Direct least-squares fitting of algebraic surfaces
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Incremental Boundary Evaluation Using Inference of Edge Classifications
IEEE Computer Graphics and Applications - Special issue on computer-aided geometric design
Surface-to-Surface Intersections
IEEE Computer Graphics and Applications - Special issue on computer-aided geometric design
Automatic reconstruction of B-spline surfaces of arbitrary topological type
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Constrained fitting in reverse engineering
Computer Aided Geometric Design
Intrinsic Surface Properties from Surface Triangulation
ECCV '92 Proceedings of the Second European Conference on Computer Vision
Faithful Least-Squares Fitting of Spheres, Cylinders, Cones and Tori for Reliable Segmentation
ECCV '98 Proceedings of the 5th European Conference on Computer Vision-Volume I - Volume I
Extracting Cylinders in Full 3D Data Using a Random Sampling Method and the Gaussian Image
VMV '01 Proceedings of the Vision Modeling and Visualization Conference 2001
Parameterization of Freeform Features
SMI '01 Proceedings of the International Conference on Shape Modeling & Applications
Boundary Representation Modelling Techniques
Boundary Representation Modelling Techniques
Computer Vision and Image Understanding
Automatic recognition of features from freeform surface CAD models
Computer-Aided Design
Local parameterization of freeform shapes using freeform feature recognition
Computer-Aided Design
GlobFit: consistently fitting primitives by discovering global relations
ACM SIGGRAPH 2011 papers
Robust Methods for Geometric Primitive Recovery and Estimation From Range Images
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
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In an industrial context, most manufactured objects are designed using CAD (Computer-Aided Design) software. For visualization, data exchange or manufacturing applications, the geometric model has to be discretized into a 3D mesh composed of a finite number of vertices and edges. However, the initial model may sometimes be lost or unavailable. In other cases, the 3D discrete representation may be modified, e.g. after numerical simulation, and no longer corresponds to the initial model. A retro-engineering method is then required to reconstruct a 3D continuous representation from the discrete one. In this paper, we present an automatic and comprehensive retro-engineering process dedicated mainly to 3D meshes obtained initially by mechanical object discretization. First, several improvements in automatic detection of geometric primitives from a 3D mesh are presented. Then a new formalism is introduced to define the topology of the object and compute the intersections between primitives. The proposed method is validated on 3D industrial meshes.