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Scanning and Reverse Engineering
Published in Rafiq Noorani, 3D Printing, 2017
On the other hand, subdivision seeks to generate a smooth and fine surface from the coarse mesh. By applying a refinement rule, we can obtain a smooth and detailed model. Subdivision surface schemes allow us to take the original polygon model and produce an approximated surface by adding vertices and subdividing existing polygons. There are many existing subdivision schemes. An example of a subdivision surface is shown in Figure 7.17. In this case, each triangle in the original mesh on the left is split into four new triangles [11].
Fundamentals to Geometric Modeling and Meshing
Published in Yongjie Jessica Zhang, Geometric Modeling and Mesh Generation from Scanned Images, 2018
A subdivision surface represents a smooth surface via the specification of a coarser piecewise linear polygonal mesh. The smooth limit surface can be computed from the coarse control mesh as the limit of iteratively subdividing each polygonal face into smaller ones. It is recursive in nature. Starting from a given polygonal control mesh, a refinement scheme is applied to the mesh with new vertices and faces produced.
Particle-spring systems
Published in Sigrid Adriaenssens, Philippe Block, Diederik Veenendaal, Chris Williams, Shell Structures for Architecture, 2014
Shajay Bhooshan, Diederik Veenendaal, Philippe Block
Subdivision surfaces are a representation of a smooth surface via the specification of a coarser piecewise linear polygon mesh. The smooth surface is the limit of a recursive process of subdividing each polygonal face in the coarse mesh into smaller faces, with each recursion better approximating the smooth surface.
A combined approach based on Subdivision Surface and Free Form Deformation for smart ship hull form design and variation
Published in Ships and Offshore Structures, 2018
Antonio Coppedé, Giuliano Vernengo, Diego Villa
In addition, some internal edges might be defined as crease, meaning that a knuckle is generated in correspondence of those edges, locally reducing the continuity of the surface from C2 to C0 in an orthogonal direction to the edge itself. Those features can be reproduced by classic NURBS representations but at the cost of introducing new patches, hence new control polygons, hence increasing the risk of obtaining non-coherent connections between the adjacent patches. When high-fidelity numerical computations need to be performed (Grasso et al. 2010; Gaggero, Villa, and Viviani 2017) the Subdivision Surface approach gives another benefit. In fact, transforming a complex B-Spline or NURBS surface into a computational mesh typically requires some correction tools (e.g. surface wrapper algorithms) to avoid free or non-manifold edges. On the other hand, due to its intrinsic formulation, the Subdivision Surface method easily produces closed and watertight surfaces that are suitable for high-fidelity mesh-based computations. This characteristic is a key feature especially when open-source approaches are used as in Gaggero et al. (2015).