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

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

    Abstract

    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)1-17
    Number of pages17
    JournalInternational Journal of Advanced Manufacturing Technology
    DOIs
    StateAccepted/In press - 2016 Dec 22

    Fingerprint

    Splines
    3D printers
    Lithography
    Geometry

    Keywords

    • 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

    Cite this

    Adaptive direct slicing of volumetric attribute data represented by trivariate B-spline functions. / Sasaki, Yuhi; Takezawa, Masahito; Kim, Seungki; Kawaharada, Hiroshi; Maekawa, Takashi.

    In: International Journal of Advanced Manufacturing Technology, 22.12.2016, p. 1-17.

    Research output: Contribution to journalArticle

    Sasaki, Yuhi; Takezawa, Masahito; Kim, Seungki; Kawaharada, Hiroshi; Maekawa, Takashi / Adaptive direct slicing of volumetric attribute data represented by trivariate B-spline functions.

    In: International Journal of Advanced Manufacturing Technology, 22.12.2016, p. 1-17.

    Research output: Contribution to journalArticle

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    doi = "10.1007/s00170-016-9800-0",
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    AU - Maekawa,Takashi

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    AB - 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.

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