A method of equi‐valued surface construction from volume data on a face‐centered cubic lattice

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<jats:title>Abstract</jats:title><jats:p>In this paper, the authors propose a method of constructing the equi‐valued surface from quantized data based on the face‐centered cubic lattice. Hitherto, the quantization of the three‐dimensional scalar field has been generally based on the simple cubic lattice, and the technique called the marching cubes method is widely used in constructing equi‐valued surfaces. It is known theoretically, on the other hand, that lattice quantization of the three‐dimensional scalar field is best based on the face‐centered cubic lattice. The proposed method provides a polyhedron approximation of the equi‐valued surface by linear interpolation from the quantized data of the three‐dimensional scalar field based on the face‐centered cubic lattice. An experiment on equi‐valued surface construction was performed for the scalar field generated algebraically by using a meta‐ball. The equi‐valued surface obtained by the proposed method is compared to the equi‐valued surfaces obtained by the marching cubes method and other related cube decomposition methods. The effectiveness and range of application of the proposed method are demonstrated. © 2003 Wiley Periodicals, Inc. Electron Comm Jpn Pt 3, 86(12): 1–13, 2003; Published online in Wiley InterScience (<jats:ext-link xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="http://www.interscience.wiley.com">www.interscience.wiley.com</jats:ext-link>). DOI 10.1002/ecjc.10095</jats:p>

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