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Computer Graphics Lecture Notes

Computer Graphics Lecture Notes CSC418 / CSCD18 / CSC2504. Computer Science Department University of Toronto Version: November 24, 2006. Copyright c 2005 David Fleet and Aaron Hertzmann CSC418 / CSCD18 / CSC2504 CONTENTS. Contents Conventions and Notation v 1 Introduction to Graphics 1. Raster Displays .. 1. Basic Line Drawing .. 2. 2 Curves 4. Parametric Curves .. 4. Tangents and Normals .. 6. Ellipses .. 7. Polygons .. 8. Rendering Curves in OpenGL .. 8. 3 Transformations 10. 2D Transformations .. 10. Affine Transformations .. 11. Homogeneous Coordinates .. 13. Uses and Abuses of Homogeneous Coordinates .. 14. Hierarchical Transformations .. 15. Transformations in OpenGL .. 16. 4 Coordinate Free Geometry 18. 5 3D Objects 21. Surface Representations.

Affine transformations. An important case in the previous section is applying an affin e trans-′′ ′′ ′′ ′

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