Signal Processing
Piecewise Rational Manifold Surfaces with Sharp Features
Proceedings of the 13th IMA International Conference on Mathematics of Surfaces XIII
A vertex-first parametric algorithm for polyhedron blending
Computer-Aided Design
Skeleton-based surface construction from unorganized curves
CGIM '08 Proceedings of the Tenth IASTED International Conference on Computer Graphics and Imaging
Maximum entropy coordinates for arbitrary polytopes
SGP '08 Proceedings of the Symposium on Geometry Processing
Polyhedral vertex blending with setbacks using rational S-patches
Computer Aided Geometric Design
Proceedings of the 12th IMA international conference on Mathematics of surfaces XII
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
On transfinite interpolations with respect to convex domains
Computer Aided Geometric Design
Transfinite surface interpolation over irregular n-sided domains
Computer-Aided Design
Positive Gordon-Wixom coordinates
Computer-Aided Design
The Bernstein polynomial basis: A centennial retrospective
Computer Aided Geometric Design
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In this paper we introduce a class of surface patch representations, called S-patches, that unify and generalize triangular and tensor product Bézier surfaces by allowing patches to be defined over any convex polygonal domain; hence, S-patches may have any number of boundary curves. Other properties of S-patches are geometrically meaningful control points, separate control over positions and derivatives along boundary curves, and a geometric construction algorithm based on de Casteljau's algorithm. Of special interest are the regular S-patches, that is, S-patches defined on regular domain polygons. Also presented is an algorithm for smoothly joining together these surfaces with Ck continuity.