Digital Topology (2019-2020)

Lecture instructor : Nicolas Passat
Laboratory session instructor: Yukiko Kenmochi

Description

Topology is concerned with the properties of geometric objects that are preserved under continuous deformations without tearing or gluing. On the other hand, an object is represented by a set of pixels/voxels in digital images. Thus, due to the discontinuities induced by the digitization process of a function, topological defects can be frequently observed in such a digital world. Digital topology aims at designing discrete models that allow topological calculations in the most reliable and efficient way possible for discrete objects. Its main application areas are image analysis and computer graphics.

This course will focus on computerized modeling of topological shapes in digital world. We will study algorithms and data structures for creating, manipulating and analyzing digital shapes.

Schedule and Detail

The course contains eight lectures given by Nicolas Passat and three laboratory sessions by Yukiko Kenmochi:

Lecture 1

Lecture 2

Laboratory session 1

Lecture 3

Lecture 4

Laboratory session 2

Lecture 5

Lecture 6

Laboratory session 3

Lecture 7

Lecture 8

Textbooks

Useful links

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