Adaptive direct slicing of volumetric attribute data represented by trivariate B-spline functions

Yuhi Sasaki, Masahito Takezawa, Seungki Kim, Hiroshi Kawaharada, Takashi Maekawa*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

24 Citations (Scopus)


We introduce a framework for modeling of heterogeneous objects in terms of trivariate B-spline functions and a method for slicing them directly for additive manufacturing. We first fit volumetric attribute data associated with the geometry in terms of trivariate B-spline functions under the assumption that the geometric volume is already defined by the trivariate B-spline functions. Then, the B-spline volume and the associated attribute data are directly sliced without converting them to stereo-lithography format, resulting in a tool path with fewer errors. Furthermore, adaptive ray shooting is introduced in the slicing plane so that the zigzag tool path passes through all the tangential intersection points of the heterogeneous objects to represent all the feature points in the fabricated model. Complex examples illustrate the effectiveness of our method.

Original languageEnglish
Pages (from-to)1791-1807
Number of pages17
JournalInternational Journal of Advanced Manufacturing Technology
Issue number5-8
Publication statusPublished - 2017 Jul 1
Externally publishedYes


  • Additive manufacturing
  • Direct slicing
  • Heterogeneous object
  • Trivariate B-spline function

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Software
  • Mechanical Engineering
  • Computer Science Applications
  • Industrial and Manufacturing Engineering


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