laplace mesh
play

LAPLACE MESH PROCESSING Software Engineering Project Students - PowerPoint PPT Presentation

Sep 09, 2023 •138 likes •347 views

Centre Universitaire Condorcet Laplace Mesh Processing Project - VIBOT January 16, 2015 LAPLACE MESH PROCESSING Software Engineering Project Students Professor Flvia Dias Casagrande Yohan Fougerolle Luis

  1. Centre Universitaire Condorcet Laplace Mesh Processing Project - VIBOT January 16, 2015 LAPLACE MESH PROCESSING Software Engineering Project Students Professor Flávia Dias Casagrande Yohan Fougerolle Luis Miguel Zapata Marcel Sheeny de Moraes January, 2015 Le Creusot

  2. Centre Universitaire Condorcet Laplace Mesh Processing Project - VIBOT January 16, 2015 Overview • Introduction • Improvement in the Code • Program Implemented • User Interface • Results • Conclusion • Future Works 2

  3. Centre Universitaire Condorcet Laplace Mesh Processing Project - VIBOT January 16, 2015 Introduction • Objective • 3D Mesh Bunny 3D Mesh, Spectral Decomposition, Smoothing, Stretching • Laplacian Operator • Differential coordinates 3

  4. Centre Universitaire Condorcet Laplace Mesh Processing Project - VIBOT January 16, 2015 Introduction • Graph Laplacian • Geometrical Laplacian 4

  5. Centre Universitaire Condorcet Laplace Mesh Processing Project - VIBOT January 16, 2015 Introduction • Applications • Spectral Decomposition • Smoothing or Frequency Removal 5

  6. Centre Universitaire Condorcet Laplace Mesh Processing Project - VIBOT January 16, 2015 Introduction • Applications • Mesh Editing • Anchors, handler • Least mean square 6

  7. Centre Universitaire Condorcet Laplace Mesh Processing Project - VIBOT January 16, 2015 Improvement in the Code • Software Provided • Mesh, NeighbourMesh • Problems with encapsulation, global variables, no software architecture • Refactoring • Main public methods turned into private/protected • New Classes (Light, Camera, LaplacianMesh) • Qt OpenGL Integration 7

  8. Centre Universitaire Condorcet Laplace Mesh Processing Project - VIBOT January 16, 2015 Improvement in the Code • Class Diagram: main attributes and methods 8

  9. Centre Universitaire Condorcet Laplace Mesh Processing Project - VIBOT January 16, 2015 Program Implemented • Matlab Code • C++ Code • Graph Laplacian 9

  10. Centre Universitaire Condorcet Laplace Mesh Processing Project - VIBOT January 16, 2015 Program Implemented • C++ Code • Geometrical Laplacian 10

  11. Centre Universitaire Condorcet Laplace Mesh Processing Project - VIBOT January 16, 2015 Program Implemented • C++ Code • Geometrical Laplacian 11

  12. Centre Universitaire Condorcet Laplace Mesh Processing Project - VIBOT January 16, 2015 Program Implemented • C++ Code • Spectral Decomposition • Smoothing and Frequency Removal 12

  13. Centre Universitaire Condorcet Laplace Mesh Processing Project - VIBOT January 16, 2015 Program Implemented • C++ Code • Mesh Editing 13

  14. Centre Universitaire Condorcet Laplace Mesh Processing Project - VIBOT January 16, 2015 User Interface 14

  15. Centre Universitaire Condorcet Laplace Mesh Processing Project - VIBOT January 16, 2015 Results • Spectral Decomposition • Mesh Smoothing 15

  16. Centre Universitaire Condorcet Laplace Mesh Processing Project - VIBOT January 16, 2015 Results • Frequency Removal • Mesh Editing 16

  17. Centre Universitaire Condorcet Laplace Mesh Processing Project - VIBOT January 16, 2015 Conclusion • Laplacian operator and its many properties • Applications • Smoothing • Editing • Research and Software development 17

  18. Centre Universitaire Condorcet Laplace Mesh Processing Project - VIBOT January 16, 2015 Future Works • Implementation of mouse interaction for mesh editing • Rendering using Shaders • Parallel implementation of Laplacian 18

  19. Centre Universitaire Condorcet Laplace Mesh Processing Project - VIBOT January 16, 2015 Demonstration

  20. Centre Universitaire Condorcet Laplace Mesh Processing Project - VIBOT January 16, 2015 Thank you for your attention! Questions?

