تقرير
PENCILS AND SET OPERATORS IN 3D CGA ; FAISCEAUX ET OPÉRATEURS ENSEMBLISTES DANS CGA 3D
| العنوان: | PENCILS AND SET OPERATORS IN 3D CGA ; FAISCEAUX ET OPÉRATEURS ENSEMBLISTES DANS CGA 3D |
|---|---|
| المؤلفون: | Chomicki, Clément, Breuils, Stéphane, Biri, Venceslas, Nozick, Vincent |
| المساهمون: | Laboratoire d'Informatique Gaspard-Monge (LIGM), École des Ponts ParisTech (ENPC)-Centre National de la Recherche Scientifique (CNRS)-Université Gustave Eiffel, Laboratoire de Mathématiques (LAMA), Université Savoie Mont Blanc (USMB Université de Savoie Université de Chambéry )-Centre National de la Recherche Scientifique (CNRS) |
| المصدر: | https://hal.science/hal-04569529Test ; 2024. |
| بيانات النشر: | HAL CCSD |
| سنة النشر: | 2024 |
| المجموعة: | Université Savoie Mont Blanc: HAL |
| مصطلحات موضوعية: | Geometric Algebra, Conformal Mapping, Clifford Algebra, Conformal Geometric Algebra (CGA), Pencil, Skew Lines, [MATH]Mathematics [math], [INFO]Computer Science [cs] |
| الوصف: | Geometric Algebra can be considered as a language that unifies mathematics, physics and computer sciences etc.Among other, CGA is of special interest for its powerful transformations and its ability to represent any hypersphere or hyperplane. Moreover, CGA is an algebra capable of representing pencils of spheres. This paper presents a reinterpretation of every objects of 3D CGA as pencils of spheres and introduces set operators on its elements (i.e. union, intersection, complement, etc).As an application, these operators are used to find the smallest tangent sphere of two skew lines. |
| نوع الوثيقة: | report |
| اللغة: | English |
| العلاقة: | hal-04569529; https://hal.science/hal-04569529Test; https://hal.science/hal-04569529/documentTest; https://hal.science/hal-04569529/file/pencils_of_cga-17.pdfTest |
| الإتاحة: | https://hal.science/hal-04569529Test https://hal.science/hal-04569529/documentTest https://hal.science/hal-04569529/file/pencils_of_cga-17.pdfTest |
| حقوق: | info:eu-repo/semantics/OpenAccess |
| رقم الانضمام: | edsbas.D81C44D1 |
| قاعدة البيانات: | BASE |
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