Amphi 2 : triangulations de Delaunay (I) Steve Oudot INF562 G eom - PowerPoint PPT Presentation

Aug 25, 2022 •178 likes •1.32k views

INF562 G eom etrie Algorithmique et Applications Amphi 2 : triangulations de Delaunay (I) Steve Oudot INF562 G eom etrie Algorithmique et Applications Amphi 2 : triangulations de Delaunay (I) Steve Oudot (certains slides

Why (and how) it works Property 1 : the conflict zone is connected → compute conflict zone by dfs in dual graph Property 2 : conflict zone is starred with respect to p → re-triangulating the conflict zone w.r.t. p gives a triangulation Property 3 : every new Delaunay triangle is incident to p → re-triangulating the conflict zone w.r.t. p gives a Delaunay tr.
The Guibas/Stolfi variant • Locate point in triangulation
The Guibas/Stolfi variant • Locate point in triangulation • Star triangle
The Guibas/Stolfi variant • Locate point in triangulation • Star triangle • Apply flipping algo.
The Guibas/Stolfi variant • Locate point in triangulation • Star triangle • Apply flipping algo.
The Guibas/Stolfi variant • Locate point in triangulation • Star triangle • Apply flipping algo.
The Guibas/Stolfi variant • Locate point in triangulation • Star triangle • Apply flipping algo.
The Guibas/Stolfi variant • Locate point in triangulation • Star triangle → implemented in the Jcg library • Apply flipping algo.
Delaunay triangulation with constraints

Recommend

Lect 12a - Delaunay Triangulations Lect 12b - Delaunay Triangulations Lect 12c - Delaunay

Lect 12a - Delaunay Triangulations Lect 12b - Delaunay Triangulations Lect 12c - Delaunay Triangulations Lect 12d - Delaunay Triangulations Lect 12e - Delaunay Triangulations

344 views • 6 slides

Flips in higher order Delaunay triangulations Elena Arseneva, Prosenjit Bose, Pilar Cano, and

Flips in higher order Delaunay triangulations Elena Arseneva, Prosenjit Bose, Pilar Cano, and Rodrigo I. Silveira Delaunay triangulations Delaunay triangulations S Delaunay triangulations DT ( S ) Delaunay triangulations DT ( S ) Delaunay

935 views • 64 slides

Computational Geometry Lecture 12: Delaunay Triangulations Computational Geometry Lecture 12:

Introduction Triangulations Delaunay Triangulations Delaunay Triangulations Computational Geometry Lecture 12: Delaunay Triangulations Computational Geometry Lecture 12: Delaunay Triangulations Introduction Triangulations Delaunay

746 views • 50 slides

Computational Geometry Lecture 12: Delaunay Triangulations 1 Computational Geometry Lecture 12:

Introduction Triangulations Delaunay Triangulations Delaunay Triangulations Computational Geometry Lecture 12: Delaunay Triangulations 1 Computational Geometry Lecture 12: Delaunay Triangulations Introduction Triangulations Delaunay

981 views • 50 slides

Computational Geometry Lecture 12: Delaunay Triangulations Computational Geometry Lecture 12:

Introduction Triangulations Delaunay Triangulations Applications Delaunay Triangulations Computational Geometry Lecture 12: Delaunay Triangulations Computational Geometry Lecture 12: Delaunay Triangulations Introduction Triangulations

936 views • 68 slides

Probability and Delaunay triangulations 1 Randomized algorithms for Delaunay triangulations

Probability and Delaunay triangulations 1 Randomized algorithms for Delaunay triangulations Poisson Delaunay triangulation 2 - 1 Randomized algorithms for Delaunay triangulations Randomized backward analysis of binary trees Randomized

1.99k views • 121 slides

Delaunay Triangulations-Part II A.Rahiminasab December 2014 1 / 52 Review Computing the

Review Computing the Delaunay Triangulation Analysis Conclusion Department of Computer Science, Yazd University Delaunay Triangulations-Part II A.Rahiminasab December 2014 1 / 52 Review Computing the Delaunay Triangulation Triangulations

2.25k views • 182 slides

Walking in Poisson Delaunay triangulations Olivier Devillers [D. & Hemsley, 2016] [Chenavier

