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Planar Curves based on Explicit Bézier Curvature Functions
| Content Provider | Semantic Scholar |
|---|---|
| Author | Yoshida, Norimasa Saito, Takafumi |
| Copyright Year | 2019 |
| Abstract | For controlling the curvature variation with given G or G Hermite interpolation conditions, we propose intrinsically defined planar curves based on explicit Bézier curvature functions. In the proposed curve, the curvature variation is specified by an explicit Bézier curve. To perform G or G Hermite interpolation, some of control curvatures of the explicit Bézier curve are modified to fit the given conditions. We have implemented the method in C++ and confirmed that curves can be generated in fully interactively. We clarify how the viable regions for G Hermite interpolation changes depending on the degree of explicit polynomial Bézier curves. Applications of the proposed curves include the design of aesthetic curves for aesthetic shape desing as well as 2D illustrations. |
| Starting Page | 77 |
| Ending Page | 87 |
| Page Count | 11 |
| File Format | PDF HTM / HTML |
| DOI | 10.14733/cadconfp.2019.323-327 |
| Volume Number | 17 |
| Alternate Webpage(s) | http://www.cad-journal.net/files/vol_17/CAD_17(1)_2020_77-87.pdf |
| Alternate Webpage(s) | https://doi.org/10.14733/cadconfp.2019.323-327 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
