{"doi":"10.1145/37402.37422","title":"Marching cubes: A high resolution 3D surface construction algorithm","abstract":"<jats:p>\n            We present a new algorithm, called\n            <jats:italic>marching cubes</jats:italic>\n            , 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\n            <jats:italic>marching cubes</jats:italic>\n            . We also discuss improvements that decrease processing time and add solid modeling capabilities.\n          </jats:p>","journal":"ACM SIGGRAPH Computer Graphics","year":1987,"id":9834,"datarank":28.340374462227516,"base_score":9.045937315684574,"endowment":9.045937315684574,"self_citation_contribution":1.3568905973526864,"citation_network_contribution":26.98348386487483,"self_endowment_contribution":1.3568905973526864,"citer_contribution":26.98348386487483,"corpus_percentile":98.3,"corpus_rank":1210,"citation_count":8483,"citer_count":198,"citers_with_citation_signal":198,"citers_with_endowment":198,"datacite_reuse_total":0,"is_dataset":false,"is_oa":false,"file_count":0,"downloads":0,"has_version_chain":false,"published_date":"1987-08-01","authors":[{"id":84502,"name":"Harvey E. Cline","orcid":null,"position":1,"is_corresponding":false},{"id":84503,"name":"H. E. Cline","orcid":null,"position":2,"is_corresponding":false},{"id":84501,"name":"William E. Lorensen","orcid":null,"position":0,"is_corresponding":true}],"reference_count":32,"raw_metadata":{"citation_network_status":"fetched"},"created_at":"2026-03-01T18:20:47.508186Z","pmid":null,"pmcid":null,"fwci":null,"citation_percentile":null,"influential_citations":0,"oa_status":null,"license":null,"views":0,"total_file_size_bytes":0,"version_count":0,"clinical_trials":[],"software_tools":[],"db_accessions":[],"linked_datasets":[],"topics":[]}