Determining the topology of real algebraic surfaces
JS Cheng, XS Gao, M Li - Mathematics of Surfaces XI: 11th IMA …, 2005 - Springer
JS Cheng, XS Gao, M Li
Mathematics of Surfaces XI: 11th IMA International Conference, Loughborough …, 2005•SpringerAn algorithm is proposed to determine the topology of an implicit real algebraic surface in ℝ
3. The algorithm consists of three steps: surface projection, projection curve topology
determination and surface patches composition. The algorithm provides a curvilinear
wireframe of the surface and the surface patches of the surface determined by the curvilinear
wireframe, which have the same topology as the surface. Most of the surface patches are
curvilinear polygons. Some examples are used to show that our algorithm is effective.
3. The algorithm consists of three steps: surface projection, projection curve topology
determination and surface patches composition. The algorithm provides a curvilinear
wireframe of the surface and the surface patches of the surface determined by the curvilinear
wireframe, which have the same topology as the surface. Most of the surface patches are
curvilinear polygons. Some examples are used to show that our algorithm is effective.
Abstract
An algorithm is proposed to determine the topology of an implicit real algebraic surface in ℝ3. The algorithm consists of three steps: surface projection, projection curve topology determination and surface patches composition. The algorithm provides a curvilinear wireframe of the surface and the surface patches of the surface determined by the curvilinear wireframe, which have the same topology as the surface. Most of the surface patches are curvilinear polygons. Some examples are used to show that our algorithm is effective.
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