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Graphics Programming

Graphics Programming. Byung-Gook Lee Dongseo Univ. http://kowon.dongseo.ac.kr/~lbg/. Professor. Room UIT208 NM801 lbg@dongseo.ac.kr http://kowon.dongseo.ac.kr/~lbg 320-1727, 010-9331-1453 Office hours Wed /Fri 13:00pm -16:00pm. Grading evaluation criteria.

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Graphics Programming

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  1. Graphics Programming Byung-Gook Lee Dongseo Univ. http://kowon.dongseo.ac.kr/~lbg/ Graphics Programming, Byung-Gook Lee, Dongseo Univ., E-mail:lbg@dongseo.ac.kr

  2. Graphics Programming, Byung-Gook Lee, Dongseo Univ., E-mail:lbg@dongseo.ac.kr

  3. Professor • Room UIT208 NM801 • lbg@dongseo.ac.kr • http://kowon.dongseo.ac.kr/~lbg • 320-1727, 010-9331-1453 • Office hours Wed/Fri 13:00pm -16:00pm Graphics Programming, Byung-Gook Lee, Dongseo Univ., E-mail:lbg@dongseo.ac.kr

  4. Grading evaluation criteria • Attendance, Participation and Creativity = 20% • 1 Projects = 30% correctness (40%), efficiency (20%), elegance (20%), originality (20%). • 2 Exams = 50% Graphics Programming, Byung-Gook Lee, Dongseo Univ., E-mail:lbg@dongseo.ac.kr

  5. Text & References • Text : Focus on Curves and Surfaces, Kelly Dempski, GameDev.Net • Ref. 1 : OpenGL SuperBible 2ed, Richard S. Wright. Jr. Michael Sweet, Waite Group Press. • Ref. 2 : Interactive Computer Graphics a top-down approach with OpenGL 2ed, Edward Angel, Addison Wesley. • Ref. 3 : Curves and Surfaces for Computer Aided Geometric Design, Gerald Farin, Academic Press Graphics Programming, Byung-Gook Lee, Dongseo Univ., E-mail:lbg@dongseo.ac.kr

  6. References • Ref. 4 : The NURBS book, Les Piegl and Wayne Tiller, Springer • Ref. 5 : Spline Methods Drafts, Tom Lyche and Knut Morken • Ref. 6 : Computer Graphics & Geometric Modeling, Davis Salomon, Springer • Software : Visual C++ with OpenGL • Prepare Files http://kowon.dongseo.ac.kr/~lbg/cagd/ Graphics Programming, Byung-Gook Lee, Dongseo Univ., E-mail:lbg@dongseo.ac.kr

  7. Computer Graphics The generation of graphical output using a computer • by developing software to accomplish the task • by using pre-existing application software like Photoshop, 3D Studio Max, Maya, … Graphics Programming, Byung-Gook Lee, Dongseo Univ., E-mail:lbg@dongseo.ac.kr

  8. Computer Graphics • Modeling • Animation • Rendering Graphics Programming, Byung-Gook Lee, Dongseo Univ., E-mail:lbg@dongseo.ac.kr

  9. Modeling • The creation of mathematical models of 2D and 3D objectsin the 3D environment of a computer. Graphics Programming, Byung-Gook Lee, Dongseo Univ., E-mail:lbg@dongseo.ac.kr

  10. Animation • Topics include traditional principles of animation, kinematic and dynamic modeling techniques, physical simulation, procedural methods, and motion capture based animation. Graphics Programming, Byung-Gook Lee, Dongseo Univ., E-mail:lbg@dongseo.ac.kr

  11. Rendering • These models, starting as a wire frame model, are digitally wrapped with textures and rendered with reflections, transparencies, and shadows to give a photo-realistic view of the object or building. Graphics Programming, Byung-Gook Lee, Dongseo Univ., E-mail:lbg@dongseo.ac.kr