Walking in Poisson Delaunay triangulations Olivier Devillers [D. & Hemsley, 2016] [Chenavier & D.,2018] [de Castro & D., 2018] [D. & Noizet, 2018] 1 Walking in Delaunay triangulations Straight walk 2 - 1 Walking in Delaunay

1.17k views • 98 slides

Delaunay triangulations on hyperbolic surfaces Iordan Iordanov Monique Teillaud Astonishing

Delaunay triangulations on hyperbolic surfaces Iordan Iordanov Monique Teillaud Astonishing Workshop 25 September 2017 Nancy, France I. Iordanov & M. Teillaud Delaunay triangulations on hyperbolic surfaces 1 / 30 Outline 1

834 views • 64 slides

Delaunay triangulations of symmetric hyperbolic surfaces Matthijs Ebbens Iordan Iordanov

Delaunay triangulations of symmetric hyperbolic surfaces Matthijs Ebbens Iordan Iordanov Monique Teillaud Gert Vegter Curves and Surfaces 2018 Arcachon, France M. Ebbens, I. Iordanov , M. Teillaud, G. Vegter Delaunay triangulations of

911 views • 61 slides

Meshing Formally introd by Voronoi in 1908 Meshing Delaunay 1934 Applications

Delaunay/Voronoi CS 101 An essential notion CS 101 Meshing Formally introd by Voronoi in 1908 Meshing Delaunay 1934 Applications galore Introduction to Delaunay Triangulations path planning in robotics crystallography

396 views • 5 slides

Incremental Construction of Constrained Delaunay Triangulations Jonathan Richard Shewchuk

Incremental Construction of Constrained Delaunay Triangulations Jonathan Richard Shewchuk Computer Science Division University of California Berkeley, California, USA 1 7 3 10 0 9 4 6 8 5 2 The Delaunay Triangulation An edge is

765 views • 50 slides

Generalizing CGAL Periodic Delaunay Triangulations Georg Osang , Mael Rouxel-Labb e and Monique

Generalizing CGAL Periodic Delaunay Triangulations Georg Osang , Mael Rouxel-Labb e and Monique Teillaud September 8th, 2020 G. Osang, M. Rouxel-Labb e, M. Teillaud Generalizing CGAL Periodic Delaunay September 8th, 2020 1 / 21 Setting

1.34k views • 106 slides

Insertions and Deletions in Delaunay Triangulations using Guided Point Location Kevin Buchin

Insertions and Deletions in Delaunay Triangulations using Guided Point Location Kevin Buchin Heraklion, 21.1.2013 TU Eindhoven Guide - Example Construct Delaunay triangulation of convex polygon in linear expected time [Chew 90] Convex

885 views • 65 slides

Voronoi Diagrams, Delaunay Triangulations and Polytopes Jean-Daniel Boissonnat Geometrica, INRIA

Voronoi Diagrams, Delaunay Triangulations and Polytopes Jean-Daniel Boissonnat Geometrica, INRIA http://www-sop.inria.fr/geometrica Winter School, University of Nice Sophia Antipolis January 26-30, 2015 Winter School 2 Voronoi, Delaunay

820 views • 66 slides

Building Good Triangulations 1. Nets and thick triangulations 2. Triangulation of manifolds

Building Good Triangulations 1. Nets and thick triangulations 2. Triangulation of manifolds Jean-Daniel Boissonnat INRIA Hamilton Mathematics Institute 17-19 June, 2018 1 / 58 Triangulations A central subject since the early days of

1.38k views • 76 slides

Exposing iClass Key Diversification Contents Introduction RFID iClass and Picopass

Usenix WOOT 2011 Flavio D. Garcia Gerhard de Koning Gans Roel Verdult Exposing iClass Key Diversification Contents Introduction RFID iClass and Picopass Key Diversification iClass Key Diversification DES and

620 views • 42 slides

Cryptography [Symmetric Encryption] Spring 2020 Franziska (Franzi) Roesner

CSE 484 / CSE M 584: Computer Security and Privacy Cryptography [Symmetric Encryption] Spring 2020 Franziska (Franzi) Roesner franzi@cs.washington.edu Thanks to Dan Boneh, Dieter Gollmann, Dan Halperin, Yoshi Kohno, Ada Lerner, John

