Surface Schemes for Three-Dimensional Design Space

三维实体设计空间是一种先进的 三维几何造型设计工作站 应用程序，由一个主机，一个三维 立体显示系统和现有技术输入设备 其能够感测每一个的位置和取向， 用户的手指 设计空间平滑变化的复合体 表面形状，如汽车车身，飞机机身， 电话外壳 为了支持这种类型的设计， 必须找到一种能够描述 任意拓扑的一阶或二阶光滑形状; 表面方案应该是可有效计算和支持的 连续细化设计 不幸的是，现有的表面 代表方案未能达到这些标准。 本研究涉及新方案的开发 具有上述特征的。 这种表面 计划将不仅享受在互动三- 三维设计，他们也将找到重要的应用 在各种数据拟合问题中。

The Three-Dimensional Solid Design Space is an advanced design workstation for three-dimensional geometric modeling applications, composed of a host computer, a three-dimensional stereoscopic display system, and a state-of-the-art input device capable of sensing the position and orientation of each of the user's fingers. The Design Space smoothly varying complex surface shapes such as car bodies, airplane fuselages, and telephone casings. To support this type of design, a surface representation scheme must be found that is capable of describing either first or second order smooth shapes of arbitrary topology; the surface scheme should be efficiently computable and support successive refinement design. Unfortunately, existing surface representation schemes fail to meet these standards. This research deals with the development of new schemes that possess the characteristics listed above. Such surface schemes will not only enjoy use in interactive three- dimensional design, they will also find important applications in a variety of data fitting problems.