Volume Interior Parameterization for Automated Unified Machining Process of Freeform Surfaces

  • Seung Ryong HanEmail author
  • Daniel C. H. Yang
Part of the Advances in Intelligent and Soft Computing book series (AINSC, volume 133)


Conventional machining process of freeform surfaces usually employs three-stage machining process of roughing, semi-finishing and finishing. This multi-stage machining process has some weaknesses such as the repetition of process planning activities or heavy cutting load changes. But they can be overcome by gradually machining a stock along morphing surfaces. The generation of the morphing surfaces transforming smoothly inside the to-be-cut volume is essential for the new machining process and it can be achieved by the volume interior parameterization. This paper introduces five volume interior parameterization methods: TFI method, Laplace method, Poisson method using exponential control functions, Poisson method using arc-length based control map and weighted parametric redistribution method. Algorithms for these methods are presented, and their respective computer simulations packages are generated. Numerical examples show that the algorithms can adequately generate intermediate machining surfaces inside any arbitrary shape volume.


Volume interior parameterization Machining Free-form surface Morphing Grid generation 


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Copyright information

© Springer-Verlag GmbH Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Department of Mechanical and Aerospace EngineeringUniversity of CaliforniaLos AngelesU.S.A.

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