The smoothing properties of variational schemes for surface design
نویسندگان
چکیده
The smoothing properties of variational methods for the design of fair surfaces are considered using a PDE (partial differential equation) model. The PDE is the Euler-Lagrange equation that is obtained from the variational formulation of the surface design problem. The smoothing properties of the design scheme are considered by looking at the scheme's efficiency in reducing the amplitude of the various high frequency Fourier harmonics in the surface.
منابع مشابه
Distorted Reflector Antennas: Radiation Pattern Sensitivity to the Surface Distortions
The high-frequency performance of the reflector antennas is mainly limited by the surface. It has been shown that distortions on different regions of the reflector surface can have different effects on the radiation performance. In other words, degradation of the radiation pattern due to the presence of surface distortions is sensitive to the location and behavior of the surface distortion prof...
متن کاملMathematical Properties of Variational Subdivision Schemes — Technical Report CS - TR - 98 - 325
Subdivision schemes for variational splines were introduced in the paper [WW98]. This technical report focusses on discussing the mathematical properties of these subdivision schemes in more detail. Please read the original paper before reading this analysis.
متن کاملA Hybrid, Variational 3D Smoother For Orphaned Shell Meshes
In the present paper, a hybrid , variational, user-controlled, 3D mesh smoothing algorithm is proposed for orphaned shell meshes. The smoothing model is based on a variational combination of energy and equi-potential minimization theories. A variety of smoothing techniques for predicting a new location for the node-to-smooth are employed. Each node is moved according to a specific smoothing alg...
متن کاملNew Shewhart-type synthetic bar{X} control schemes for non-normal data
In this paper, Burr-type XII ̄X synthetic schemes are proposed as an alternative to the classical ̄X synthetic schemes when the assumption of normality fails to hold. First, the basic design of the Burr-type XII ̄X synthetic scheme is developed and its performance investigated using exact formulae. Secondly, the non-side-sensitive and side-sensitive Burr-type XII ̄X synthetic schemes are int...
متن کاملStrong convergence for variational inequalities and equilibrium problems and representations
We introduce an implicit method for nding a common element of the set of solutions of systems of equilibrium problems and the set of common xed points of a sequence of nonexpansive mappings and a representation of nonexpansive mappings. Then we prove the strong convergence of the proposed implicit schemes to the unique solution of a variational inequality, which is the optimality condition for ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Computer Aided Geometric Design
دوره 12 شماره
صفحات -
تاریخ انتشار 1995