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Optimal output-sensitive convex hull algorithms in two and three dimensions

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TLDR
This work presents simple output-sensitive algorithms that construct the convex hull of a set of n points in two or three dimensions in worst-case optimalO (n logh) time and O (n) space, whereh denotes the number of vertices of the conveX hull.
Abstract
We present simple output-sensitive algorithms that construct the convex hull of a set ofn points in two or three dimensions in worst-case optimalO (n logh) time andO (n) space, whereh denotes the number of vertices of the convex hull.

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The Level Ancestor Problem Simplified

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References
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Computational geometry. an introduction

TL;DR: This book offers a coherent treatment, at the graduate textbook level, of the field that has come to be known in the last decade or so as computational geometry.
Book

Computational Geometry: An Introduction

TL;DR: In this article, the authors present a coherent treatment of computational geometry in the plane, at the graduate textbook level, and point out the way to the solution of the more challenging problems in dimensions higher than two.
Book

Algorithms in Combinatorial Geometry

TL;DR: This book offers a modern approach to computational geo- metry, an area thatstudies the computational complexity of geometric problems with an important role in this study.
Book

Computational geometry in C

TL;DR: In this paper, the design and implementation of geometry algorithms arising in areas such as computer graphics, robotics, and engineering design are described and a self-contained treatment of the basic techniques used in computational geometry is presented.
Journal ArticleDOI

An efficient algorith for determining the convex hull of a finite planar set

TL;DR: P can be chosen to I&E the centroid oC the triangle formed by X, y and z and Express each si E S in polar coordinates th origin P and 8 = 0 in the direction of zu~ arhitnry fixed half-line L from P.
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