Segmentation through Variable-Order Surface Fitting
IEEE Transactions on Pattern Analysis and Machine Intelligence
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
Vertex blending: problems and solutions
Proceedings of the international conference on Mathematical methods for curves and surfaces II Lillehammer, 1997
A survey of methods for recovering quadrics in triangle meshes
ACM Computing Surveys (CSUR)
Constrained fitting in reverse engineering
Computer Aided Geometric Design
Robust Feature Classification and Editing
IEEE Transactions on Visualization and Computer Graphics
Automatic extraction of surface structures in digital shape reconstruction
Computer-Aided Design
Surface mesh segmentation and smooth surface extraction through region growing
Computer Aided Geometric Design
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Digital shape reconstruction (DSR) deals with creating CAD models of physical objects using 3D scanned data. Our primary interest is to reconstruct mechanical engineering objects that are usually composed of a hierarchy of surfaces --- primary surfaces, connecting features (fillets) and vertex blends --- and are structured by well-defined topological rules. After an overview of segmenting large polygonal meshes by the functional decomposition paradigm, we focus on the reconstruction of vertex blends using setbacks. This topic was thoroughly studied more than a decade ago in the context of constructive CAD; now the concept is revisited for DSR. A new method is presented to locate the optimal cross-sectional termination of fillets and construct the boundary curves of vertex blends on the mesh. These will correspond to the vertex blend boundaries of the final CAD model, as well. Finally, we discuss special cases of self-intersecting segmenting curve networks, and show how these problems can be resolved by setback vertex blends.