Sciweavers

COMPGEOM
2000
ACM
14 years 3 months ago
Multivariate regression depth
The regression depth of a hyperplane with respect to a set of n points in Rd is the minimum number of points the hyperplane must pass through in a rotation to vertical. We general...
Marshall W. Bern, David Eppstein
COMPGEOM
2000
ACM
14 years 3 months ago
Computing approximate shortest paths on convex polytopes
The algorithms for computing a shortest path on a polyhedral surface are slow, complicated, and numerically unstable. We have developed and implemented a robust and efficient algo...
Pankaj K. Agarwal, Sariel Har-Peled, Meetesh Karia
JCDCG
2004
Springer
14 years 4 months ago
Crossing Stars in Topological Graphs
Gábor Tardos, Géza Tóth
JCDCG
2004
Springer
14 years 4 months ago
Single-Vertex Origami and Spherical Expansive Motions
We prove that all single-vertex origami shapes are reachable from the open flat state via simple, non-crossing motions. We also consider conical paper, where the total sum of the ...
Ileana Streinu, Walter Whiteley
JCDCG
2004
Springer
14 years 4 months ago
Grid Vertex-Unfolding Orthostacks
An algorithm was presented in [1] for unfolding orthostacks into one piece without overlap by using arbitrary cuts along the surface. It was conjectured that orthostacks could be ...
Erik D. Demaine, John Iacono, Stefan Langerman
JCDCG
2004
Springer
14 years 4 months ago
Farthest-Point Queries with Geometric and Combinatorial Constraints
In this paper we discuss farthest-point problems in which a set or sequence S of n points in the plane is given in advance and can be preprocessed to answer various queries efficie...
Ovidiu Daescu, Ningfang Mi, Chan-Su Shin, Alexande...
JCDCG
2004
Springer
14 years 4 months ago
The Minimum Manhattan Network Problem: A Fast Factor-3 Approximation
Marc Benkert, Alexander Wolff, Florian Widmann
JCDCG
2004
Springer
14 years 4 months ago
The Geometry of Musical Rhythm
Abstract. Musical rhythm is considered from the point of view of geometry. The interaction between the two fields yields new insights into rhythm and music theory, as well as new ...
Godfried T. Toussaint