On Constructing Approximate Convex Hull
نویسندگان
چکیده
منابع مشابه
On Constructing Approximate Convex Hull
The algorithms of convex hull have been extensively studied in literature, principally because of their wide range of applications in different areas. This article presents an efficient algorithm to construct approximate convex hull from a set of n points in the plane in O(n+ k) time, where k is the approximation error control parameter. The proposed algorithm is suitable for applications prefe...
متن کاملApproximate Convex Hull of Data Streams
Given a finite set of points P ⊆ R, we would like to find a small subset S ⊆ P such that the convex hull of S approximately contains P . More formally, every point in P is within distance from the convex hull of S. Such a subset S is called an -hull. Computing an -hull is an important problem in computational geometry, machine learning, and approximation algorithms. In many real world applicati...
متن کاملSequential and Parallel Approximate Convex Hull Algorithms
This paper defines the area measure of the quality of approximate convex hulls and proposes two new approximate convex hull algorithms. The first one is superior to known techniques under the area measure and comparable under the distance measure and time complexity. The second algorithm is superior to all known algorithms in both area and distance measures (including the first algorithm) while...
متن کاملApproximate convex hull of affine iterated function system attractors
In this paper, we present an algorithm to construct an approximate convex hull of the attractors of an affine iterated function system (IFS). We construct a sequence of convex hull approximations for any required precision using the self-similarity property of the attractor in order to optimize calculations. Due to the affine properties of IFS transformations, the number of points considered in...
متن کاملComputing the Approximate Convex Hull in High Dimensions
In this paper, an effective method with time complexity of O(K3/2N2 log K ǫ0 ) is introduced to find an approximation of the convex hull for N points in dimension n, where K is close to the number of vertices of the approximation. Since the time complexity is independent of dimension, this method is highly suitable for the data in high dimensions. Utilizing a greedy approach, the proposed metho...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: American Journal of Computational Mathematics
سال: 2013
ISSN: 2161-1203,2161-1211
DOI: 10.4236/ajcm.2013.31a003