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Marching cubes: A high resolution 3D surface construction algorithm (1987)

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by William E. Lorensen , Harvey E. Cline
Venue:COMPUTER GRAPHICS
Citations:2693 - 4 self
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BibTeX

@ARTICLE{Lorensen87marchingcubes:,
    author = {William E. Lorensen and Harvey E. Cline},
    title = {Marching cubes: A high resolution 3D surface construction algorithm},
    journal = {COMPUTER GRAPHICS},
    year = {1987},
    volume = {21},
    number = {4},
    pages = {163--169}
}

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Abstract

We present a new algorithm, called marching cubes, that creates triangle models of constant density surfaces from 3D medical data. Using a divide-and-conquer approach to generate inter-slice connectivity, we create a case table that defines triangle topology. The algorithm processes the 3D medical data in scan-line order and calculates triangle vertices using linear interpolation. We find the gradient of the original data, normalize it, and use it as a basis for shading the models. The detail in images produced from the generated surface models is the result of maintaining the inter-slice connectivity, surface data, and gradient information present in the original 3D data. Results from computed tomography (CT), magnetic resonance (MR), and single-photon emission computed tomography (SPECT) illustrate the quality and functionality of marching cubes. We also discuss improvements that decrease processing time and add solid modeling capabilities.

Keyphrases

high resolution    surface construction algorithm    inter-slice connectivity    medical data    case table    linear interpolation    scan-line order    triangle model    triangle topology    marching cube    generated surface model    solid modeling capability    constant density surface    surface data    processing time    magnetic resonance    original data    computed tomography    gradient information present    single-photon emission    divide-and-conquer approach    new algorithm   

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