Reconstruction of G 1 Surfaces With Biquartic Patches for HP Fe Simulations
نویسندگان
چکیده
We present an efficient G surface reconstruction scheme for complex solid models used in FE 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.
منابع مشابه
Biquartic C1-surface splines over irregular meshes
C 1-surface splines deene tangent continuous surfaces from control points in the manner of tensor-product (B-)splines, but allow a wider class of control meshes capable of outlining arbitrary free-form surfaces with or without boundary. In particular, irregular meshes with non quadrilateral cells and more or fewer than four cells meeting at a point can be input and are treated in the same conce...
متن کاملIn-plane Band Gaps in a Periodic Plate with Piezoelectric Patches
A plate periodically bonded with piezoelectric patches on its surfaces is considered. The differential quadrature element method is used to solve the wave motion equation for the two-dimensional periodic structure. The method is very simple and easy to implement. Based on the method, band structures for in-plane wave propagating in the periodic piezoelectric plate are studied, from which the fr...
متن کاملEfficient Computational Algorithm for Spline Surfaces
Many data mining tasks can be reformulated as optimization problems, in the solution of which approximation by surfaces plays a key role. The paper proposes a new efficient computational algorithm for spline surfaces over uniform grids. The algorithm is based on a recent result on approximation of a biquartic polynomial by bicubic ones, that ensures C2 continuity of the corresponding four bicub...
متن کاملFlexible G1 interpolation of quad meshes
Transforming an arbitrary mesh into a smooth G surface has been the subject of intensive research works. To get a visual pleasing shape without any imperfection even in the presence of extraordinary mesh vertices is still a challenging problem in particular when interpolation of the mesh vertices is required. We present a new local method, which produces visually smooth shapes while solving the...
متن کاملProper integration time of polarization signals of internetwork regions using Sunrise/IMaX data
Distribution of magnetic fields in the quiet-Sun internetwork areas has been affected by weak polarization (in particular Stokes Q and U) signals. To improve the signal-to-noise ratio (SNR) of the weak polarization signals, several approaches, including temporal integrations, have been proposed in the literature. In this study, we aim to investigate a proper temporal-integration time with which...
متن کامل