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Visual Geometry with
Deep Learning
Kwang Moo Yi

University of Victoria
Data
Data
!4
“make use of the best ally we have: the
unreasonable effectiveness of data.”
Alon Halevy, Peter Norvig, and Fernando Pereira, The unreasonable effectiveness of data. IEEE
Intelligent Systems, 24(2), 8-12. 2009
Effectiveness of data in deep learning
!5
Sun C, Shrivastava A, Singh S, Gupta A. Revisiting unreasonable effectiveness of data in deep learning
era. InComputer Vision (ICCV), 2017 IEEE International Conference on 2017 Oct 22 (pp. 843-852).
IEEE. Image from arXiv preprint version
MSCOCO PASCAL VOC 2007
Object detection performance
Why is data useful?
!6
“… perhaps when it comes to natural
language processing … will never have
the elegance of physical equations…”
Alon Halevy, Peter Norvig, and Fernando Pereira, The unreasonable effectiveness of data. IEEE
Intelligent Systems, 24(2), 8-12. 2009
Using data
• Learn the limitations of your data

• Understand how data is acquired

• Identify where the mathematical elegance
becomes impractical

• Domain knowledge
Using data
• Learn the limitations of your data

• Understand how data is acquired

• Identify where the mathematical elegance
becomes impractical

• Domain knowledge
Multi-view Geometry
!9
Multi-view Geometry
Hotel Images are in the public domain. Modified to simulate 3D rotation !10
C1
Hotel Images are in the public domain. Modified to simulate 3D rotation
Multi-view Geometry
!11
C1
C2
Hotel Images are in the public domain. Modified to simulate 3D rotation
Multi-view Geometry
!12
C1
C2
Hotel Images are in the public domain. Modified to simulate 3D rotation
How did the camera move?
Multi-view Geometry
!13
Hotel Images are in the public domain. Modified to simulate 3D rotation
Drone image is from parrot. Reproduced for educational purposes.
Multi-view Geometry
!14
Hotel Images are in the public domain. Modified to simulate 3D rotation
Drone image is from parrot. Reproduced for educational purposes.
Multi-view Geometry
!15
Car image is CC0
Camera Pose
!16
[Crivelaro et. al, TPAMI, 2019]
Camera Pose
!17
[Klein and Murray, ISMAR, 2007]
C1
C2
Hotel Images are in the public domain. Modified to simulate 3D rotation
Multi-view Geometry
How did the camera move?
!18
C1
C2
Hotel Images are in the public domain. Modified to simulate 3D rotation
Multi-view Geometry
Find corresponding points and
triangulate!
!19
C1
C2
Hotel Images are in the public domain. Modified to simulate 3D rotation
Multi-view Geometry
Find corresponding points and
triangulate!
!20
C1
C2
Hotel Images are in the public domain. Modified to simulate 3D rotation
Multi-view Geometry
Find corresponding points and
triangulate!
!21
Best tool for matching points across images.
SIFT (Lowe, ICCV’99) started the trend: ~68k citations.
Interest Points
!22
LIFT: Learned Invariant Feature Transform
DET Crop
ORI Rot DESC
LIFT pipeline
SCORE MAP
softargmax
description
vector
!23
Y. Verdie, K.M. Yi, P. Fua, V. Lepetit:
"TILDE: A Temporally Invariant
Learned DEtector", CVPR 2015.
K.M. Yi, Y. Verdie, V. Lepetit,
P. Fua : ”Learning to Assign
Orientations to Feature
Points", CVPR 2016 (Oral)
K.M. Yi, E. Trulls, V. Lepetit, P. Fua:
“LIFT: Learned Invariant Feature
Transform", ECCV 2016 (Spotlight)
Quantitative results
0.165
0.22
SIFT SURF ORB Daisy sGLOH MROGH LIOP BiCE
BRISK FREAK VGG DeepDesc PN-Net KAZE LIFT (pic) LIFT (rf)
0
0.1
0.2
0.3
0.4
Avg. matching score on ‘Strecha’
0
0.08
0.16
0.24
0.32
Avg. matching score on ‘DTU’
0
0.055
0.11
0.165
0.22
Avg. matching score on ‘Webcam’
LIFT with ‘pic’ dataset
LIFT with ‘rf’ dataset
• Best performance on all datasets, with either ‘pic’ or ‘rf’.
• Surprising? SIFT remains #3 overall (#1: ours, #2: VGG).
!24
LF-Net: Inference
!25
LF-Net: Training
!26
Quantitative results on
outdoor scenes
!27
Quantitative results on
outdoor scenes
!28
Simply training for scale
invariance gave best results
Camera Pose?
!29
mAP20degrees
0
0.1
0.2
0.3
0.4
SIFT+RANSAC SIFT+CVPR18 SIFT+arXiv19 LF-Net+arXiV19
TL; DR
• End-to-end pipeline for local feature matching


