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CCCG
2007
13 years 8 months ago
Optimal Point Set Partitioning using Rigid Motion Star Placement
We consider the problem of determining the placement of a star R on a set P of n points in the plane such that a given objective function is maximized. A star R is a set of m rays...
Prosenjit Bose, Jason Morrison
CCCG
2007
13 years 8 months ago
Approximate Shortest Descent Path on a Terrain
A path from a point s to a point t on the surface of a polyhedral terrain is said to be descent if for every pair of points p = (x(p), y(p), z(p)) and q = (x(q), y(q), z(q)) on th...
Sasanka Roy, Sachin Lodha, Sandip Das, Anil Mahesh...
CCCG
2007
13 years 8 months ago
Approximations of Geodesic Distances for Incomplete Triangular Manifolds
We present a heuristic algorithm to compute approximate geodesic distances on a triangular manifold S containing n vertices with partially missing data. The proposed method comput...
Zouhour Ben Azouz, Prosenjit Bose, Chang Shu, Stef...
CCCG
2007
13 years 8 months ago
On a Geometric Approach to the Segment Sum Problem and Its Generalization
Given a sequence of n real numbers a1, a2, a3, . . . , an, the maximum segment sum problem is that of determining indices i and j (1 ≤ i ≤ j ≤ n) such that the sum s(i, j) =...
Asish Mukhopadhyay, Eugene Greene
CCCG
2007
13 years 8 months ago
A Note on Drawing Direction-constrained Paths in 3D
We study the problem of drawing a graph-theoretic path where each edge is assigned an axis-parallel direction in 3D. Di Battista et al.[3] gives a combinatorial characterization f...
Ethan Kim, Sue Whitesides, Giuseppe Liotta