This paper proposes new methods to answer approximate nearest neighbor queries on a set of n points in d-dimensional Euclidean space. For any xed constant d, a data structure with...
For two given point sets, we present a very simple (almost trivial) algorithm to translate one set so that the Hausdor distance between the two sets is not larger than a constant ...
We describe and demonstrate an algorithm that takes as input an unorganized set of points fx1; : : : ; xng IR3 on or near an unknown manifold M, and produces as output a simplicia...
Hugues Hoppe, Tony DeRose, Tom Duchamp, John Alan ...
Given a set of nonintersecting polygonal obstacles in the plane, the link distance between two points s and t is the minimum number of edges required to form a polygonal path conn...
Given a point set P R2 , a subset Q P is an -kernel of P if for every slab W containing Q, the (1+)-expansion of W also contains P. We present a data-stream algorithm for mainta...