Titel
t-Design Curves and Mobile Sampling on the Sphere
Autor*in
Abstract
In analogy to classical spherical t-design points, we introduce the concept of t-design curves on the sphere. This means that the line integral along a t-design curve integrates polynomials of degree t exactly. For low degrees, we construct explicit examples. We also derive lower asymptotic bounds on the lengths of t-design curves. Our main results prove the existence of asymptotically optimal t-design curves in the Euclidean 2-sphere and the existence of t-design curves in the d-sphere.
Stichwort
Computational MathematicsDiscrete Mathematics and CombinatoricsGeometry and TopologyMathematical PhysicsStatistics and ProbabilityAlgebra and Number TheoryTheoretical Computer ScienceAnalysis
Objekt-Typ
Sprache
Englisch [eng]
Persistent identifier
phaidra.univie.ac.at/o:2044436
Erschienen in
Titel
Forum of Mathematics, Sigma
Band
11
ISSN
2050-5094
Erscheinungsdatum
2023
Publication
Cambridge University Press (CUP)
Fördergeber
Erscheinungsdatum
2023
Zugänglichkeit
Rechte
Rechteangabe
© The Author(s), 2023
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