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0 votes
1 answer
118 views

Is this Minkowski Sum result correct?

Is this Minkowski Sum result correct? I expected a filled shape as it happens when the two polygons don't overlap (longer translation vector). Full discussion here: https://github.com/AngusJohnson/...
abenci's user avatar
  • 185
0 votes
1 answer
53 views

Name for a shape consisting of the union of all spheres of a given radius centered at all points in a triangular (or tetrahedral) region?

I'm struggling with finding a name for the following object: Suppose we have a set of points. For example a triangle, including the area inside the triangle, its edges and its vertices. We then ...
iliar's user avatar
  • 123
1 vote
0 answers
77 views

Minkowski sum of disks in 3D

Suppose we have a set of disks in $\Bbb R^3$. These disks are neither parallel nor perpendicular to each other. In general, is it possible to formulate (or write an equation for) the object ...
sqiu47's user avatar
  • 43
3 votes
1 answer
5k views

What's the difference between the Minkowski difference of $A$ and $B$ and the Minkowski sum of $A$ and $-B$?

In the book Computational Geometry, Algorithms and Applications from de Berg, van Kreveld, Overmars and schwarzkopf, I read the following in chapter 13.3 on Minkowski sums: Sometimes $ P \oplus(-R(...
null's user avatar
  • 1,522
3 votes
1 answer
682 views

What is first edge position in the Minkowski sum of two convex polygons in the plane?

I am trying to understand the informal algorithm of the Minkowski sum of two convex polygons in the plane as described here: Then I tried to apply this method of the Minkowski sum in the example ...
Lilás's user avatar
  • 131