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Unfortunately most practitioners still use linear interpolation (or other low-order schemes) on tetrahedra, which can produce undesirable visual artifacts, e.g., faceting and shading artifacts, that necessitate increasing the simulation's spatial resolution and, unfortunately, cost.<\/jats:p>\n          <jats:p>\n            In this paper, we propose\n            <jats:italic toggle=\"yes\">Phong Deformation<\/jats:italic>\n            , a simple, robust and practical vertex-based quadratic interpolation scheme that, while still only\n            <jats:italic toggle=\"yes\">C<\/jats:italic>\n            <jats:sup>0<\/jats:sup>\n            continuous like linear interpolation, greatly reduces visual artifacts for embedded geometry. The method first averages element-based linear deformation models to vertices, then barycentrically interpolates the vertex models while also averaging with the traditional linear interpolation model. The method is a fast, robust, and easily implemented replacement for linear interpolation that produces visually better results for embedded deformation with irregular tetrahedral meshes.\n          <\/jats:p>","DOI":"10.1145\/3386569.3392371","type":"journal-article","created":{"date-parts":[[2020,8,12]],"date-time":"2020-08-12T11:44:27Z","timestamp":1597232667000},"update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":8,"title":["Phong deformation"],"prefix":"10.1145","volume":"39","author":[{"given":"Doug L.","family":"James","sequence":"first","affiliation":[{"name":"Stanford University"}]}],"member":"320","published-online":{"date-parts":[[2020,8,12]]},"reference":[{"key":"e_1_2_2_1_1","volume-title":"A Discrete C1 Interpolant for Tetrahedral Data. The Rocky Mountain journal of mathematics","author":"Alfeld Peter","year":"1984","unstructured":"Peter Alfeld. 1984. A Discrete C1 Interpolant for Tetrahedral Data. 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