• Learning with non-differentiable components within Deep Learning

• Tighter formulation —> better performance
!30
TL; DR
• End-to-end pipeline for local feature matching


• Learning with non-differentiable components within Deep Learning

• Tighter formulation —> better performance
!31
Beyond?
Towards practical benchmarks
Beyond
!32
Towards less/no supervision
Towards stable optimization
Towards “active” data acquisition
Towards practical benchmarks
Beyond
!33
Towards less/no supervision
Towards stable optimization
Towards “active” data acquisition
Image Matching: Local Features and Beyond
https://image-matching-workshop.github.io
Vassileios Balntas (Scape), Vincent Lepetit (U. Bordeaux), Johannes Schönberger (Microsoft), Eduard
Trulls (Google), Kwang Moo Yi (U. Victoria)
Image Matching Challenge
!35
The phototourism challenge: Data
36
The phototourism challenge: Data
37
The phototourism challenge: Data
● 25k images in total for training.
● “Quasi” ground truth data is generated by
performing SfM with COLMAP with all
images.
○ Assumption: Images registered in
COLMAP are accurate given enough
images.
● Valid pairs are generated via simple visibility
check.
38
The phototourism challenge: Data
● 4k images in total for testing.
● Random bags of images are
subsampled to form test subsets
(size: 3, 5, 10, 25).
39
The phototourism challenge: local features
Hotel Images are in the public domain. Modified to simulate 3D rotation
● Submission: Features
● IMW evaluates them via a typical
stereo/SfM pipeline
○ Nearest neighbor matching
○ 1-to-1 matching
○ RANSAC_F
○ COLMAP
40
The phototourism challenge: matches
Hotel Images are in the public domain. Modified to simulate 3D rotation
● Submission: Features + Matches
● IMW evaluates them via a typical
stereo/SfM pipeline
○ Nearest neighbor matching
○ 1-to-1 matching
○ RANSAC_F
○ COLMAP
41
The phototourism challenge: poses
Hotel Images are in the public domain. Modified to simulate 3D rotation
● Submission: Poses
● IMW evaluates them via a typical
stereo/SfM pipeline
○ Nearest neighbor matching
○ 1-to-1 matching
○ RANSAC_F
○ COLMAP
42
Improving with descriptors (multi-view task)
+12%
+23%
+26% +28%
+30% +32%
Full results: https://image-matching-workshop.github.io/leaderboard 43
Improving with matching (multi-view task)
+11%
+37%
+14%
+35%
SuperPoint: Self-Supervised Interest Point Detection and Description. DeTone et al., 2018.
ContextDesc: Local Descriptor Augmentation with Cross-Modality Context. Luo et al., CVPR'19
Learning to Find Good Correspondences. Yi et al., CVPR'18
44
End-to-end pipelines
SuperPoint: Self-Supervised Interest Point Detection and Description. DeTone et al., 2018.
D2-Net: A Trainable CNN for Joint Detection and Description of Local Features. Dusmanu et al., CVPR'19 45
Image Matching: Local Features and Beyond
https://image-matching-workshop.github.io
Vassileios Balntas (Scape), Vincent Lepetit (U. Bordeaux), Johannes Schönberger (Microsoft), Eduard
Trulls (Google), Kwang Moo Yi (U. Victoria)
Towards practical benchmarks
Beyond
!47
Towards less/no supervision
Towards stable optimization
Towards “active” data acquisition
Towards practical benchmarks
Beyond
!48
Towards less/no supervision
Towards stable optimization
Towards “active” data acquisition
LF-Net: Inference
!49
LF-Net: Inference
Image-level Scale-space Heatmap Learning
!50
LF-Net: Inference
Image-level Scale-space Heatmap Learning
Extract top-K patches
!51
LF-Net: Inference
Back propagation breaks
Extract top-K patches
!52
LF-Net: Training
!53
Back propagation until here
LF-Net: Training
!54
LF-Net: Training
!55
Back prop. with

results from other branch
LF-Net: Training
!56
Apply score map cleaning, etc. 

