Lecture 12 - Stanford Vision Lab

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The Need for Invariance• Up to now, we had invariance to– Translation– Scale– Rotation• Not sufficient to match regions under viewpoint changes– For this, we need also affine adaptationSlide credit: Tinne TuytelaarsFei-Fei LiLecture 12 -65‐Nov‐11
• Problem:Affine Adaptation– Determine the characteristic shape of the region.– Assumption: shape can be described by “local affine frame”.• Solution: iterative approach– Use a circular window to compute second moment matrix.– Compute eigenvectors to adapt the circle to an ellipse.– Recompute second moment matrix using new window and iterate…Slide adapted from Svetlana LazebnikFei-Fei LiLecture 12 -75‐Nov‐11
Page 1 and 2: Lecture 12:Local Descriptors, SIFT&
Page 3: Local Descriptors• We know how to
Page 8 and 9: Iterative Affine Adaptation1. Detec
Page 10 and 11: Affine Adaptation ExampleScale‐in
Page 12: Summary: Affine‐Inv. Feature Extr
Page 17 and 18: Feature Descriptors: SIFT• Scale
Page 19: Working with SIFT Descriptors• On
Page 22 and 23: Other local descriptors:Steerable f
Page 24 and 25: Other local descriptors:GLOHFei-Fei
Page 26 and 27: Other local descriptors:Geometric B
Page 28 and 29: http://www.robots.ox.ac.uk/~vgg/res
Page 30 and 31: What we will learn today• Local d
Page 32 and 33: Finding Consistent Configurations
Page 34 and 35: 3D Object Recognition• Gen. Hough
Page 36 and 37: Recognition Using View Interpolatio
Page 38 and 39: What we will learn today• Local d
Page 40 and 41: Introduction• Are you getting the
Page 42 and 43: Why “Recognising Panoramas”?•
Page 48 and 49: Why “Recognising Panoramas”?Sli
Page 50 and 51: Nearest Neighbor Matching of SIFT F
Page 52 and 53: Slide credit: Matthew BrownFei-Fei
Page 54 and 55: Slide credit: Matthew BrownFei-Fei
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Probabilistic model for verificatio
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Slide credit: Matthew BrownFei-Fei
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Error function• Sum of squared pr
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Bundle Adjustment• New images ini
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Multi‐band Blending• Burt & Ade
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Linear BlendingFei-Fei LiLecture 12
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Applications of Local Invariant Fea
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Recognition of Specific Objects, Sc
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References and Further Reading• M
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Supplementary materials• Matching
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Alignment Problem• We have previo
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What Can be Represented by a 22 Mat
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2D Linear Transformsx ' a bxy' c
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2D Affine Transformationx' ay' d
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Fitting an Affine Transformation•
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Fitting a Projective Transformation
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Uses: Analyzing Patterns and Shapes
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Lecture 12 - Stanford Vision Lab

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