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Geometry

  • Antti LaaksonenEmail author
Chapter
  • 193k Downloads
Part of the Undergraduate Topics in Computer Science book series (UTICS)

Abstract

This chapter discusses algorithm techniques related to geometry. The general goal of the chapter is to find ways to conveniently solve geometric problems, avoiding special cases and tricky implementations. Section 13.1 introduces the C++ complex number class which has useful tools for geometric problems. After this, we will learn to use cross products to solve various problems, such as testing whether two line segments intersect and calculating the distance from a point to a line. Finally, we discuss ways to calculate polygon areas and explore special properties of Manhattan distances. Section 13.2 focuses on sweep line algorithms which play an important role in computational geometry. We will see how to use such algorithms for counting intersection points, finding closest points, and constructing convex hulls.

Keywords

Line Segment Intersection Sweep-line Algorithm Constructing Convex Hulls Complex Number Class Finding Closest Points 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Department of Computer ScienceUniversity of HelsinkiHelsinkiFinland

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