PPT-Projective geometry: what’s it good for?

1 Uses of projective geometry Drawing and art Measurements Mathematics for projection Fixing distorted images Camera pose estimation Generating 3D models from 2D images Object recognition. Lutetia. PDS/PSA Data Review. Kurt Retherford. Datasets Reviewed. RO-A/CAL-ALICE-2-AST2-V1.0. RO-A/CAL-ALICE-3-AST2-V1.0. RO-A/CAL-ALICE-4-AST2-V1.0. Review Conclusions. Data are ready to be released after minor RIDs are addressed (no delta-review needed). – Meyniel’s conjecture. Dr. Anthony Bonato. Ryerson University. AM8002. Fall . 2014. How big can the cop number be?. if G is disconnected of order n, then we can have c(G) = n (example?). c(n) = maximum cop number of a . Jiecai. He (Jake). One thing to take away from this presentation:. two parallel lines meet at a point at infinity In Projective Geometry. The grand problem. The left image is with perspective distortion – the lines of the windows clearly converge to a finite point. How to fix it ?. Ernest Davis. Csplash. April 26, 2014. Pappus. ’ theorem:. Draw two lines. Draw red, green, and blue points on each line. .. Connect all pairs of points with different colors.. A = crossing of two red-green lines. B = crossing of red-blues. C=crossing of green-blues.. By Aaron Walker Wagner. Geometry. . Finite Geometry . . Projective Planes. . Finite Projective Planes. Definitions. Projective Plane . It is a geometric structure. It contains a set of lines (not necessarily straight), a set of points, and a relation between the lines and points called incidence . A taste of projective geometry. Introduction to Computer Vision. Ronen Basri. Weizmann Institute of Science. Summery of last lecture. Pinhole camera model, perspective projection. Scaled orthographic . Topics in Discrete Mathematics. Week 9 – Meyniel’s conjecture. Dr. Anthony Bonato. Ryerson University. Ryerson Mathematics . Winter . 2016. How big can the cop number be?. if G is disconnected of order n, then we can have c(G) = n (example?). Projective GeometryEuclidean versus Projective GeometrynEuclidean geometry describes shapes “as they are”–Properties of objects that are unchanged by rigid motionsProjective geometry de 1. , Yoichi Sato. 2. , Yung-Yu Chuang. 1. 1. National Taiwan University . 2. The University of Tokyo. Shape-Preserving Half-Projective Warps for Image Stitching. Image stitching. 2. 3. 4. Geometric transformation. Cross-ratios. Two-view projective SFM. . Multi-view geometry. . More projective SFM. Planches . :. http://www.di.ens.fr/~. ponce/geomvis/lect4.pptx. . http://www.di.ens.fr/~ponce/geomvis/lect4.pdf. ARM Research. 9. . Unification. Euclidean geometry. L9 . S. 2. Represent the Euclidean point . x. by null vectors. Distance is given by the inner product. Read off the Euclidean vector. D. epends on the concept of the origin. Single point of fixation where optical axes intersect. Optical axes parallel (fixation at infinity). General case. Epipolar geometry for cameras in general position. Epipolar geometry for cameras in general position. Chapter 11 . 3D Vision, Geometry. Topics:. Basics of projective geometry. Points and hyperplanes in projective space. Homography. Estimating . homography. from point . correspondence. The single perspective camera. projektīvo. ģeometriju viedo automobiļu drošības sistēmās. Search . Space Reduction in Pedestrian Detection for Driver Assistance System Based on Projective . Geometry. 利. 用投影幾何減少駕駛輔助系統中行人偵測之搜尋空間.