منابع مشابه
Geodesic-Preserving Polygon Simplification
Polygons are a paramount data structure in computational geometry. While the complexity of many algorithms on simple polygons or polygons with holes depends on the size of the input polygon, the intrinsic complexity of the problems these algorithms solve is often related to the reflex vertices of the polygon. In this paper, we give an easy-todescribe linear-time method to replace an input polyg...
متن کاملPolygon 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 P ′ such that P ⊆ P ′, each connected component R′ of P ′ subsumes a distinct component R of P , i.e., R ⊆ R′, and the reflex corners ofR coincide with the reflex corners ofR′. A subsuming chain of P ′ is a minimal path on the boundary of P ′ whose two end edges coincide with two edges o...
متن کاملConstrained Geodesic Centers of a Simple Polygon
For any two points in a simple polygon P , the geodesic distance between them is the length of the shortest path contained in P that connects them. A geodesic center of a set S of sites (points) with respect to P is a point in P that minimizes the geodesic distance to its farthest site. In many realistic facility location problems, however, the facilities are constrained to lie in feasible regi...
متن کاملDirection-Preserving Trajectory Simplification
Trajectories of moving objects are collected in many applications. Raw trajectory data is typically very large, and has to be simplified before use. In this paper, we introduce the notion of directionpreserving trajectory simplification, and show both analytically and empirically that it can support a broader range of applications than traditional position-preserving trajectory simplification. ...
متن کاملDynamic Geodesic Nearest Neighbor Searching in a Simple Polygon
We present an efficient dynamic data structure that supports geodesic nearest neighbor queries for a set of point sites S in a static simple polygon P . Our data structure allows us to insert a new site in S, delete a site from S, and ask for the site in S closest to an arbitrary query point q ∈ P . All distances are measured using the geodesic distance, that is, the length of the shortest path...
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ژورنال
عنوان ژورنال: International Journal of Computational Geometry & Applications
سال: 2014
ISSN: 0218-1959,1793-6357
DOI: 10.1142/s0218195914600097