Generation of Smooth Surfaces by Controlling Curvature Variation
Generation of Smooth Surfaces by Controlling Curvature Variation
复制标题
通过控制曲率变化生成光滑表面
DOI：
10.1111/1467-8659.1530187
复制
发表时间：
1996
影响因子：
2.5
通讯作者：
M. Hosaka
中科院分区：
文献类型：
--
作者：
M. Higashi;H. Tsutamori;M. Hosaka
为了满足设计师的意图，构建美观的形状，如汽车车身，我们提出了一个曲面生成方法。在曲面设计过程中，设计师根据对车辆周围环境的反射图像、阴影线和高光线的高度关注来确定形状。由于反射和着色受表面法线变化的影响，因此代表表面法线变化的表面曲率变化应该是平滑的，并且按照设计者的要求分布。该方法通过由渐屈线确定曲面形状来直接控制曲面的曲率分布，渐屈线是母线曲率中心沿沿着方向移动形成曲面的轨迹。该方法首先将边界曲线的渐屈线生成为有理Bezier曲线的母线，然后将其形状插值到Bezier多边形中，并将插值后的形状定位到母线的相应位置。通过应用这种方法，我们已经证实，一个光滑的形状是由四个边界曲线。
To satisfy a designer's intention for constructing aesthetic shapes such as automotive bodies, we propose a surface generation method. In the surface design process, designers determine shapes according to their great concern for the reflected images of vehicle surroundings, shade lines and highlight lines. Since reflection and shading are affected by changes of surface normal, the curvature variation of the surface, which represents the change of the surface normal, should be smooth and distributed as designers want. The proposed method controls curvature distribution directly by determining a surface shape from an evolute, which is a locus of the curvature center of the generatrix and moves along directrices to form the surface. It first generates evolutes of boundary curves to be generatrices as rational Bezier curves, then interpolates their shapes with the Bezier polygons, and locates the interpolated shape to the corresponding position of the directrices. By applying this method, we have confirmed that a smooth shape is generated from four boundary curves.