Computer Aided Geometric Design
Using partial differential equations to generate free-form surfaces: 91787
Computer-Aided Design
Filling polygonal holes with rectangular patches
Theory and practice of geometric modeling
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Functional optimization for fair surface design
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Free-form shape design using triangulated surfaces
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
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
Curvature continuous spline surfaces over irregular meshes
Computer Aided Geometric Design
Computer Aided Geometric Design
Parametrization and smooth approximation of surface triangulations
Computer Aided Geometric Design
Curvature continuous interpolation of curve meshes
Computer Aided Geometric Design
Intrinsic scale space for images on surfaces: The Geodesic Curvature Flow
Graphical Models and Image Processing
Degenerate Be´zier patches with continuous curvature
Computer Aided Geometric Design
Interactive multi-resolution modeling on arbitrary meshes
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Implicit fairing of irregular meshes using diffusion and curvature flow
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Irregular C2 surface construction using bi-polynomial rectangular patches
Computer Aided Geometric Design
Modelings surfaces from meshes of arbitrary topology
Computer Aided Geometric Design
A level-set method for flow visualization
Proceedings of the conference on Visualization '00
Fairing of non-manifolds for visualization
Proceedings of the conference on Visualization '00
Designing Fair Curves and Surfaces: Shape Quality in Geometric Modeling and Computer-Aided Design
Designing Fair Curves and Surfaces: Shape Quality in Geometric Modeling and Computer-Aided Design
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
C2 free-form surfaces of degree (3,5)
Computer Aided Geometric Design
Flows under Min/Max Curvature Flow and Mean Curvature: Applications in Image Processing
ECCV '96 Proceedings of the 4th European Conference on Computer Vision-Volume I - Volume I
Generating Fair Meshes with G1 Boundary Conditions
GMP '00 Proceedings of the Geometric Modeling and Processing 2000
A simple manifold-based construction of surfaces of arbitrary smoothness
ACM SIGGRAPH 2004 Papers
Shape characterization of subdivision surfaces: basic principles
Computer Aided Geometric Design
Shape characterization of subdivision surfaces: case studies
Computer Aided Geometric Design
Second order smoothness over extraordinary vertices
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Modified subdivision surfaces with continuous curvature
ACM SIGGRAPH 2006 Papers
Concentric tessellation maps and curvature continuous guided surfaces
Computer Aided Geometric Design
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Constraint-based fairing of surface meshes
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
ACM Transactions on Graphics (TOG)
On the curvature of guided surfaces
Computer Aided Geometric Design
Extending Catmull-Clark Subdivision and PCCM with Polar Structures
PG '07 Proceedings of the 15th Pacific Conference on Computer Graphics and Applications
Pairs of bi-cubic surface constructions supporting polar connectivity
Computer Aided Geometric Design
Computer Aided Geometric Design
Subdivision Surfaces
Technical Section: Assembling curvature continuous surfaces from triangular patches
Computers and Graphics
Finite Curvature Continuous Polar Patchworks
Proceedings of the 13th IMA International Conference on Mathematics of Surfaces XIII
Lens-shaped surfaces and C 2 subdivision
Computing - Geometric Modelling, Dagstuhl 2008
G2 tensor product splines over extraordinary vertices
SGP '08 Proceedings of the Symposium on Geometry Processing
Curvature-continuous bicubic subdivision surfaces for polar configurations
Curvature-continuous bicubic subdivision surfaces for polar configurations
Guided C2 spline surfaces with V-shaped tessellation
Proceedings of the 12th IMA international conference on Mathematics of surfaces XII
A unified framework for primal/dual quadrilateral subdivision schemes
Computer Aided Geometric Design
Beyond Catmull–Clark? A Survey of Advances in Subdivision Surface Methods
Computer Graphics Forum
| Hi-index | 0.00 |
This paper gives an overview of two recent techniques for high-quality surface constructions: polar layout and the guided approach. We demonstrate the challenge of high-quality surface construction by examples since the notion of surface quality lacks an overarching theory. A key ingredient of high-quality constructions is a good layout of the surface pieces. Polar layout simplifies design and is natural where a high number of pieces meet. A second ingredient is separation of shape design from surface representation by creating an initial guide shape and leveraging classical approximation-theoretic tools to construct a final surface compatible with industry standards, either as a finite number of polynomial patches or as a subdivision process. An example construction generating guided C2 surfaces from patches of degree bi-3 highlights the power of the approach.