584 views • 21 slides

Introduc)on to the Remedial Acquisi)on Framework RAF 101 INTERNAL EPA USE ONLY Learning

Introduc)on to the Remedial Acquisi)on Framework RAF 101 INTERNAL EPA USE ONLY Learning Objec)ves Increase awareness of pressures to change the Superfund remedial programs way of doing business Develop an understanding of the

805 views • 55 slides

Approche Algorithmique des Syst` emes R epartis (AASR) Guillaume Pierre

Approche Algorithmique des Syst` emes R epartis (AASR) Guillaume Pierre guillaume.pierre@irisa.fr Dapr` es un jeu de transparents de Maarten van Steen VU Amsterdam, Dept. Computer Science 06a: Synchronization (1/2) Contents Chapter

605 views • 41 slides

IntroductiontoCryptology(NSchapter2)

IntroductiontoCryptology(NSchapter2) ComputerandNetworkSecurity Encryption: plaintext+key ciphertext CMSC414 Decryption:

792 views • 16 slides

Computer Graphics - Introduction - Philipp Slusallek Computer Graphics WS 2019/20 Philipp

Computer Graphics - Introduction - Philipp Slusallek Computer Graphics WS 2019/20 Philipp Slusallek Overview Today Administrative stuff History of Computer Graphics (CG) Next lecture Overview of Ray Tracing Computer

829 views • 59 slides

Nice Apr/2005 Checkpointing++ 1 Note for the website version: This is the babel fish!

Nice Apr/2005 Checkpointing++ 1 Note for the website version: This is the babel fish! somebody on the web c Look for its insightful blue translations! Utke Argonne National Laboratory Nice Apr/2005

425 views • 14 slides

$Algebraic continued fractions : the contribution of R. de Montessus de Ballore (1870-1937) Herv$

Algebraic continued fractions : the contribution of R. de Montessus de Ballore (1870-1937) Herv

Who was Robert de Montessus de Ballore ? Algebraic continued fractions Conclusion Algebraic continued fractions : the contribution of R. de Montessus de Ballore (1870-1937) Herv e Le Ferrand Universit e de Bourgogne, Dijon, France

732 views • 53 slides

Download document

More recommend

Explore More Topics

Stay informed with curated content and fresh updates.

animals pets art culture automotive transportation business finance computer internet construction architecture education-career electronics communication

Amphi 2 : triangulations de Delaunay (I) Steve Oudot INF562 G eom - PowerPoint PPT Presentation

INF562 G eom etrie Algorithmique et Applications Amphi 2 : triangulations de Delaunay (I) Steve Oudot INF562 G eom etrie Algorithmique et Applications Amphi 2 : triangulations de Delaunay (I) Steve Oudot (certains slides

Lect 12a - Delaunay Triangulations Lect 12b - Delaunay Triangulations Lect 12c - Delaunay

Flips in higher order Delaunay triangulations Elena Arseneva, Prosenjit Bose, Pilar Cano, and

Computational Geometry Lecture 12: Delaunay Triangulations Computational Geometry Lecture 12:

Computational Geometry Lecture 12: Delaunay Triangulations 1 Computational Geometry Lecture 12:

Computational Geometry Lecture 12: Delaunay Triangulations Computational Geometry Lecture 12:

Probability and Delaunay triangulations 1 Randomized algorithms for Delaunay triangulations

Delaunay Triangulations-Part II A.Rahiminasab December 2014 1 / 52 Review Computing the

Walking in Poisson Delaunay triangulations Olivier Devillers [D. & Hemsley, 2016] [Chenavier

Delaunay triangulations on hyperbolic surfaces Iordan Iordanov Monique Teillaud Astonishing

Delaunay triangulations of symmetric hyperbolic surfaces Matthijs Ebbens Iordan Iordanov

Meshing Formally introd by Voronoi in 1908 Meshing Delaunay 1934 Applications

Incremental Construction of Constrained Delaunay Triangulations Jonathan Richard Shewchuk

Generalizing CGAL Periodic Delaunay Triangulations Georg Osang , Mael Rouxel-Labb e and Monique

