G1 Bézier surface generation from given boundary curve network with T-junction

Authors:
Min-jae Oh;Sung Ha Park;Tae-wan Kim
Affiliations:
Department of Naval Architecture and Ocean Engineering, Seoul National University, Seoul, Republic of Korea;Department of Naval Architecture and Ocean Engineering, Seoul National University, Seoul, Republic of Korea;Department of Naval Architecture and Ocean Engineering, and Research Institute of Marine Systems Engineering, Seoul National University, Seoul, Republic of Korea
Venue:
GMP'10 Proceedings of the 6th international conference on Advances in Geometric Modeling and Processing
Year:
2010

Citing 13
Cited 0

G1 interpolation of generally unrestricted cubic Bézier curves

Computer Aided Geometric Design - Special issue: Topics in CAGD
Local smooth surface interpolation: a classification

Computer Aided Geometric Design
On the G1 continuity of piecewise Be´zier surfaces: a review with new results

Computer-Aided Design - Special Issue: Be´zier Techniques
A G1 triangular spline surface of arbitrary topological type

Computer Aided Geometric Design
Triangular G1 interpolation by 4-splitting domain triangles

Computer Aided Geometric Design
Curves and surfaces for CAGD: a practical guide

Curves and surfaces for CAGD: a practical guide
T-spline simplification and local refinement

ACM SIGGRAPH 2004 Papers
Analysis and avoidance of singularities for local G 1 surface interpolation of Bézier curve network with 4-valent nodes

Computing - Special issue on Geometric Modeling (Dagstuhl 2005)
Parametric triangular Bézier surface interpolation with approximate continuity

Proceedings of the 2008 ACM symposium on Solid and physical modeling
Polynomial splines over hierarchical T-meshes

Graphical Models
High-order approximation of implicit surfaces by G1 triangular spline surfaces

Computer-Aided Design
Interpolating G1 Bézier surfaces over irregular curve networks for ship hull design

Computer-Aided Design
Local and singularity-free G 1 triangular spline surfaces using a minimum degree scheme

Computing - Geometric Modelling, Dagstuhl 2008

Quantified Score

Hi-index	0.00

Visualization

Abstract

T-junctions usually appear in surface modeling processes that start with a given curve network. However, since T-shaped patches are not available in current CAD system so existing G1 surface generation methods are restricted to n-sided patches. Therefore a designer must design a curve network without T-junctions, or subdivide it into n-sided patches, to avoid T-shaped topologies. We generate G1 Bézier surfaces at a T-junction by combining the coplanar G1 continuity condition with the de Casteljau algorithm to avoid the collision of twist points. Both T-junctions in the middle of boundary curves and at 3-valent vertices are considered. Our method requires no subdivision or triangulation of the surface, and the curve network is not changed.