1.

Record Nr.

UNINA9910300155203321

Autore

Edelsbrunner Herbert

Titolo

A Short Course in Computational Geometry and Topology / / by Herbert Edelsbrunner

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014

ISBN

3-319-05957-2

Edizione

[1st ed. 2014.]

Descrizione fisica

1 online resource (105 p.)

Collana

SpringerBriefs in Mathematical Methods, , 2365-0834

Disciplina

516

Soggetti

Mathematics - Data processing

Manifolds (Mathematics)

Biomedical engineering

Biomathematics

Computational Science and Engineering

Manifolds and Cell Complexes

Biomedical Engineering and Bioengineering

Mathematical and Computational Biology

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

Roots of Geometry and Topology -- Voronoi and Delaunay Diagrams -- Weighted Diagrams -- Three Dimensions -- Alpha Complexes -- Holes -- Area Formulas -- Topological Spaces -- Homology Groups -- Complex Construction -- Filtrations -- PL Functions -- Matrix Reduction -- Epilogue.

Sommario/riassunto

With the aim to bring the subject of Computational Geometry and Topology closer to the scientific audience, this book is written in thirteen ready-to-teach sections organized in four parts: TESSELLATIONS, COMPLEXES, HOMOLOGY, PERSISTENCE. To speak to the non-specialist, detailed formalisms are often avoided in favor of lively 2- and 3-dimensional illustrations. The book is warmly recommended to everybody who loves geometry and the fascinating world of shapes.