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
Identification of C1 and C2 discontinuities for surface meshes in CAD
Computer-Aided Design
3D mesh segmentation using mean-shifted curvature
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
| Hi-index | 0.00 |
One of the most challenging goals in digital shape reconstruction is to create a high-quality surface model from measured data with a minimal amount of user assistance. We present techniques to automate this process and create a digital model that meets the requirements in mechanical engineering CAD/CAM/CAE. Such a CAD model is composed of a hierarchy of different types of surfaces, including primary surfaces, connecting features and vertex blends at their junctions, and obey a well-defined topological structure that we would like to reconstruct as faithfully as possible. First, combinatorially robust segmentation techniques, borrowed from Morse theory, are presented. This is followed by an algorithm to create a so-called feature skeleton, which is a curve network on the mesh that represents the region structure of the object. The final surface structure comprises the optimally located boundaries of edge blends and setback vertex blends, which are well aligned with the actual geometry of the object. This makes the surface structure sufficient for an accurate, CAD-like surface approximation including both quadrangular and trimmed surface representations. A few representative industrial objects reconstructed by Geomagic systems illustrate the efficiency and quality of the approach.