1. Discrete-Euclidean operations
- Author
-
Largeteau-Skapin, Gaëlle and Andres, Eric
- Subjects
- *
DISCRETE geometry , *MATHEMATICAL models , *ROTATIONAL motion , *MATHEMATICAL analysis , *ERRORS , *NUMERICAL analysis - Abstract
Abstract: In this paper, we study the relationship between Euclidean and discrete space. We study discrete operations based on Euclidean functions: discrete smooth scaling and discrete-continuous rotation. Conversely, we study Euclidean operations based on discrete functions: the discrete based simplification, the Euclidean-discrete union and the Euclidean-discrete co-refinement. These operations operate partly in discrete, and partly in continuous space. Especially for the discrete smooth scaling operation, we provide error bounds when such different operations are chained. [Copyright &y& Elsevier]
- Published
- 2009
- Full Text
- View/download PDF