Offsets and front tire tracks to projective hedgehogs
There are some known properties on curves of constant width and Zindler curves and their relationship with offsets and front tire-track curves in convex geometry. In this work, a generalization of all these concepts and results to hedgehogs is presented. Discontinuity issues coming from the common p...
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2022 |
| País: | España |
| Institución: | Basque Center for Applied Mathematics (BCAM) |
| Repositorio: | BIRD. BCAM's Institutional Repository Data |
| OAI Identifier: | oai:bird.bcamath.org:20.500.11824/1498 |
| Acceso en línea: | http://hdl.handle.net/20.500.11824/1498 https://doi.org/10.1016/j.cagd.2022.102135 |
| Access Level: | acceso embargado |
| Palabra clave: | Hedgehogs Offset curves Support function Constant width curves Bicycle tire-track curves Zindler curves |
| Sumario: | There are some known properties on curves of constant width and Zindler curves and their relationship with offsets and front tire-track curves in convex geometry. In this work, a generalization of all these concepts and results to hedgehogs is presented. Discontinuity issues coming from the common parametric definition of offsets and front track curves are solved with parameterizations by a support function. Finally, it is seen that there is a one-to-one correspondence between constant width hedgehogs of constant width and generalized Zindler curves. |
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