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Hermite subdivision schemes for manifold-valued Hermite data.
- Source :
-
Computer Aided Geometric Design . Jun2024, Vol. 111, pN.PAG-N.PAG. 1p. - Publication Year :
- 2024
-
Abstract
- This paper introduces a family of subdivision schemes that generate curves over manifolds from manifold-Hermite data. This data consists of points and tangent directions sampled from a curve over a manifold. Using a manifold-Hermite average based on the De Casteljau algorithm as our main building block, we show how to adapt a geometric approach for curve approximation over manifold-Hermite data. The paper presents the various definitions and provides several analysis methods for characterizing properties of both the average and the resulting subdivision schemes based on it. Demonstrative figures accompany the paper's presentation and analysis. [ABSTRACT FROM AUTHOR]
- Subjects :
- *GEOMETRIC approach
*ALGORITHMS
Subjects
Details
- Language :
- English
- ISSN :
- 01678396
- Volume :
- 111
- Database :
- Academic Search Index
- Journal :
- Computer Aided Geometric Design
- Publication Type :
- Academic Journal
- Accession number :
- 177655174
- Full Text :
- https://doi.org/10.1016/j.cagd.2024.102342