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CCCG
2010
14 years 11 months ago
Finding minimal bases in arbitrary spline spaces
In this work we describe a general algorithm to find a finite-element basis with minimum total support for an arbitrary spline space, given any basis for that same space. The runn...
Ana Paula Malheiro, Jorge Stolfi
CCCG
2010
14 years 11 months ago
Computing the straight skeleton of a monotone polygon in O(n log n) time
The straight skeleton of a simple polygon is defined as the trace of the vertices when the initial polygon is shrunken in self-parallel manner [2]. In this paper, we propose a sim...
Gautam K. Das, Asish Mukhopadhyay, Subhas C. Nandy...
CCCG
2010
14 years 11 months ago
Sweeping minimum perimeter enclosing parallelograms: Optimal crumb cleanup
We examine the problem of pushing all the points of a planar region into one point using parallel sweeps of an infinite line, minimizing the sum of the lengths of the sweep vector...
Yonit Bousany, Mary Leah Karker, Joseph O'Rourke, ...
CCCG
2010
14 years 11 months ago
On the perimeter of fat objects
We show that the size of the perimeter of (, )-covered objects is a linear function of the diameter. Specifically, for an (, )-covered object O, per(O) c diam(O) sin2 , for a pos...
Prosenjit Bose, Otfried Cheong, Vida Dujmovic
CCCG
2010
14 years 11 months ago
Cluster connecting problem inside a polygon
The cluster connecting problem inside a simple polygon is introduced in this paper. The problem is shown to be NP-complete. A log n-factor approximation algorithm is proposed.
Sanjib Sadhu, Arijit Bishnu, Subhas C. Nandy, Part...