Local Shape Control of a Bivariate Rational Interpolating Surface with Mixing Conditions

2011 ◽  
Author(s):  
Yunfeng Zhang ◽  
Fangxun Bao ◽  
Caiming Zhang ◽  
Duan Qi
Keyword(s):  
Shape Control ◽  
Mixing Conditions ◽  
Local Shape

Energy Optimization in Local Shape Control of Structures with Nonlinear Peizoelectric Actuators

AIAA Journal ◽  
2005 ◽  
Vol 43 (10) ◽  
pp. 2210-2217 ◽  
Author(s):  
Dongchang Sun ◽  
Liyong Tong
Keyword(s):  
Shape Control ◽  
Energy Optimization ◽  
Local Shape

Cubic Uniform B-Spline Curve and Surface with Multiple Shape Parameters

2014 ◽  
Vol 543-547 ◽  
pp. 1860-1863
Author(s):  
Xi Wang ◽  
Cui Cui Gao ◽  
Chen Jiang
Keyword(s):  
Shape Control ◽  
Basis Functions ◽  
Control Parameters ◽  
Shape Parameters ◽  
Surface Design ◽  
Local Shape ◽  
B Spline ◽  
Spline Curves ◽  
Curve Fit ◽  
Polynomial Curve

In order to construct B-spline curves with local shape control parameters, a class of polynomial basis functions with two local shape parameters is presented. Properties of the proposed basis functions are analyzed and the corresponding piecewise polynomial curve is constructed with two local shape control parameters accordingly. In particular, the G1 continuous and the shapes of other segments of the curve can remain unchangeably during the manipulation on the shape of each segment on the curve. Numerical examples illustrate that the constructed curve fit to the control polygon very well. Furthermore, its applications in curve design is discussed and an extend application on surface design is also presented. Modeling examples show that the new curve is very valuable for the design of curves and surfaces.

A New Approach to Minimisations for Shape Control During Free-Form Surface Deformation

2003 ◽  
Author(s):  
Jean-Philippe Pernot ◽  
Ste´phane Guillet ◽  
Jean-Claude Le´on ◽  
Bianca Facidieno ◽  
Franca Giannini
Keyword(s):  
Coming Out ◽  
Shape Control ◽  
Surface Deformation ◽  
Free Form ◽  
Local Shape ◽  
New Approach ◽  
Anisotropic Surface ◽  
Surface Control ◽  
Free Form Surface ◽  
Deformation Models

Even if researches on free-form surface deformation have produced a lot of various methods, very few of them are able to really control the shape in an adequately interactive way and most of them propose a unique solution to the underconstrained system of equations coming out of their deformation models. In our approach, where the deformation is performed through the static equilibrium modification of a bar network coupled to the surface control polyhedron, different minimizations have been proposed to overcome these limits and form a set of representative parameters that can be used to give access to the desired shape. In this paper, a reformulation of the optimization problem is presented thus enabling the generation of new shapes based on a common set of minimization criteria. Such a modification widens the variety of shapes still verifying the same set of constraints. When generalizing some of these minimizations the user has access to a continuous set of shapes while acting on a single parameter. Taking advantage of the reformulation, anisotropic surface behaviors are considered too and briefly illustrated. In addition, the possibility of defining several minimizations on different areas of a surface is sketched and aims at giving the user more freedom in local shape definition. The whole minimizations proposed are illustrated through examples resulting from our surface deformation software.

Local shape control for free-form solids in exact CSG representation

1996 ◽  
Vol 28 (6-7) ◽  
pp. 483-493 ◽  
Author(s):  
Baining Guo ◽  
Jai Menon
Keyword(s):  
Shape Control ◽  
Free Form ◽  
Local Shape

scholarly journals Anisotropic deformation for local shape control

2017 ◽  
Vol 3 (4) ◽  
pp. 305-313 ◽  
Author(s):  
Matteo Colaianni ◽  
Christian Siegl ◽  
Jochen Süßmuth ◽  
Frank Bauer ◽  
Günther Greiner
Keyword(s):  
Shape Control ◽  
Local Shape ◽  
Anisotropic Deformation
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