Webb5 Orthogonal Range Searching--- Querying a Database 5.1 1-Dimensional Range Searching 5.2 Kd-Trees 5.3 Range Trees 5.4 Higher-Dimensional Range Trees 5.5 General Sets of Points 5.6* Fractional Cascading 5.7 Notes and Comments 5.8 Exercises 6 Point Location--- Knowing Where You Are WebbWe present a new technique for half-space and simplex range query using &Ogr; (n) space and &Ogr; (na) query time, where a d (d-1)/d (d-1) + 1 + γ for all dimensions d ≥ 2 and γ > 0. …

Simplex Range Searching

WebbClose. The Infona portal uses cookies, i.e. strings of text saved by a browser on the user's device. The portal can access those files and use them to remember the user's data, such as their chosen settings (screen view, interface language, etc.), or their login data. WebbWe establish two new lower bounds for the halfspace range searching problem: Given a set of n points in R d , where each point is associated with a weight from a commutative semigroup, compute the semigroup sum of the weights of the points lying within any query halfspace. Letting m denote the space requirements, we prove a lower bound for gen- … opentoonz timeline getting mixed up glitch

Optimal Partition Trees - University of Illinois Urbana-Champaign

WebbIn semialgebraic range searching, the queries are semialgebraic sets. Before the recent łpolynomial method revolutionž, the tools available to deal with semialgebraic range searching were limited, at least compared to simplex queries. One way to deal with … WebbThis approach also yields fast procedures for finding the first k objects hit by a query ray, for searching nearest and farthest neighbors, and for the hidden surface removal. All the data structures can be maintained dynamically in amortized time O ( m 1 + ε / n) per insert/delete operation. Keywords ray shooting arrangements convex polytope open to others synonym