Deformation Capture and Modeling This subtitle is 20 points of Soft - - PowerPoint PPT Presentation

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Deformation Capture and Modeling This subtitle is 20 points of Soft - - PowerPoint PPT Presentation

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Edit this text to create a Heading Deformation Capture and Modeling This subtitle is 20 points of Soft Objects Bullets are blue They have 110% line spacing, 2 points before & after Bin Wang * KangKang Yin Uri Asher

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Deformation Capture and Modeling

  • f Soft Objects

Bin Wang* † KangKang Yin† Hui Huang*

*SIAT

‡University of British Columbia †National University of Singapore

Uri Asher‡ Longhua Wu* Libin Liu‡

1

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Deformation Models

2

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Manually Tuning

3

Manually tuning model’s parameters is tedious and time consuming.

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Data-Driven Modeling

4

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  • Customized hardware system

Limitations

5

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  • Customized hardware system
  • Oversimplified reference shape

Limitations

6

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  • Customized hardware system
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  • Dynamic properties are ignored

Limitations

7

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Our Goal

  • Target for generic soft objects
  • To estimate from pure kinematic data without

force-displacement measurements

  • To estimate the reference shape as well as

material properties and damping coefficients

8

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9

FEM-Based Deformation Simulation

Acceleration Damping Force Elastic Force External Force

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FEM-Based Deformation Simulation

N nodes

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  • Co-rotated linear model

11

FEM-Based Deformation Simulation

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12

FEM-Based Deformation Simulation

(Young’s modulus): force expansion/compression (Poisson ratio): expansion compression

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13

FEM-Based Deformation Simulation

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  • Co-rotated linear model
  • Rayleigh damping:

14

FEM-Based Deformation Simulation

Reference shape Young’s modulus & Poisson ratio Rayleigh damping coefficients

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Overview

15

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Capture

Acquisition of static shape and deformable motion. 16

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Capture

  • Static shape

17 Point cloud Volumetric mesh Surface mesh

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  • Dynamic motion

18

Capture

Three Kinect sensors

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  • Dynamic motion

19

Capture

Deformation by interaction Three Kinect sensors

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Capture

20 Real objects Captured point clouds REPLAY X 1/2

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Tracking

21 Reconstruct mesh deformation from point clouds

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  • Challenges
  • Noisy and incomplete
  • Large deformation
  • No correspondence

Tracking

22

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  • Maximum a posteriori probability (MAP)

Tracking

23

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Tracking

  • Maximum a posteriori probability (MAP)
  • Expectation-Maximization (EM)
  • : latent variable
  • Normally distributed

24

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  • E step:
  • expectation
  • generate a lower bound
  • M step:
  • maximize the lower bound

25

Tracking

Original problem Lower Bound1 Lower Bound2

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  • E step:
  • expectation
  • generate a lower bound
  • M step:
  • maximize the lower bound
  • explain observation + minimize potential energy
  • virtual force + physics simulation

26

Tracking

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Tracking

27 Fitting the static shape to the first frame

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Tracking

28 Capture Tracking result

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Optimization

29

Learning deformation model from motion trajectories

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Optimization

  • Space-time optimization
  • Challenges
  • High dimension, nonlinear
  • Parameters coupling

30

Young’s modulus Reference shape Rayleigh damping coefficients

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Optimization

  • Constrained space-time optimization

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32

Splitting Scheme

  • Maintain static equilibrium
  • Force residual as virtual force
  • Physics simulation

