Computational geometry course

  • Is computational geometry hard?

    Why's it so tough? Let's take a fairly straightforward computational geometry problem: given a point and a polygon, does the point lie inside of the polygon? (This is called the point-in-polygon, or PIP problem.) PIP does a great job of demonstrating why computational geometry can be (deceptively) tough..

  • What are the branches of computational geometry?

    The main branches of computational geometry are: Combinatorial computational geometry, also called algorithmic geometry, which deals with geometric objects as discrete entities.
    A groundlaying book in the subject by Preparata and Shamos dates the first use of the term "computational geometry" in this sense by 1975..

  • What are the prerequisites for computational geometry?

    Prerequisite: Computer Science 13.

    1. A-B.
      2. Algorithms and lower bound techniques in computational geometry; decision tree models of computation; geometric searching; point location and range search; convex hull and maxima of a point set; proximity algorithms; geometric intersections.

  • What is computational geometry used for?

    Other important applications of computational geometry include robotics (motion planning and visibility problems), geographic information systems (GIS) (geometrical location and search, route planning), integrated circuit design (IC geometry design and verification), and computer-aided engineering (CAE)..

  • What is the use of geometry in computer science?

    Other important applications of computational geometry include robotics (motion planning and visibility problems), geographic information systems (GIS) (geometrical location and search, route planning), integrated circuit design (IC geometry design and verification), computer-aided engineering (CAE) (mesh generation), .

  • The concepts of geometry, such as points, lines, planes, curves, and transformations, play a significant role in .
    1. D graphics and computer vision.
      2. These concepts provide a foundation for representing and manipulating objects in .
    2. D space
Computational Geometry algorithms have tons of applications in the fields like computer games, computer simulation, computer graphic, CAD/CAM software's, Navigation systems and many more day to day applications.
Course Description. Topics in surface modeling: b-splines, non-uniform rational b-splines, physically based deformable surfaces, sweeps and generalized  Lecture NotesSyllabusReadingsAssignments
Learn computational geometry with Saint Petersburg State University in a 5-week course. Gain skills in algorithmic approaches, geometric primitives, 
Computational geometry course
Computational geometry course

Deals with digitized models or images of objects of the 2D or 3D Euclidean space

Digital geometry deals with discrete sets considered to be digitized models or images of objects of the 2D or 3D Euclidean space.
Simply put, digitizing is replacing an object by a discrete set of its points.
The images we see on the TV screen, the raster display of a computer, or in newspapers are in fact digital images.
In mathematics

In mathematics

Branch of mathematics concerned with movement of shapes and sets

In mathematics, transformation geometry is the name of a mathematical and pedagogic take on the study of geometry by focusing on groups of geometric transformations, and properties that are invariant under them.
It is opposed to the classical synthetic geometry approach of Euclidean geometry, that focuses on proving theorems.

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