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Results tagged with convex-polytopes
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user 40780
Convex polytopes are the convex hulls of a finite set of points in Euclidean spaces. They have rich combinatorial, arithmetic, and metrical theory, and are related to toric varieties and to linear programming
3
votes
2
answers
112
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algorithm of polytope
Basically, we have an incremental sets of vertices
$${V_1} \subset {V_2} \subset ...$$
for each of them, we could build a polytope $${P_i} = Conv({V_i})$$
Consequently, we can compute
$${F_i} = …
- 867
0
votes
1
answer
79
views
algorithms and tools available for a particular polytope computation
Let me define each half space i as:
$${H_i}:{c_i}{\bf{x}} \le {b_i}$$
The intersection of all such ${H_i}$ gives a polyhedron (bounded or not). Suppose I am interested in if ${H_i}$ is active (corres …
- 867
1
vote
0
answers
93
views
quick hull algorithm detail
When using quick hull algorithm to find the polytope for half space intersection, we are required to provide an interior point to the solver qhalf.
In other words, providing
$$Ax \le b$$
is not suf …
- 867