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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\n                    <jats:italic>marching cubes<\/jats:italic>\n                    . We also discuss improvements that decrease processing time and add solid modeling capabilities.\n                  <\/jats:p>","DOI":"10.1145\/37402.37422","type":"journal-article","created":{"date-parts":[[2005,11,16]],"date-time":"2005-11-16T09:47:25Z","timestamp":1132134445000},"page":"163-169","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":8170,"title":["Marching cubes: A high resolution 3D surface construction algorithm"],"prefix":"10.1145","volume":"21","author":[{"given":"William E.","family":"Lorensen","sequence":"first","affiliation":[{"name":"General Electric Company, Schenectady, NY"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Harvey E.","family":"Cline","sequence":"additional","affiliation":[{"name":"General Electric Company, Schenectady, NY"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"320","published-online":{"date-parts":[[1987,8]]},"reference":[{"key":"e_1_2_1_1_2","first-page":"1","volume":"15","author":"Artzy E.","year":"1981","unstructured":"Artzy , E. , Frieder , G. , and Herman , G.T. 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