The Research of CAD System based on Implicit Surfaces(SLIM) Kernel

为了用隐函数法实现设计制造领域CAD/CAM/CAE系统所有内部数据表示格式的改写(标准化)，我们主要针对曲面的实体模型，以隐函数曲面为设计制造CAD系统的核心，进行了以下四个方面的研究。(1)利用机具功能面开发造型内核，建立几何处理、输入输出处理等基础库(功能组)作为造型内核。因此，我们现在能够应用光滑的拉普拉斯变形，在三角形网格变形中经常用于细长的曲面，在需要的时候创建关于支撑中心点之间相互关系的链接图。这实现了实时动态体积变形，同时保留了微小零件的形状。(2)三角网格和曲面到IMP…转换方法的研究与开发更多合法的函数曲面，以及从三角网格或自由曲面到隐式函数曲面的转换方法的发展。我们通过定义从三角网格或自由曲面到隐式函数曲面的距离来定义评价函数，并将最小化该距离的过程融入到实现函数曲面的构造算法中，从而逐步实现了这一点。(3)CAD系统的操作和功能的开发。针对这一主题，我们开发了用于测试耦合和高亮线反射等的功能，并作为常规CAD系统的功能来测试与平面、圆柱体、球体等标准形状的偏差。我们还开发了一种基于GPU的绘制方法，该方法可以高速直接显示隐式函数曲面(该开发获得了第13届图像电子会议最优秀论文奖)。(4)利用CAD系统对原型产品形状进行仿真和评估。对于这一主题，我们试图将模拟和评估与计算流体力学模拟联系起来，以考虑对与设计和制造密切相关的工程师的评估。较少

In the aim to realize the rewriting (standardization) of all internal data expression formats of CAD/CAM/CAE systems used in design and manufacturing fields by the implicit function method, we are focusing on the following four research themes which take implicit function surfaces as the kernel of CAD systems in design and manufacturing by primarily targeting solid model of surfaces. (1) Development of modeling kernel using implement function surfaces, and establishment of basic library (function group) of geometric processing, input/output processing, etc. as the modeling kernel. As a result, we are now able to apply smooth Laplacian deformation often used in triangular mesh deformation for SLIM surfaces, create linkage graphs on the mutual relations between center points of supports whenever required. This enables real-time dynamic volume deformation while retaining the shapes of minute parts. (2) Research and development on conversion methods from triangular mesh and surfaces to imp … More licit function surfaces, and development of conversion methods from triangular mesh or free form surfaces to implicit function surfaces. We are gradually realizing this by defining evaluation functions based on the distance from triangular mesh or free form surfaces to implicit function surfaces, and incorporating the process of minimizing this distance into the construction algorithm of implement function surfaces. (3) Development of operations and functions for CAD systems. For this theme, we have developed functions for testing coupling as well as reflection of highlight lines, etc. and for testing deflection from standard shapes such as planes, cylinders, spheres, etc. as functions of conventional CAD systems. We have also developed a rendering method using GPU which can directly show implicit function surfaces at high speed (this development received the 13th Image Electronics Conference Most Outstanding Paper Award), (4) Simulation and evaluation of prototype product shapes using CAD systems. For this theme, we are attempting linkage of simulation and evaluation to computational fluid dynamics simulation to take into account evaluation of engineers closely involved in design and manufacturing. Less