Statements (25)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:application |
path planning
image processing collision detection |
| gptkbp:appliesTo |
convex sets
polytopes subsets of Euclidean space |
| gptkbp:defines |
The Minkowski sum of two sets A and B in a vector space is the set formed by adding each element of A to each element of B.
|
| gptkbp:field |
gptkb:geometry
gptkb:mathematics |
| https://www.w3.org/2000/01/rdf-schema#label |
Minkowski sum
|
| gptkbp:namedAfter |
gptkb:Hermann_Minkowski
|
| gptkbp:notation |
A + B
|
| gptkbp:property |
associative
commutative distributive over scalar multiplication |
| gptkbp:relatedTo |
gptkb:Minkowski_difference
vector addition convex hull support function |
| gptkbp:usedIn |
gptkb:geometry
robotics mathematical morphology |
| gptkbp:bfsParent |
gptkb:Polygon
|
| gptkbp:bfsLayer |
5
|