Multiple View Geometry in Computer VisionMultiple View GeometryCourse objectivesApplicationsApplicationsContentAdministrationRelevant textbooksMultiple View Geometry in Computer VisionMultiple View GeometryabcA(a,b)→ A(a,b)→ cf(a,b,c)=0abc(a,b,c)→ (a,b,c)reconstruct geometry of scenecalibrate camerasTransfer an image point from one camera to the otherCourse objectives• To understand the geometric relations between multiple views of scenes. • To understand the general principles of parameter estimation.• To be able to compute scene and camera properties from real world images using state-of-the-art algorithms.Applications• MatchMoving In cinematography, match moving is a visual-effects technique that allows the insertion of computer graphics into live-action footage with correct position, scale, orientation, and motion relative to the photographed objects in the shot. Compute camera motion from video (to register real and virtual object motion )Applications• 3D modelingContent• Background: Projective geometry (2D, 3D), Parameter estimation, Algorithm evaluation.• Single View: Camera model, Calibration, Single View Geometry.• Two Views: Epipolar Geometry, 3D reconstruction, Computing F, Computing structure, Plane and homographies.• Three Views: Trifocal Tensor, Computing T.• More Views: N-Linearities, Multiple view reconstruction, Bundle adjustment, auto- calibration, Dynamic SfM, Cheirality, DualityAdministration• Office hours: Tuesdays 11 to 12• Grades:• 10% class participation• 20% Matlab homeworks (pending on finding a grader)• 70% project• Proposals due 4 weeks into the semester• Mid term progress report 8 weeks into the semester• Final report and presentation: end of the semesterRelevant textbooks• Computer Vision: A modern approach by Forsyth and Ponce• Multiple view geometry in computer vision by Hartley and Zisserman• An invitation to 3-D Vision; from images to Geometric models by Ma, Soatto, Kosecka and Sastry• The geometry of multiple images by Faugeras and Luong• Introductory techniques for 3D computer vision by Trucco and Verri• Marc Polleyfeys tutorial on 3D reconstruction•
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