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Surface triangulation and the downstream effects on surface flattening

Sudheer Singh Parwana-2011-07-01-University of Birmingham Institutional Research Archive (University of Birmingham)
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TL;DRAbstract

Surface triangulation is an active area of research due to its wide usage in a range of different computer aided applications, including computer aided design (CAD), manufacture (CAM) and finite element analysis (FEA). Although these applications are used to create, interrogate, manipulate and analyse surfaces, internally they actually approximate the surface geometry using a triangulation and then operate on the triangles, making them triangulation dependant algorithms. However, despite the reliance on the triangulation by the downstream application, there is very little work which has been focused on the inherent affects of the underlying triangulation on the performance or result of the application. Therefore, the impact of the triangulation on the downstream application is still not well known or defined. This thesis investigates triangulation and the downstream effects on the triangulation dependant method of surface flattening. Two novel topics are explored, notably right angle t

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Surface triangulation is an active area of research due to its wide usage in a range of different computer aided applications, including computer aided design (CAD), manufacture (CAM) and finite element analysis (FEA). Although these applications are used to create, interrogate, manipulate and analyse surfaces, internally they actually approximate the surface geometry using a triangulation and then operate on the triangles, making them triangulation dependant algorithms. However, despite the reliance on the triangulation by the downstream application, there is very little work which has been focused on the inherent affects of the underlying triangulation on the performance or result of the application. Therefore, the impact of the triangulation on the downstream application is still not well known or defined. This thesis investigates triangulation and the downstream effects on the triangulation dependant method of surface flattening. Two novel topics are explored, notably right angle t

Keywords

FlatteningTriangulationSurface triangulationMinimum-weight triangulationGeometryPoint set triangulationSurface (topology)Gaussian curvature

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