A STUDY ON NC-CUTTER PATH GENERATION FOR SUBDIVISION SURFACES

细分曲面数控刀具路径生成的研究

• 批准号: 13650146
• 负责人: SUZUKI Hiromasa
• 金额: $ 2.05万
• 依托单位: THE UNIVERSITY OF TOKYO
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2001
• 资助国家: 日本
• 起止时间: 2001 至 2002
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-13650146/
• 关键词: Subdivision Surface; Skinning; Surface Interpolation; CAD; Free Form Surface; 細分割; 曲面デザイン

Recently, subdivision surfaces are getting more attention. However in contrast to the case of parametric surfaces, there are not enough modeling tools for subdivision surfaces. In this paper, we propose a method for direct construction of subdivision surfaces with popular skinning and interpolation methods. The skinning methods consists of two different approaches. One focuses on smoothness of the resulting surface and the other on features of the give curves. With this method, intuitive construction of subdivision surface from given sectional curves and path curve can be made.Our interpolation method is designed to take a set of design curves which are not assumed to have accurate connectivity so as to facilitate the designer to input curves. First our method deduces the connectivity from the spatial relationship of the curves and then decides the topology of the surface. Then it applies combined subdivision scheme to generate an interpolating surface. The generated surface is guaranteed to go through the curves given by the designer.Based on those methods, prototype software was developed to evaluate them using several examples. The results show that those methods are effective for surface design, but for some cases they fail to generate fair surfaces. It suggests our future work to extend the method and subdivision schemes.

近年来，细分曲面受到了越来越多的关注。然而，与参数曲面的情况相比，细分曲面没有足够的建模工具。在本文中，我们提出了一种利用流行的蒙皮和插值法直接构造细分曲面的方法。蒙皮方法由两种不同的方法组成。一个关注结果曲面的光滑度，另一个关注给定曲线的特征。该方法可以由给定的截面曲线和路径曲线直观地构造出细分曲面，并设计了一种插值法来获取一组不假定具有精确连通性的设计曲线，以方便设计者输入曲线。该方法首先从曲线的空间关系推导出连通性，然后确定曲面的拓扑结构。然后应用组合细分方法生成插补曲面。在这些方法的基础上，开发了原型软件，并用实例对其进行了评价。结果表明，这些方法对于曲面设计是有效的，但在某些情况下它们不能生成光顺的曲面。提出了进一步推广该方法和细分格式的工作方向。

项目成果

鈴木宏正: "自由形状を表現するサブディビジョンサーフェスモデリング"日本機械学会誌. 104・989. 239 (2001)

铃木宏正：“表达自由形状的细分曲面建模”日本机械工程学会杂志 104・989（2001 年）。

鈴木宏正 他: "点群および多面体データに基づく細分割曲面の生成手法"日本機会学論文誌C編. 67・653. 284-289 (2001)

Hiromasa Suzuki 等：“基于点云和多面体数据的细分曲面的生成方法”日本机械工程学报，C 版 67・653（2001 年）。

P.A.C. Varley, H. Suzuki, J. Mitani and R.R. Martin: "Interpretation of Single Sketch Input for Mesh and Solid Models"Int. J. Shape Modeling. 6, No.2. 207-241 (2001)

P.A.C.

Shingo TAKEUCHI, Hiromasa SUZUKI, Takashi KANAI, and Fumihiko KIMURA: "Subdivision Surface Approximation of Data Points and Polygon Models"JSME Int. J, Series C. 45, No.3. 809-814 (2002)

Shingo TAKEUCHI、Hiromasa SUZUKI、Takashi KANAI 和 Fumihiko KIMURA：“数据点和多边形模型的细分曲面近似”JSME Int。

Hiromasa Suzuki: "Subdivision Surface Modeling for Free Form Design (in Japanese)"JSME Magazine. 104, No. 989. 239 (2001)

Hiromasa Suzuki：“自由形式设计的细分曲面建模（日语）”JSME 杂志。