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MESH

A Journey Through Discrete Geometry

  • Video
  • Sep 2010

Overview

Authors:
  1. Beau Janzen

    1. Zipheron Design Labs., Culver City, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. Konrad Polthier

    1. Freie Universität Berlin FB Mathematik und Informatik, Berlin, Germany

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • Outstanding scientific film
  • prize winner at several scientific film festivals
  • prize winner at several cultural film festivals

Part of the book series: Springer VideoMATH (VIDEOMATH)

Buy print copy

Keywords

  • computer graphics
  • geometric modelling
  • polyhedral meshes
  • polyhedron
  • visualization

About this book

MESH is a mathematical video on polyhedral meshes and their role in geometry, numerics and computer graphics. The film is completely computer-generated using the latest technology and spans the range from ancient Greek mathematics to the area of geometric modelling of today. MESH has already won several science awards worldwide. The authors are Konrad Polthier, a professor of mathematics, and Beau Janzen, a professional film director.

The film is an excellent teaching tool for courses on geometry, visualization, scientific computing and geometric modelling at universities and centres for computational science, and can be used in schools, too.

Reviews

From the reviews:

"The mathematical film Mesh … has already won numerous international prizes. Mesh is a ground breaking 40-minute computer animation that explores the advancement of discrete geometry from the ancient Greeks to contemporary research topics. … With its synthesis of cutting-edge visualization, breathtaking artistry, storytelling and humor, Mesh presents complex ideas in a way that is palpable and relevant to even a novice audience. … Many of the topics in Mesh have never before been portrayed with computer graphics … ." (www.webwire.com, January, 2007)

"… mit Beau Janzen hat Polthier jüngst den Film ‘Mesh‘ herausgebracht - eine unterhaltsame Einführung in zentrale Probleme der Geometrie … ‘Mesh’ ist eine Reise durch die Geometrie von den alten Griechen bis zur ‘diskreten Differentialgeometrie‘ der Gegenwart, die sich mit der Darstellung von Formen mit Hilfe einer endlichen Anzahl von Drei- und Rechtecken beschäftigt. … Das ist ein ganz wesentlicher Ansatzpunkt für die Kompression geometrischer Daten … Mit ruhiger Stimme beschreibt der Mathematiker seine Vision. Er ist der festen Überzeugung, dass ein Technologiesprung bevorsteht. …"

(Dreiecksgeschichte, in: Die Rheinpfalz, 18. März 2007, S. 19)

"Mesh lays out the full theoretical framework behind the use of meshes … . As a practical teaching too, Mesh has all the necessary depth to introduce the subject to a student; as a film for general audiences, it’s clear enough for the neophyte with a bit of advanced high school science to follow; and as a primer, it’s bright and colorful enough to make a 10-year-old want to revisit the subject in years to come." (Animation World Magazine, October, 2007)

Authors and Affiliations

  • Zipheron Design Labs., Culver City, USA

    Beau Janzen

  • Freie Universität Berlin FB Mathematik und Informatik, Berlin, Germany

    Konrad Polthier

Bibliographic Information

  • Book Title: MESH

  • Book Subtitle: A Journey Through Discrete Geometry

  • Authors: Beau Janzen, Konrad Polthier

  • Series Title: Springer VideoMATH

  • Publisher: Springer Berlin, Heidelberg

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2007

  • Series ISSN: 1613-1053

  • Edition Number: 1

  • Number of Pages: XXII, 2

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