Direct construction of polynomial surfaces from dense range images through region growing
ACM Transactions on Graphics (TOG)
Automatic reconstruction of B-spline surfaces of arbitrary topological type
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Superquadrics for Segmenting and Modeling Range Data
IEEE Transactions on Pattern Analysis and Machine Intelligence
MAPS: multiresolution adaptive parameterization of surfaces
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Vertex blending: problems and solutions
Proceedings of the international conference on Mathematical methods for curves and surfaces II Lillehammer, 1997
Partitioning 3D Surface Meshes Using Watershed Segmentation
IEEE Transactions on Visualization and Computer Graphics
Computation of Local Differential Parameters on Irregular Meshes
Proceedings of the 9th IMA Conference on the Mathematics of Surfaces
Extreme elevation on a 2-manifold
SCG '04 Proceedings of the twentieth annual symposium on Computational geometry
Shape segmentation using local slippage analysis
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Direct segmentation of algebraic models for reverse engineering
Computing - Geometric modelling dagstuhl 2002
Surface mesh segmentation and smooth surface extraction through region growing
Computer Aided Geometric Design
New trends in digital shape reconstruction
IMA'05 Proceedings of the 11th IMA international conference on Mathematics of Surfaces
Fast mesh segmentation using random walks
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Rapid and effective segmentation of 3D models using random walks
Computer Aided Geometric Design
Setback Vertex Blends in Digital Shape Reconstruction
Proceedings of the 13th IMA International Conference on Mathematics of Surfaces XIII
Patch layout from feature graphs
Computer-Aided Design
SMI 2011: Full Paper: An approach to automated decomposition of volumetric mesh
Computers and Graphics
SMI 2011: Full Paper: Parallel computation of spherical parameterizations for mesh analysis
Computers and Graphics
A parametric feature-based approach to reconstructing traditional filigree jewelry
Computer-Aided Design
Towards locally and globally shape-aware reverse 3D modeling
Computer-Aided Design
A framework for 3D model reconstruction in reverse engineering
Computers and Industrial Engineering
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One of the most challenging goals in digital shape reconstruction is to create high-quality surface models from measured data with a minimal amount of user assistance. We present techniques to meet the requirements of mechanical engineering CAD/CAM/CAE. The reconstructed models are composed of a hierarchy of surfaces, including primary surfaces, connecting features, (e.g. fillets) and vertex blends, and obey a well-defined topological structure. First, combinatorially robust segmentation techniques borrowed from Morse theory are presented. This is followed by computing a ''feature skeleton'' on the mesh that determines the primary regions of the object. The final surface structure comprises the optimally located boundaries of the connecting features and setback type vertex blends, which are faithfully aligned with the actual geometry of the object. This CAD-like surface structure is sufficient for high-quality surface approximations. A few representative objects reconstructed by Geomagic systems illustrate the efficiency and quality of the approach.