{"paper":{"title":"On the mathematic modeling of non-parametric curves based on cubic B\\'ezier curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CV","authors_text":"Choe Chun Hwa, Ha Jong Won, Li Kum Song","submitted_at":"2014-11-24T07:19:17Z","abstract_excerpt":"B\\'ezier splines are widely available in various systems with the curves and surface designs. In general, the B\\'ezier spline can be specified with the B\\'ezier curve segments and a B\\'ezier curve segment can be fitted to any number of control points. The number of control points determines the degree of the B\\'ezier polynomial. This paper presents a method which determines control points for B\\'ezier curves approximating segments of obtained image outline(non-parametric curve) by using the properties of cubic B\\'ezier curves. Proposed method is a technique to determine the control points that"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.6365","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}