Static shape Reference shape

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33

Splitting Scheme

Reference shape optimization Static shape Reference shape

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34

Splitting Scheme

  • Match full trajectory
  • Gradient free downhill

Static shape Reference shape

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35

Splitting Scheme

Static shape Reference shape Material distribution

E

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36

Splitting Scheme

Tracking result Simulation REPLAY X 1/2

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Heterogeneous Distribution

37 Multiple control points

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38

Warm Start

Degenerated areas Large plateau Narrow valley with local minima

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Warm Start

  • Modal analysis

39

E = 6.8e+05 E = 4.0e+06 E = 5.0e+04

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Warm Start

  • Frequency matching
  • Captured trajectory
  • Project on to the Eigen mode

40

Twist Bend Stretch

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Warm Start

  • Frequency matching

41

E = 6.8e+05 E = 4.0e+06 E = 5.0e+04

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Iterative Refinement

42

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Iterative Refinement

43 Large deformations can be reconstructed faithfully Iteration 1 Iteration 2

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Iterative Refinement

44 Iteration 1 Iteration 2 Iteration 3 The stress field becoms more resonable

von Mises Stress

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45

Simulation

Synthesis new motion

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Simulation

46 Simulation with water drops

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Simulation

47 Simulation of wind effects

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Validation

48

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Validation

49 Ground truth Tracking result Simulation Mode 1 X 1/4 Mode 2

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Validation

50 Simulation Ground truth X 1/4

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Validation

51 Ground truth Tracking result Simulation X 1/2 Mode 2 Mode 1

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Validation

52 Simulation Ground truth X 1/2

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More Results

53

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Conclusion

  • Iterative tracking and optimization framework

57

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Conclusion

  • Iterative tracking and optimization framework
  • Splitting scheme for spacetime optimization

58

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Conclusion

  • Iterative tracking and optimization framework
  • Splitting scheme for spacetime optimization
  • Physics-based deformation tracking

59

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Limitations

  • Missing high frequency vibration
  • Poisson ratio estimation

60

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Limitations

  • Missing high frequency vibration
  • Poisson ratio estimation
  • Artificial stiffness

61

Volumetric mesh Surface mesh

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Limitations

  • Missing high frequency vibration
  • Poisson ratio estimation
  • Artificial stiffness
  • Numerical damping

62

Time Step: 0.005s 0.02s 0.05s

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Future Work

  • More advanced elastic models
  • Gradient-based deformation parameter
  • ptimization
  • Contact-rich trajectories

63

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  • Longer bullets in the form of a paragraph are harder to

read if there is insufficient line spacing. This is the maximum recommended number of lines per slide (seven).

  • Sub bullets look like this

Thank You!

64

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SLIDE 65

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  • Longer bullets in the form of a paragraph are harder to

read if there is insufficient line spacing. This is the maximum recommended number of lines per slide (seven).

  • Sub bullets look like this

65

Performance

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SLIDE 66

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  • Longer bullets in the form of a paragraph are harder to

read if there is insufficient line spacing. This is the maximum recommended number of lines per slide (seven).

  • Sub bullets look like this

66

Accuracy

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SLIDE 67

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read if there is insufficient line spacing. This is the maximum recommended number of lines per slide (seven).

  • Sub bullets look like this

67

Convergence

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SLIDE 68

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  • Sub bullets look like this

68

Reference Shape Estimation

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SLIDE 69

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  • Sub bullets look like this

69

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SLIDE 70

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  • Bullets are blue
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  • Longer bullets in the form of a paragraph are harder to

read if there is insufficient line spacing. This is the maximum recommended number of lines per slide (seven).

  • Sub bullets look like this

Related Work: Animation Capture

70

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SLIDE 71

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  • Sub bullets look like this

Related Work: Fabrication-oriented Deformation Design

71

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SLIDE 72

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  • Sub bullets look like this
  • Co-rotated Elastic Model
  • Rayleigh Damping

72

FEM-Based Deformation Simulation

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SLIDE 73

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  • Sub bullets look like this

Physically-based Simulation

73

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SLIDE 74

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  • Sub bullets look like this
  • Spring model
  • FEM (Finite Element Method)

74

Physically-based Deformation Models

Young’s modulus, Poisson ratio Reference shape Manual tuning these parameters for heterogeneous

  • bjects is tedious and error prone