OTHER
Exact minkowski sums and applications
Eyal Flato, Efi Fogel, Dan Halperin, Eran Leiserowitz
- Year
- 2002
- Citations
- 3
Abstract
(MATH) The Minkowski sum of two sets P and Q in $\realsd is the set (p+q \mid p Ε P, q Ε Q). Minkowski sums are useful in robot motion planning, computer-aided design and manufacturing (CAD/CAM) and many other areas. In this video we present a software package implemented at Tel Aviv University for the exact and efficient construction of Minkowski sums of planar sets. We also explain and demonstrate how Minkowski sums are used in various applications.
Keywords
Minkowski spaceMinkowski additionMinkowski's theoremSet (abstract data type)PlanarMathematicsComputer scienceDiscrete mathematicsPure mathematicsAlgebra over a field
Related papers
OTHER
📊 26,957 cites
Statistical Learning Theory
Yuhai Wu, Vladimir Vapnik
1999
PERCEPTION
📊 22,245 cites
Artificial intelligence: a modern approach
1995
OTHER
Open access📊 20,501 cites
Fractional Differential Equations
Igor Podlubný
2025
OTHER
📊 18,993 cites
Applied Nonlinear Control
Jean-Jacques Slotine, Weiping Li
1991