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Modeling I

• Boundary Representation: a solid is described by its faces, a face by its vertices. This data structure is more elaborate than the usual vertex and index lists.
• Explicit functions (x,y) |---> f(x,y)
• See terrain object and relief object in Cinema 4D
• See 3D plot in OpenOffice
• Two-dimensional manifolds
• At least locally (u,v) |---> p(u,v)
• Includes most of the other types, but there are "non-manifold" ones
• Parametric primitives [parametrische Grundfiguren]
• Cube, cuboid
• Sphere
• Perfect sphere for ray tracing
• Stacks-and-slices construction
• Geodesic spheres
• Cone
• Platonic Solids
• etc.
• Extrusion
• Open/closed caps [Deckel]
• 3D text
• Bevel [Fase]
• Along curve
• Lathe ["Drehbank", Rotationskörper]
• Boolean operations (also known as Constructive Solid Geometry, CSG) with solids
• 3D modeling in real life: Cubic Tragedy and Pepakura Designer