Recommend

TOC Chapter 4. The Laplace Transform [part 1] 4.1 Preliminaries 4.2 Laplace Transform 4.3

TOC Chapter 4. The Laplace Transform [part 1] 4.1 Preliminaries 4.2 Laplace Transform 4.3

TOC Chapter 4. The Laplace Transform [part 1] 4.1 Preliminaries 4.2 Laplace Transform 4.3 Basic Properties of the Laplace Transform 4.4 Inverse Laplace Transforms and Initial-Value Problems [part 2] 4.5 Piecewise Continuous Functions, Part

742 views • 48 slides
Topic 9: The Laplace Transform o Introduction o Laplace Transform & Examples o Region of

Topic 9: The Laplace Transform o Introduction o Laplace Transform & Examples o Region of

ELEC361: Signals And Systems Topic 9: The Laplace Transform o Introduction o Laplace Transform & Examples o Region of Convergence of the Laplace Transform o Review: Partial Fraction Expansion o Inverse Laplace Transform & Examples o

1.11k views • 84 slides
JUST THE MATHS SLIDES NUMBER 16.2 LAPLACE TRANSFORMS 2 (Inverse Laplace Transforms) by

JUST THE MATHS SLIDES NUMBER 16.2 LAPLACE TRANSFORMS 2 (Inverse Laplace Transforms) by

JUST THE MATHS SLIDES NUMBER 16.2 LAPLACE TRANSFORMS 2 (Inverse Laplace Transforms) by A.J.Hobson 16.2.1 The definition of an inverse Laplace Transform 16.2.2 Methods of determining an inverse Laplace Transform UNIT 16.2 - LAPLACE

133 views • 10 slides
Laplace Transforms Laplace Transform Motivation Definition v s ( t ) + Region of

Laplace Transforms Laplace Transform Motivation Definition v s ( t ) + Region of

Laplace Transforms Laplace Transform Motivation Definition v s ( t ) + Region of convergence Linear v s ( t ) v o Useful properties Circuit t - Inverse & partial fraction expansion Distinct, complex, & repeated

313 views • 12 slides
Mesh Networks | Hacking The T3lc0 Model http://arig.org.il What's a Mesh Anyway ? Mesh =

Mesh Networks | Hacking The T3lc0 Model http://arig.org.il What's a Mesh Anyway ? Mesh =

Mesh Networks | Hacking The T3lc0 Model http://arig.org.il What's a Mesh Anyway ? Mesh = topology. anything not a star / bus / ring / tree Nodes = routers, smart phones, cars anything wi-fi enabled Links = wireless connections

516 views • 25 slides
Laplace Transforms e st f ( t ) dt . Definition 1 (Laplace Transform) . L [ f ( t )] =

Laplace Transforms e st f ( t ) dt . Definition 1 (Laplace Transform) . L [ f ( t )] =

Laplace Transforms e st f ( t ) dt . Definition 1 (Laplace Transform) . L [ f ( t )] = 0 Well often write Y ( s ) = L [ y ( t )]. Because e st = 1 e st is very small is s > 0 and t is large, the Laplace Transform will be

630 views • 3 slides
Chapter 7: The Laplace Transform Part 1 Department of Electrical Engineering National Taiwan

Chapter 7: The Laplace Transform Part 1 Department of Electrical Engineering National Taiwan

Laplace and Inverse Laplace Transform: Definitions and Basics Solve Initial Value Problems using Laplace Transforms Summary Chapter 7: The Laplace Transform Part 1 Department of Electrical Engineering National Taiwan University

499 views • 34 slides
Mesh Basics Mesh Basics 1 Spring 2010 Definitions: Definitions: 1/2 Definitions:

