Morphogenesis of surfaces with planar lines of curvature and application to architectural design

摘要: This article presents a methodology to generate surfaces with planar lines of curvature from two or three curves and tailored for architectural design. Meshing quadrilateral facets optimal offset properties the structural layout are guaranteed. The relies on invariance circular meshes by spherical inversion discrete Combescure transformations, uses parametrisation cyclidic patches. shapes resulting our called super-canal authors, as they an extension canal surfaces. An interesting connection shell theory is recalled, proposed in this paper at equilibrium under uniform normal loading. Some applications these architecture shown.