WebbThis paper considers the following problem: Given a set G of n (possibly intersecting) line segments in the plane, preprocess it so that, given a query ray ρ emanating from a point p, one can quickly compute the intersection point Φ … 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- …

Simplex Range Searching SpringerLink

Webboffs in approximate range searching. First, we introduce the range sketching problem. Next, we present a space-time tradeoff for smooth convex ranges, which general-ize spherical ranges. Finally, we show how to modify the previousdata structure to obtaina … WebbРабота по теме: DeBerg_-_Computational_Geometry_-_Algorithms_and_Applications_2e. Глава: 16 Simplex Range Searching. ВУЗ: ННГУ. earnscleugh station homestead

Simplex Range Searching by kwin khosravi - Prezi

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 Webbspherical range searching in any fixed dimension. For example we derive that, with linear storage, circular range queries in the plane require f2(n1/3) time (mod-U1O a logarithmic factor). A close examination of the lower bound proof for simplex range searching given in [3] shows that al-though some parts can be salvaged, the basic tech- Webb9 maj 2024 · Simplex range searching. Simplex range searching is among the most fundamental and central problems in computational geometry [4, 5,27]. Its importance cannot be overstated: countless geometric... earn scholarships