Mesh Basics Mesh Basics 1 Spring 2010 Definitions: Definitions: 1/2 Definitions:

Mesh Basics Mesh Basics 1 Spring 2010 Definitions: Definitions: 1/2 Definitions: Definitions: 1/2 1/2 1/2 A polygonal mesh consists of three kinds of mesh elements : vertices, edges, and faces. The information describing the mesh

781 views • 45 slides
JUST THE MATHS SLIDES NUMBER 16.1 LAPLACE TRANSFORMS 1 (Definitions and rules) by

JUST THE MATHS SLIDES NUMBER 16.1 LAPLACE TRANSFORMS 1 (Definitions and rules) by

JUST THE MATHS SLIDES NUMBER 16.1 LAPLACE TRANSFORMS 1 (Definitions and rules) by A.J.Hobson 16.1.1 Introduction 16.1.2 Laplace Transforms of simple functions 16.1.3 Elementary Laplace Transform rules 16.1.4 Further Laplace Transform

125 views • 11 slides
Signal and Systems Chapter 9: Laplace Transform Motivation and Definition of the (Bilateral)

Signal and Systems Chapter 9: Laplace Transform Motivation and Definition of the (Bilateral)

Signal and Systems Chapter 9: Laplace Transform Motivation and Definition of the (Bilateral) Laplace Transform Examples of Laplace Transforms and Their Regions of Convergence (ROCs) Properties of ROCs Inverse Laplace Transforms

1.17k views • 50 slides
What Makes for a Good Mesh? CS101 Meshing Winter 2007 1 Mesh Quality What makes a mesh

What Makes for a Good Mesh? CS101 Meshing Winter 2007 1 Mesh Quality What makes a mesh

What Makes for a Good Mesh? CS101 Meshing Winter 2007 1 Mesh Quality What makes a mesh good? application dependent some general principles PL approximation (triangles/tets) faithful to geometry values gradients

307 views • 11 slides
H ( s ) h ( t ) x ( t ) y ( t ) x ( t ) y ( t ) Compare & contrast with Laplace transform

H ( s ) h ( t ) x ( t ) y ( t ) x ( t ) y ( t ) Compare & contrast with Laplace transform

Overview of Continuous-Time Fourier Transform Topics Core Concepts Review Definition H ( s ) h ( t ) x ( t ) y ( t ) x ( t ) y ( t ) Compare & contrast with Laplace transform Laplace transform enables us to find the transient and

200 views • 8 slides
Laplace Transforms Circuit Analysis Example 1: Circuit Analysis We can use the Laplace transform

Laplace Transforms Circuit Analysis Example 1: Circuit Analysis We can use the Laplace transform

Laplace Transforms Circuit Analysis Example 1: Circuit Analysis We can use the Laplace transform for circuit analysis if we can define Passive element equivalents the circuit behavior in terms of a linear ODE. Review of ECE 221 methods in

305 views • 12 slides
EEM 3117 Laplace Transformation Dr. Sezai Taskin Department of Electrical&Electronics

EEM 3117 Laplace Transformation Dr. Sezai Taskin Department of Electrical&Electronics

Automatic Control EEM 3117 Laplace Transformation Dr. Sezai Taskin Department of Electrical&Electronics Engineering Faculty of Engineering, Manisa Celal Bayar University Laplace Transformation The Laplace transform of a function f ( t ),

577 views • 14 slides
A Service Mesh Is Easy To Swallow In Small Pieces Andrew Jenkins Eng Lead, Aspen Mesh

A Service Mesh Is Easy To Swallow In Small Pieces Andrew Jenkins Eng Lead, Aspen Mesh

A Service Mesh Is Easy To Swallow In Small Pieces Andrew Jenkins Eng Lead, Aspen Mesh @notthatjenkins Why Should I Use A Service Mesh? Managing Microservices Without a Service Mesh Python Node.js Java Flask http.createServer Spring

412 views • 29 slides
Chapter 7: The Laplace Transform Department of Electrical Engineering National Taiwan University

Chapter 7: The Laplace Transform Department of Electrical Engineering National Taiwan University

