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Existing reconstruction methods mainly rely on the proficiency of digital modelers who manually modify the surface shape to approximate the scanned data. Apart from manual modifications, the reconstructed surfaces cannot well reflect the design intent of designers since the feature curves of clay models have not been preserved accurately. In this paper, we propose a partial differential equation (PDE) based surface reconstruction method to analytically generate optimal surfaces with <jats:italic>C<\/jats:italic><jats:sup><jats:italic>n<\/jats:italic><\/jats:sup> continuity under the constraint of the feature curves. The proposed method accurately preserves automotive feature curves and achieves automatic reconstruction of Class-A surfaces without time-consuming manual work. The effectiveness of the proposed method is demonstrated by a number of experiments that reconstruct main parts of automotive exteriors.<\/jats:p>","DOI":"10.1007\/s11042-022-13297-x","type":"journal-article","created":{"date-parts":[[2022,6,14]],"date-time":"2022-06-14T21:02:51Z","timestamp":1655240571000},"page":"1185-1202","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["PDE-based surface reconstruction in automotive styling design"],"prefix":"10.1007","volume":"82","author":[{"given":"Shuangbu","family":"Wang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8139-0554","authenticated-orcid":false,"given":"Yu","family":"Xia","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lihua","family":"You","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jianjun","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2022,6,14]]},"reference":[{"key":"13297_CR1","doi-asserted-by":"crossref","unstructured":"Aspert N, Santa-Cruz D, Ebrahimi T (2002) Mesh: Measuring errors between surfaces using the hausdorff distance. 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