4-D Visualization of Minkowski Quaternionic Point Set Operations
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866914425819103232 |
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| author | Řada, Jakub Velichová, Daniela Zamboj, Michal |
| author_facet | Řada, Jakub Velichová, Daniela Zamboj, Michal |
| contents | The contribution emphasizes the geometric modeling point of view on Minkowski point set operations. In this paper, the Minkowski product is specified as the quaternionic product. Selected point sets are visualized using double orthogonal projection and perspective projection from four-dimensional to three-dimensional space. In particular, we demonstrate the generation of sets containing circles (Clifford torus, 3-sphere), lines (quadratic cone), or both. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_25759 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | 4-D Visualization of Minkowski Quaternionic Point Set Operations Řada, Jakub Velichová, Daniela Zamboj, Michal General Mathematics 51M15, 51M04, 00A05 The contribution emphasizes the geometric modeling point of view on Minkowski point set operations. In this paper, the Minkowski product is specified as the quaternionic product. Selected point sets are visualized using double orthogonal projection and perspective projection from four-dimensional to three-dimensional space. In particular, we demonstrate the generation of sets containing circles (Clifford torus, 3-sphere), lines (quadratic cone), or both. |
| title | 4-D Visualization of Minkowski Quaternionic Point Set Operations |
| topic | General Mathematics 51M15, 51M04, 00A05 |
| url | https://arxiv.org/abs/2603.25759 |