(traditional heuristics)
LF-Net: Training
!57
Can we simply back propagate without
requiring the second branch?
!58
[Angles et. al, arXiv, 2019]
MIST
Multiple Instance Spatial Transformer Networks
Learning to localize & understand is easy when there are
only single instances of the object in the scene
!59
[Angles et. al, arXiv, 2019]
MIST
Multiple Instance Spatial Transformer Networks
Non-trivial when multiple instances exist
!60
[Angles et. al, arXiv, 2019]
MIST
Multiple Instance Spatial Transformer Networks
Non-trivial when multiple instances exist
Key Idea
Lifting via slack variable
!61
!62
[Angles et. al, arXiv, 2019]
MIST
Multiple Instance Spatial Transformer Networks
!63
[Angles et. al, arXiv, 2019]
MIST
Multiple Instance Spatial Transformer Networks
Lifting the optimization to circumvent top-K
!64
[Angles et. al, arXiv, 2019]
MIST
Multiple Instance Spatial Transformer Networks
Treat intermediate heatmap as slack variable
!65
[Angles et. al, arXiv, 2019]
MIST
Multiple Instance Spatial Transformer Networks
Back propagate in two stages
!66
[Angles et. al, arXiv, 2019]
MIST
Multiple Instance Spatial Transformer Networks
Learning digits with supervision on “number of things”
!67
[Angles et. al, arXiv, 2019]
MIST
Multiple Instance Spatial Transformer Networks
Learning basis kernel with supervision on “number of things”
!68
[Angles et. al, arXiv, 2019]
MIST
Multiple Instance Spatial Transformer Networks
Learning to find digits without locational supervision
!69
[Angles et. al, arXiv, 2019]
MIST
Multiple Instance Spatial Transformer Networks
!70
[Angles et. al, arXiv, 2019]
MIST
Multiple Instance Spatial Transformer Networks
Better than with supervision?!
!71
[Angles et. al, arXiv, 2019]
MIST
Multiple Instance Spatial Transformer Networks
Back propagate in two stages
Towards practical benchmarks
Beyond
!72
Towards less/no supervision
Towards stable optimization
Towards “active” data acquisition
Towards practical benchmarks
Beyond
!73
Towards less/no supervision
Towards stable optimization
Towards “active” data acquisition
!74
[Jiang et. al, arXiv, 2019]
Linearized Multi-Sampling
Bilinear sampling Our method
Visualization of gradients w.r.t. crop location. 

Should point towards centre.
!75
[Jiang et. al, arXiv, 2019]
Linearized Multi-Sampling
!76
[Jiang et. al, arXiv, 2019]
Linearized Multi-Sampling
Key Idea
Linearize
!77
!78
[Jiang et. al, arXiv, 2019]
Linearized Multi-Sampling
!79
[Jiang et. al, arXiv, 2019]
Linearized Multi-Sampling
Intensities
!80
[Jiang et. al, arXiv, 2019]
Linearized Multi-Sampling
Intensities
Coordinates
!81
[Jiang et. al, arXiv, 2019]
Linearized Multi-Sampling
Intensities
Coordinates
Plane equation — dY/DX
!82
[Jiang et. al, arXiv, 2019]
Linearized Multi-Sampling
Intensities
Coordinates
Plane equation — dY/DX
!83
[Jiang et. al, arXiv, 2019]
Linearized Multi-Sampling
Qualitative Highlights: Image alignment
Blue: bounding-box of the target region
Red: bounding-box from bilinear sampling
Green: bounding-box from our method
Target image
Bilinear sampling [14]Our method
[Jiang et. al, arXiv, 2019]
Qualitative Highlights: Image alignment
Blue: bounding-box of the target region
Red: bounding-box from bilinear sampling
Green: bounding-box from our method
Target image
Bilinear sampling [14]Our method
[Jiang et. al, arXiv, 2019]
Qualitative Highlights: Image alignment
Blue: bounding-box of the target region
Red: bounding-box from bilinear sampling
Green: bounding-box from our method
Target image
Bilinear sampling [14]Our method
[Jiang et. al, arXiv, 2019]
!87
[Jiang et. al, arXiv, 2019]
Linearized Multi-Sampling
!88
[Jiang et. al, arXiv, 2019]
Linearized Multi-Sampling
!89
[Jiang et. al, arXiv, 2019]
Linearized Multi-Sampling
Towards practical benchmarks
Beyond
!90
Towards less/no supervision
Towards stable optimization
Towards “active” data acquisition
Towards practical benchmarks
Beyond
!91
Towards less/no supervision
Towards stable optimization
Towards “active” data acquisition
Using data
• Learn the limitations of your data

