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Stanford CS223B Computer Vision, Winter 2005 Lecture 1 Intro and Image Formation
Sebastian Thrun, Stanford Rick Szeliski, Microsoft Hendrik Dahlkamp, Stanford
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Today’s Goals Learn about CS223b Get Excited about Computer Vision
Learn about Image Formation (tbc)
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Administrativa Time and Location Web site Class newsgroup (discussion)
Tue/Thu 1:15-2:35, Gates B03 SCPD Televised (Live on Channel E5) Web site Class list (announcements only) Class newsgroup (discussion) su.class.cs223b (server: news.stanford.edu)
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People Involved You! (63 students) Me! Rick Szeliski, Microsoft
Hendrik Dahlkamp:
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The Text
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Course Overview Basics 3D Reconstruction Motion
Image Formation and Camera Calibration Image Features 3D Reconstruction Stereo Image Mosaics Motion Optical Flow Structure From Motion Tracking Object detection and recognition Grouping Detection Segmentaiton Classification
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Course Outline
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Goals To familiarize you with basic the techniques and jargon in the field To enable you to solve computer vision problems To let you experience (and appreciate!) the difficulties of real-world computer vision To get you excited!
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Requirements Attend + participate in all classes except at most two
Turn in all assignments (even if for zero credit) Pass the midterm exam Successfully carry out research project Jan 31: selection Feb 14: Interim report March 8/10: Class presentation March 15: Final report No exceptions!
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Grading Criteria 10% Participation 30% Assignments 30% Midterm exam
30% Project (35% of all students received an A in CS223b-04)
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Today’s Goals Learn about CS223b Get Excited about Computer Vision
Learn about image formation (tbc)
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Computer Graphics Output Image Model Synthetic Camera
(slides courtesy of Michael Cohen)
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Computer Vision Output Model Real Scene Real Cameras
(slides courtesy of Michael Cohen)
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Combined Output Image Model Real Scene Synthetic Camera Real Cameras
(slides courtesy of Michael Cohen)
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Example 1:Stereo See
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Example 2: Structure From Motion
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Example 3: 3D Modeling
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Example 4: Classification
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Example 4: Classification
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Example 5: Detection and Tracking
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Example 6: Optical Flow David Stavens, Andrew Lookingbill, David Lieb, CS223b Winter 2004
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Example 7: Learning Demo: Dirt Road
Andrew Lookingbill, David Lieb, CS223b Winter 2004
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Example 8: Human Vision
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Example 8: Human Vision
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Excited Yet?
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Computer Vision [Trucco&Verri’98]
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Today’s Goals Learn about CS223b Get Excited about Computer Vision
Learn about image formation (tbc)
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Topics Pinhole Camera Orthographic Projection Perspective Camera Model
Weak-Perspective Camera Model
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Pinhole Camera -- Brunelleschi, XVth Century
“shards of diamond” – those little pieces of beautiful truth scattered about. -- Brunelleschi, XVth Century *many slides in this lecture from Marc Pollefeys comp256, Lect 2
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Perspective Projection
Derive the perspective equations on notes page 1.1 A “similar triangle’s” approach to vision. Notes 1.1 Marc Pollefeys
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Perspective Projection
X x -x Z f
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Consequences: Parallel lines meet
There exist vanishing points Marc Pollefeys
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Vanishing points Different directions correspond
VPL VPR VP1 VP2 Different directions correspond to different vanishing points VP3 Marc Pollefeys
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The Effect of Perspective
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Implications For Perception*
Same size things get smaller, we hardly notice… Parallel lines meet at a point… * A Cartoon Epistemology:
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Perspective Projection
X -x Z f
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Weak Perspective Projection
Z O -x Z Z f
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Generalization of Orthographic Projection
When the camera is at a (roughly constant) distance from the scene, take m=1. Marc Pollefeys
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Pictorial Comparison Weak perspective Perspective Marc Pollefeys
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Summary: Perspective Laws
Weak perspective Orthographic
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Limits for pinhole cameras
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