UNC-Chapel Hill COMP 790 - 3D Urban Modeling (45 pages)

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3D Urban Modeling



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3D Urban Modeling

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Lecture Notes


Pages:
45
School:
University of North Carolina at Chapel Hill
Course:
Comp 790 - Topics in Computer Science

Unformatted text preview:

3D Urban Modeling Marc Pollefeys Jan Michael Frahm Philippos Mordohai Fall 2006 Comp 790 089 Tue Thu 14 00 15 15 3D Urban Modeling Basics sensor techniques Video LIDAR GPS IMU SfM Stereo Robot Mapping GIS Review state of the art Video and LIDAR based systems Projects to experiment Virtual UNC Chapel Hill DARPA Urban Challenge 3D Urban Modeling course schedule tentative Sep 5 7 Sep 12 14 Introduction Video based Urban 3D Capture Cameras Sep 19 21 Sep 26 28 Project proposals Oct 3 5 Oct 10 12 Oct 17 19 Oct 24 26 fall break Project Status Update Oct 31 Nov 2 Nov 7 9 Nov 14 16 Nov 21 23 Thanksgiving Nov 28 30 Dec 5 Project demonstrations Note Dec 3 is CVPR deadline classes ended Course material Slides notes papers and references see course webpage wiki later On line shape from video tutorial http www cs unc edu marc tutorial pdf http www cs unc edu marc tutorial Geometry primer Incidence of point and line Incidence of point and plane T X 0 l T x 0 Joins Joins x l l l x x T 1 T 2 T 3 X 0 X X X T 1 T 2 T 3 Conics and dual conics Conics and dual conics x T C x 0 X T QX 0 l T C l 0 C C 1 0 T Q 0 Q Q 1 Geometry primer Transformation for points Transformation for points x H x X H X Transformation for lines Transformation for planes H T l H l T Transformation for conics C H CH T 1 Transformation for dual conics C HC H T Transformation for quadrics Q H QH T 1 Transformation for dual quadrics Q HQ H T Geometry primer Hierarchy of 2D transformations Projective 8dof Affine 6dof Similarity 4dof Euclidean 3dof h11 h12 h13 h h h 23 21 22 h31 h32 h33 a11 a12 t x a a t 22 y 21 0 0 1 sr11 sr12 t x sr sr t 21 22 y 0 0 1 r11 r 21 0 r12 r22 0 tx t y 1 transformed squares invariants Concurrency collinearity order of contact intersection tangency inflection etc cross ratio Parallellism ratio of areas ratio of lengths on parallel lines e g midpoints linear combinations of vectors centroids The line at infinity l Ratios of lengths angles The circular points I J lengths areas Geometry primer



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