Laplace and Inverse Laplace Transform: Definitions and Basics Chapter 7: The Laplace Transform Department of Electrical Engineering National Taiwan University ihwang@ntu.edu.tw November 20, 2013 1 / 25 DE Lecture 10

723 views • 25 slides
Chapter 7: The Laplace Transform Department of Electrical Engineering National Taiwan University

Chapter 7: The Laplace Transform Department of Electrical Engineering National Taiwan University

Laplace and Inverse Laplace Transform: Definitions and Basics Chapter 7: The Laplace Transform Department of Electrical Engineering National Taiwan University ihwang@ntu.edu.tw November 18, 2013 1 / 19 DE Lecture 10

637 views • 19 slides
What is a mesh network? A mesh network is created when many devices have established

What is a mesh network? A mesh network is created when many devices have established

What is a mesh network? A mesh network is created when many devices have established communication between them in more than one way. Any device with an appropriate wireless node can participate in a mesh network. Initialising

140 views • 12 slides
Inverse Laplace transform Modeling systems and processes (11MSP) Bohumil Kov a r, Jan P

Inverse Laplace transform Modeling systems and processes (11MSP) Bohumil Kov a r, Jan P

Inverse Laplace transform Inverse Laplace transform - examples Inverse Laplace transform Modeling systems and processes (11MSP) Bohumil Kov a r, Jan P rikryl, Miroslav Vl cek Department of Applied Mahematics CTU in Prague, Faculty

610 views • 28 slides
Laplace Transform Prof. Seungchul Lee Industrial AI Lab. Two Famous Linear Transforms Fourier

Laplace Transform Prof. Seungchul Lee Industrial AI Lab. Two Famous Linear Transforms Fourier

Laplace Transform Prof. Seungchul Lee Industrial AI Lab. Two Famous Linear Transforms Fourier transform Laplace transform Pierre-Simon Laplace: Jean-Baptiste Joseph Fourier: 23 March 1749 5 March 1827) was a French scholar whose work was

495 views • 31 slides
A look into mesh density IN THIS WEBINAR: PRESENTED BY: Mesh refinement Andrew Nelson

A look into mesh density IN THIS WEBINAR: PRESENTED BY: Mesh refinement Andrew Nelson

Accuracy vs. Speed A look into mesh density IN THIS WEBINAR: PRESENTED BY: Mesh refinement Andrew Nelson Discussing higher order elements Stress Engineer Examining analytical error and Structural Design and Analysis

205 views • 9 slides
Chapter 7: The Laplace Transform Part 3 Department of Electrical Engineering National Taiwan

Chapter 7: The Laplace Transform Part 3 Department of Electrical Engineering National Taiwan

Inverse Transform of Derivatives and Product Laplace Transform of Periodic Functions and Dirac Delta Function Systems of Linear Differential Equations Summary Chapter 7: The Laplace Transform Part 3 Department of Electrical Engineering

503 views • 35 slides
JUST THE MATHS SLIDES NUMBER 16.7 LAPLACE TRANSFORMS 7 (An appendix) by A.J.Hobson One

JUST THE MATHS SLIDES NUMBER 16.7 LAPLACE TRANSFORMS 7 (An appendix) by A.J.Hobson One

JUST THE MATHS SLIDES NUMBER 16.7 LAPLACE TRANSFORMS 7 (An appendix) by A.J.Hobson One view of how Laplace Transforms might have arisen UNIT 16.7 - LAPLACE TRANSFORMS 7 (AN APPENDIX) ONE VIEW OF HOW LAPLACE TRANSFORMS MIGHT HAVE

289 views • 8 slides
05 Mesh Animation Steve Marschner CS5625 Spring 2019 Basic surface deformation methods Blend

05 Mesh Animation Steve Marschner CS5625 Spring 2019 Basic surface deformation methods Blend

05 Mesh Animation Steve Marschner CS5625 Spring 2019 Basic surface deformation methods Blend shapes: make a mesh by combining several meshes Mesh skinning: deform a mesh based on an underlying skeleton Both use simple linear algebra Easy to

348 views • 15 slides

More recommend