• Understand how data is acquired

• Identify where the mathematical elegance
becomes impractical

• Domain knowledge
Using data
• Learn the limitations of your data

• Understand how data is acquired

• Identify where the mathematical elegance
becomes impractical

• Domain knowledge
Using data
• Learn the limitations of your data

• Understand how data is acquired

• Identify where the mathematical elegance
becomes impractical

• Domain knowledge
Magnetic Resonance Imaging
!96
fixed
sampling
Reconstruction
acquisitions
FT-1
…
sampling
randomly
chosen
Learned from data
!97
[Jin et. al, arXiv, 2019]
Accelerated MRI(Reconstructed)
Image
Residual
Samplingpattern
inFourierSpace
Magnetic Resonance Imaging
!98
fixed
sampling
Reconstruction
acquisitions
FT-1
…
sampling
randomly
chosen
Learned from data
Magnetic Resonance Imaging
!99
fixed
sampling
Reconstruction
acquisitions
FT-1
…
sampling
randomly
chosen
Learned from data
!100
[Jin et. al, arXiv, 2019]
Accelerated MRI(Reconstructed)
Image
Residual
Samplingpattern
inFourierSpace
!101
[Jin et. al, arXiv, 2019]
Accelerated MRI
Learning
both to
acquire
data and
use data
(Reconstructed)
Image
Residual
Samplingpattern
inFourierSpace
Magnetic Resonance Imaging
!102
fixed
sampling
Reconstruction
acquisitions
FT-1
…
sampling
randomly
chosen
Magnetic Resonance Imaging
!103
fixed
sampling
Reconstruction
acquisitions
FT-1
…
sampling
randomly
chosen
Sampler
(Deep Net)
Magnetic Resonance Imaging
!104
acquisitions
FT-1
…
sampling
randomly
chosen
Sampler
(Deep Net)
Reconstrutor
(Deep Net)
Magnetic Resonance Imaging
!105
acquisitions
FT-1
…
sampling
randomly
chosen
Sampler
(Deep Net)
Reconstrutor
(Deep Net)
Non-differentiable
Key Idea
Self supervision
Reinforcement Learning
!106
Key Idea
!107
!108
[Jin et. al, arXiv, 2019]
Accelerated MRI
Progressive sampling
Decompose & Simplify

• ReconNet learns to
reconstruct

• SampleNet learns to predict
the next best sample position
!109
[Jin et. al, arXiv, 2019]
Accelerated MRI
Self-supervision through MCTS 

with implicit minimax
Enhance via Self-supervision

• MCTS provides better
direction

• Supervision to improve, not
ground-truth
!110
[Jin et. al, arXiv, 2019]
Accelerated MRI
Progressive sampling
Self-supervision through MCTS 

with implicit minimax
!111
[Jin et. al, arXiv, 2019]
Accelerated MRI
Performs best when using both components of our method together.
!112
[Jin et. al, arXiv, 2019]
Accelerated MRI
When reconstructing vis simple zero filling inverse Fourier
Transform, learned sampling does not perform well.
Performs best when using both components of our method together.
!113
[Jin et. al, arXiv, 2019]
Accelerated MRI
When reconstructing vis simple zero filling inverse Fourier
Transform, learned sampling does not perform well.
Performs best when using both components of our method together.
Neither does the learned reconstruction when used with 

other sampling patterns.
!114
[Jin et. al, arXiv, 2019]
Accelerated MRI
When reconstructing vis simple zero filling inverse Fourier
Transform, learned sampling does not perform well.
Neither does the learned reconstruction when used with 

other sampling patterns.
Performs best when using both components of our method together.
!115
Accelerated MRI
[Jin et. al, arXiv, 2019]
(Reconstructed)
Image
Residual
Samplingpattern
inFourierSpace
Accelerated MRI
[Jin et. al, arXiv, 2019]
(Reconstructed)
Image
Residual
Samplingpattern
inFourierSpace
!116
!117
[Jin et. al, arXiv, 2019]
Accelerated MRI
Progressive sampling
Self-supervision through MCTS 

with implicit minimax
Towards practical benchmarks
Beyond
!118
Towards less/no supervision
Towards stable optimization
Towards “active” data acquisition
Data
!119
“make use of the best ally we have: the
unreasonable effectiveness of data.”
Alon Halevy, Peter Norvig, and Fernando Pereira, The unreasonable effectiveness of data. IEEE
Intelligent Systems, 24(2), 8-12. 2009
Thank you!
People behind our research (in the order of appearance)
Code and Datasets: https://github.com/vcg-uvic

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