Reconstruction of G 1 Surfaces with Biquartic patches for hp FE Simulations. 13th International Meshing Roundtable 2004

We present an efficient G 1 surface reconstruction scheme for complex solid models used in F E simulations. A novel technique based on low geometric degree (biquartic) polynomial interpolation is proposed to construct a smooth surface on arbitrary unstructured(irregular) rectangular meshes. A suitable parametric representation of surface as well as local control of individual rectangular patches is achieved via simultaneous surface fitting of a curve network with corresponding cubic normals. Necessary compatibility conditions are formulated, and proved to satisfy the tangent plane continuity and vertex enclosure constraints