Insertions and Deletions in Delaunay Triangulations using Guided Point Location Kevin Buchin

Voronoi Diagrams, Delaunay Triangulations and Polytopes Jean-Daniel Boissonnat Geometrica, INRIA

Building Good Triangulations 1. Nets and thick triangulations 2. Triangulation of manifolds

Exposing iClass Key Diversification Contents Introduction RFID iClass and Picopass

Cryptography [Symmetric Encryption] Spring 2020 Franziska (Franzi) Roesner

Introduc)on to the Remedial Acquisi)on Framework RAF 101 INTERNAL EPA USE ONLY Learning

Approche Algorithmique des Syst` emes R epartis (AASR) Guillaume Pierre

IntroductiontoCryptology(NSchapter2)

Computer Graphics - Introduction - Philipp Slusallek Computer Graphics WS 2019/20 Philipp

Nice Apr/2005 Checkpointing++ 1 Note for the website version: This is the babel fish!

Algebraic continued fractions : the contribution of R. de Montessus de Ballore (1870-1937) Herv

Explore More Topics

Sambuz

Useful Links

Newsletter

Mail Us

Amphi 2 : triangulations de Delaunay (I) Steve Oudot INF562 G eom - PowerPoint PPT Presentation

INF562 G eom etrie Algorithmique et Applications Amphi 2 : triangulations de Delaunay (I) Steve Oudot INF562 G eom etrie Algorithmique et Applications Amphi 2 : triangulations de Delaunay (I) Steve Oudot (certains slides

Lect 12a - Delaunay Triangulations Lect 12b - Delaunay Triangulations Lect 12c - Delaunay

Flips in higher order Delaunay triangulations Elena Arseneva, Prosenjit Bose, Pilar Cano, and

Computational Geometry Lecture 12: Delaunay Triangulations Computational Geometry Lecture 12:

Computational Geometry Lecture 12: Delaunay Triangulations 1 Computational Geometry Lecture 12:

Computational Geometry Lecture 12: Delaunay Triangulations Computational Geometry Lecture 12:

Probability and Delaunay triangulations 1 Randomized algorithms for Delaunay triangulations

Delaunay Triangulations-Part II A.Rahiminasab December 2014 1 / 52 Review Computing the

Walking in Poisson Delaunay triangulations Olivier Devillers [D. &amp; Hemsley, 2016] [Chenavier

Delaunay triangulations on hyperbolic surfaces Iordan Iordanov Monique Teillaud Astonishing

Delaunay triangulations of symmetric hyperbolic surfaces Matthijs Ebbens Iordan Iordanov

Meshing Formally introd by Voronoi in 1908 Meshing Delaunay 1934 Applications

Incremental Construction of Constrained Delaunay Triangulations Jonathan Richard Shewchuk

Generalizing CGAL Periodic Delaunay Triangulations Georg Osang , Mael Rouxel-Labb e and Monique

Insertions and Deletions in Delaunay Triangulations using Guided Point Location Kevin Buchin

Voronoi Diagrams, Delaunay Triangulations and Polytopes Jean-Daniel Boissonnat Geometrica, INRIA

Building Good Triangulations 1. Nets and thick triangulations 2. Triangulation of manifolds

Exposing iClass Key Diversification Contents Introduction RFID iClass and Picopass

Cryptography [Symmetric Encryption] Spring 2020 Franziska (Franzi) Roesner

Introduc)on to the Remedial Acquisi)on Framework RAF 101 INTERNAL EPA USE ONLY Learning

Approche Algorithmique des Syst` emes R epartis (AASR) Guillaume Pierre

IntroductiontoCryptology(NSchapter2)

Computer Graphics - Introduction - Philipp Slusallek Computer Graphics WS 2019/20 Philipp

Nice Apr/2005 Checkpointing++ 1 Note for the website version: This is the babel fish!

Algebraic continued fractions : the contribution of R. de Montessus de Ballore (1870-1937) Herv

Explore More Topics

Sambuz

Useful Links

Newsletter

Mail Us

Walking in Poisson Delaunay triangulations Olivier Devillers [D. & Hemsley, 2016] [Chenavier