The NURBS book
Multiresolution analysis of arbitrary meshes
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Fitting smooth surfaces to dense polygon meshes
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Surface simplification using quadric error metrics
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Advanced surface fitting techniques
Computer Aided Geometric Design
I3D '03 Proceedings of the 2003 symposium on Interactive 3D graphics
Catmull-Clark Surface Fitting for Reverse Engineering Applications
GMP '00 Proceedings of the Geometric Modeling and Processing 2000
PG '00 Proceedings of the 8th Pacific Conference on Computer Graphics and Applications
Approximation with Active B-Spline Curves and Surfaces
PG '02 Proceedings of the 10th Pacific Conference on Computer Graphics and Applications
A concept for parametric surface fitting which avoids the parametrization problem
Computer Aided Geometric Design
Surface Reconstruction with Triangular B-splines
GMP '04 Proceedings of the Geometric Modeling and Processing 2004
QEM-based mesh simplification with global geometry features preserved
Proceedings of the 2nd international conference on Computer graphics and interactive techniques in Australasia and South East Asia
Smooth Adaptive Fitting of 3D Models Using Hierarchical Triangular Splines
SMI '05 Proceedings of the International Conference on Shape Modeling and Applications 2005
Adaptive patch-based mesh fitting for reverse engineering
Computer-Aided Design
A second order algorithm for orthogonal projection onto curves and surfaces
Computer Aided Geometric Design
Automatic construction of quadrilateral network of curves from triangular meshes
Advances in Engineering Software
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The aim of this study is to present an automatic surface reconstruction method that can take practical restrictions on scanned points into consideration and efficiently and reliably output a group of G^1 surfaces. The proposed method is mainly composed of three phases: quadrangle frame generation, point and curve networks planning, and surface patches reconstruction. In the first phase, the original triangle mesh is reduced and converted into a quadrangle mesh, the edges of which serve as the frame of the surfaces. In the second phase, the boundary data of the surfaces are prepared. These include a network of serial points, frame curves and surface normals which are also expressed as curves. In the final phase, surface initialization, harmonization mapping and surface warping are presented to yield the desired surfaces. The main advantage of the proposed method is that it can relax the pre-processing of a scanned triangle mesh, and hence, increase the efficiency and quality of the surface reconstruction. Several examples of various types of air bags are presented to demonstrate the feasibility of the proposed method.