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Group Members Ibrahim Sadek Mohamed Elawady 1 Robust principal axes determination for point-based shapes

Robust principal axes determination for point-based shapes

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Project Activity - January 2013 Software Engineering Module Burgundy University VIBOT Promotion 7 (2012-2014) Reference: Liu, Y.-S. & Ramani, K. (2009), 'Robust principal axes determination for point-based shapes using least median of squares.', Computer-Aided Design 41 (4) , 293-305 .

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Page 1: Robust principal axes determination for point-based shapes

Group MembersIbrahim Sadek

Mohamed Elawady

1

Robust principal axes determination for point-based

shapes

Page 2: Robust principal axes determination for point-based shapes

Overview

Framework

Discussion & Results

Conclusion & Future Work

Agenda

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Page 3: Robust principal axes determination for point-based shapes

Overview

Use (Least Median of Squares)

instead of (Least Mean of Squares)3

Major & Minor Regions

Page 4: Robust principal axes determination for point-based shapes

Framework

Calculate principal component axes based on LMS & forward search technique

Extract the initial subset for forward search technique using octree-based approximation

Apply the proposed algorithm to some shape matching techniques with/without the effect of noise

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Page 5: Robust principal axes determination for point-based shapes

Framework

LMS RPA

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Page 6: Robust principal axes determination for point-based shapes

Discussion & Results

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Page 7: Robust principal axes determination for point-based shapes

Discussion & Results

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Run #1 Run #2 Run #3

Comparison of major regionsCommon (Chest, Abdomen)

Page 8: Robust principal axes determination for point-based shapes

Discussion & Results

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Dog Human Horse

Comparison of major regionsCylinder-like Shape

Page 9: Robust principal axes determination for point-based shapes

Discussion & Results

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Comparison of major regionsWith/Without Noise

Run #1Normal

Run #2Cropping

Run #3Gaussian Noise

Page 10: Robust principal axes determination for point-based shapes

Discussion & Results

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Comparison of major regionsWith/Without Noise

Run #1 Run #2 Run #3

Page 11: Robust principal axes determination for point-based shapes

Discussion & Results

3D Mesh Operations

PCA Computation

Octree Operations

3D Shape Matching

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Problems

Page 12: Robust principal axes determination for point-based shapes

Conclusion

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Shape Noise PCABad

(Shape Matching)

Shape Noise RPCAGood

(Shape Matching)

All points PAs

Major points PAs

Page 13: Robust principal axes determination for point-based shapes

Future Work

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• IN PROGRESS (Not Sure About Results!!)Fixing E2 & E3

• Needs Training !!

• Depends on dataset shapes

Choosing Correct

Parameters

• Iterative Cloud Points

• Transformation Matrix (depends on O & E1)

Shape Matching

Page 14: Robust principal axes determination for point-based shapes

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Page 15: Robust principal axes determination for point-based shapes

Questions?!15