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Chapter and Conference Paper
Polygon Simplification by Minimizing Convex Corners
Let P be a polygon with \(r>0\) reflex vertices and possibly with holes. A subsuming polygon of P is a polygon ...
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Chapter and Conference Paper
Drawing Graphs Using Body Gestures
We introduce a new gesture-based user interface for drawing graphs that recognizes specific body gestures using the Microsoft Kinect sensor. Our preliminary user study demonstrates the potential for using gest...
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Chapter and Conference Paper
Local Routing in Convex Subdivisions
In various wireless networking settings, node locations determine a network’s topology, allowing the network to be modelled by a geometric graph drawn in the plane. Without any additional information, local ge...
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Chapter and Conference Paper
Realization of Simply Connected Polygonal Linkages and Recognition of Unit Disk Contact Trees
We wish to decide whether a simply connected flexible polygonal structure can be realized in Euclidean space. Two models are considered: polygonal linkages (body-and-joint framework) and contact graphs of unit...
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Chapter and Conference Paper
Computing Partitions of Rectilinear Polygons with Minimum Stabbing Number
The stabbing number of a partition of a rectilinear polygon P into rectangles is the maximum number of rectangles stabbed by any axis-parallel line segment contained in P. We consider the problem of finding a rec...
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Chapter and Conference Paper
Balancing Traffic Load Using One-Turn Rectilinear Routing
We consider the problem of load-balanced routing, where a dense network is modelled by a continuous square region and origin and destination nodes correspond to pairs of points in that region. The objective is...