Add to ORKGInternational audienceWe show that all star-shaped simple polygons can be transformed, in O(n) steps each of which takes O(n) time to compute in an extended real RAM model, into convex polygons by continuous motions during which the edges remain rigid and the polygon remains star-shaped and simple. For each step, the trajectories of the vertices are given explicitly. In particular, the vertices move along straight lines, circular-arcs, or on the curve traced by an intersection point of two circles whose centers move along straight lines
Given a planar polygon (or chain) with a list of edges {e1, e2, e3, en-1, en}, we examine the effect...
We prove that there is a motion from any convex polygon to any convex polygon with the same counterc...
To convexify a polygon is to reconfigure it with respect to a given set of operations until the poly...
The original publication is available at www.springerlink.comInternational audienceThis paper consid...
[[abstract]]We consider the problems of straightening polygonal trees and convexifying polygons by c...
We show that any simple n-vertex polygon can be made convex, without losing internal visibilities be...
We consider the problems of straightening polygonal trees and convexifying polygons by continuous mo...
In this paper, we study movements of simple polygonal chains in 3D. We say that an open, simple poly...
A flipturn is an operation that transforms a nonconvex simple polygon into another simple polygon, b...
AbstractWe prove that there is a motion from any convex polygon to any convex polygon with the same ...
We study the motion of polygonal linkages under the restriction that the angles between adjacent edg...
AbstractGiven a simple polygon in the plane, a flip is defined as follows: consider the convex hull ...
Article dans revue scientifique avec comité de lecture.International audienceThis paper studies move...
. We prove that there is a motion from any convex polygon to any convex polygon with the same counte...
Given a planar polygon (or chain) with a list of edges {e[subscript 1], e[subscript 2], e[subscript ...
Given a planar polygon (or chain) with a list of edges {e1, e2, e3, en-1, en}, we examine the effect...
We prove that there is a motion from any convex polygon to any convex polygon with the same counterc...
To convexify a polygon is to reconfigure it with respect to a given set of operations until the poly...
The original publication is available at www.springerlink.comInternational audienceThis paper consid...
[[abstract]]We consider the problems of straightening polygonal trees and convexifying polygons by c...
We show that any simple n-vertex polygon can be made convex, without losing internal visibilities be...
We consider the problems of straightening polygonal trees and convexifying polygons by continuous mo...
In this paper, we study movements of simple polygonal chains in 3D. We say that an open, simple poly...
A flipturn is an operation that transforms a nonconvex simple polygon into another simple polygon, b...
AbstractWe prove that there is a motion from any convex polygon to any convex polygon with the same ...
We study the motion of polygonal linkages under the restriction that the angles between adjacent edg...
AbstractGiven a simple polygon in the plane, a flip is defined as follows: consider the convex hull ...
Article dans revue scientifique avec comité de lecture.International audienceThis paper studies move...
. We prove that there is a motion from any convex polygon to any convex polygon with the same counte...
Given a planar polygon (or chain) with a list of edges {e[subscript 1], e[subscript 2], e[subscript ...
Given a planar polygon (or chain) with a list of edges {e1, e2, e3, en-1, en}, we examine the effect...
We prove that there is a motion from any convex polygon to any convex polygon with the same counterc...
To convexify a polygon is to reconfigure it with respect to a given set of operations until the poly...