AbstractA path from s to t on a polyhedral terrain is descending if the height of a point p never increases while we move p along the path from s to t. No efficient algorithm is known to find a shortest descending path from s to t in a polyhedral terrain. We give some properties of such paths. In the case where the face sequence is specified, we show that the shortest descending path is unique, and use convex optimization to give an ϵ-approximation algorithm that computes the path in O(n3.5log(1ϵ)) time
We present an approximation algorithm for the shortest descending path problem. Given a source s and...
AbstractGiven a polyhedral terrain with n vertices, the shortest monotone descent path problem deals...
AbstractWe study the problem of finding a shortest descending path (SDP) between a pair of points, c...
A path from s to t on a polyhedral terrain is descending if the height of a point p never increases ...
A path from s to t on a polyhedral terrain is de-scending if the height of a point p never increases...
A path from a point s to a point t on the surface of a polyhedral terrain is said to be descent if f...
AbstractA path from s to t on a polyhedral terrain is descending if the height of a point p never in...
A path from s to t on a polyhedral terrain is descending if the height of a point p never increases ...
AbstractWe study the problem of finding a shortest descending path (SDP) between a pair of points, c...
AbstractThe shortest paths on the surface of a convex polyhedron can be grouped into equivalence cla...
We present an approximate algorithm for the shortest descending path (SDP) problem. Given a source s...
A path froms to t on a polyhedral terrain is descending if the height of a point p never increases w...
The shortest paths on the surface of a convex polyhedron can be grouped into equivalence classes acc...
AbstractA path from s to t on a polyhedral terrain is descending if the height of a point p never in...
In this paper, we propose an algorithm for computing a shortest descending path from a start point s...
We present an approximation algorithm for the shortest descending path problem. Given a source s and...
AbstractGiven a polyhedral terrain with n vertices, the shortest monotone descent path problem deals...
AbstractWe study the problem of finding a shortest descending path (SDP) between a pair of points, c...
A path from s to t on a polyhedral terrain is descending if the height of a point p never increases ...
A path from s to t on a polyhedral terrain is de-scending if the height of a point p never increases...
A path from a point s to a point t on the surface of a polyhedral terrain is said to be descent if f...
AbstractA path from s to t on a polyhedral terrain is descending if the height of a point p never in...
A path from s to t on a polyhedral terrain is descending if the height of a point p never increases ...
AbstractWe study the problem of finding a shortest descending path (SDP) between a pair of points, c...
AbstractThe shortest paths on the surface of a convex polyhedron can be grouped into equivalence cla...
We present an approximate algorithm for the shortest descending path (SDP) problem. Given a source s...
A path froms to t on a polyhedral terrain is descending if the height of a point p never increases w...
The shortest paths on the surface of a convex polyhedron can be grouped into equivalence classes acc...
AbstractA path from s to t on a polyhedral terrain is descending if the height of a point p never in...
In this paper, we propose an algorithm for computing a shortest descending path from a start point s...
We present an approximation algorithm for the shortest descending path problem. Given a source s and...
AbstractGiven a polyhedral terrain with n vertices, the shortest monotone descent path problem deals...
AbstractWe study the problem of finding a shortest descending path (SDP) between a pair of points, c...