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Interpolation of the Irregular Curve Network of Ship Hull Form Using Subdivision Surfaces
| Content Provider | Semantic Scholar |
|---|---|
| Author | Lee, Kyu-Yeul Cho, Doo-Yeoun Kim, Tae-Wan |
| Abstract | One of common problems in free-form surface modeling is how to smoothly interpolate a given curve network. In ship design, ship hullform is usually designed with a curve network, and hullform surfaces are generated by filling in (or interpolating) the curve network. Tensor-product surfaces such as NURBS and Bézier patches are typical representations to this interpolating problem. However, tensor-product surface can represent the surfaces of irregular topological type by only partitioning the model into a collection of individual rectangular patches or using degenerated patches. Then, adjacent patches should be explicitly stitched together and modified to meet complicated geometric continuity constraints. Subdivision surface offers an alternative. They are capable of modeling everywhere-smooth surfaces of arbitrary topological type using a simple recursive subdivision rule as a whole surface. In this study, we suggest a method of automatically generating hullform surface by interpolating the given irregular curve network using Catmull-Clark subdivision surfaces. Suggested method has an advantage over previous works in that it does not require any additional data except the given curve network. There are three steps in our method; generating initial meshes automatically, modifying the initial meshes for curve interpolation, and recursively subdividing the modified meshes for smooth hullform subdivision surfaces. In this paper, we concentrate on describing the first step, automatic generation of initial meshes. In addition, we also show several examples of resulting initial meshes from curve network data of actual ship hullform to justify the proposed method. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.cadanda.com/V1Nos1to4_03.pdf |
| Alternate Webpage(s) | https://pdfs.semanticscholar.org/e241/c39e38813358cdad573b806ca63722bba959.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Abnormal degeneration Bézier curve Catmull–Clark subdivision surface Finite subdivision rule Glossary of computer graphics Interpolation Imputation Technique Non-uniform rational B-spline Recursion Scott continuity Smoothing |
| Content Type | Text |
| Resource Type | Article |