  12. Web 3D • VRML • Java3D • Cult3D • Shout3D • NeMoWeb • Lightwave Graphics Programming, Byung-Gook Lee, Dongseo Univ., E-mail:lbg@dongseo.ac.kr

  13. CAGD Computer Aided Geometric Design • interpolation • spline • bezier • B-spline • NURBS • subdivision • simplification • parametrization CAGD is a branch of applied mathematics concerned with algorithms for the design of smooth curves and surfaces and for their efficients mathematical representation. Graphics Programming, Byung-Gook Lee, Dongseo Univ., E-mail:lbg@dongseo.ac.kr

  14. Affine combination • Linear combinations • Affine(Barycentric) combinations • Convex combinations • Barycentric coordinates Graphics Programming, Byung-Gook Lee, Dongseo Univ., E-mail:lbg@dongseo.ac.kr

  15. Affine combination Euclidean coordinate system Coordinate-free system Graphics Programming, Byung-Gook Lee, Dongseo Univ., E-mail:lbg@dongseo.ac.kr

  16. Polynomial interpolation Graphics Programming, Byung-Gook Lee, Dongseo Univ., E-mail:lbg@dongseo.ac.kr

  17. General polynomial Interpolation • Lagrange polynomials Graphics Programming, Byung-Gook Lee, Dongseo Univ., E-mail:lbg@dongseo.ac.kr

  18. Examples of cubic interpolation Graphics Programming, Byung-Gook Lee, Dongseo Univ., E-mail:lbg@dongseo.ac.kr

  19. Bezier • Paul de Faget de Casteljau, Citroen, 1959 • Pierre Bezier, Renault, UNISUF system, 1962 • A.R. Forrest, Cambridge, 1970 Graphics Programming, Byung-Gook Lee, Dongseo Univ., E-mail:lbg@dongseo.ac.kr

  20. Bezier Graphics Programming, Byung-Gook Lee, Dongseo Univ., E-mail:lbg@dongseo.ac.kr

  21. Representation Bezier Graphics Programming, Byung-Gook Lee, Dongseo Univ., E-mail:lbg@dongseo.ac.kr

  22. Properties of Bezier • Affine invariance • Convex hull property • Endpoint interpolation • Symmetry • Linear precision • Pseudo-local control Graphics Programming, Byung-Gook Lee, Dongseo Univ., E-mail:lbg@dongseo.ac.kr

  23. Bezier Degree Reduction Graphics Programming, Byung-Gook Lee, Dongseo Univ., E-mail:lbg@dongseo.ac.kr

  24. Spline curve • J.Ferguson , Boeing Co., 1963 • C.de Boor, W.Gordon, General Motors, 1963 • to interpolate given data • piecewise polynomial curves with certain differentiability constraints • not to design free form curves Graphics Programming, Byung-Gook Lee, Dongseo Univ., E-mail:lbg@dongseo.ac.kr

  25. Piecewise cubic hermite interpolation Graphics Programming, Byung-Gook Lee, Dongseo Univ., E-mail:lbg@dongseo.ac.kr

  26. Cubic spline interpolation Graphics Programming, Byung-Gook Lee, Dongseo Univ., E-mail:lbg@dongseo.ac.kr

  27. Natural boundary condition Graphics Programming, Byung-Gook Lee, Dongseo Univ., E-mail:lbg@dongseo.ac.kr

  28. B-spline • C. de Boor, 1972 • W. Gordon, Richard F. Riesenfeld, 1974 • Larry L. Schumaker • Tom Lyche • Nira Dyn • Cohen Graphics Programming, Byung-Gook Lee, Dongseo Univ., E-mail:lbg@dongseo.ac.kr

  29. B-spline Graphics Programming, Byung-Gook Lee, Dongseo Univ., E-mail:lbg@dongseo.ac.kr

  30. Linear splines Graphics Programming, Byung-Gook Lee, Dongseo Univ., E-mail:lbg@dongseo.ac.kr

  31. Quadratic splines Graphics Programming, Byung-Gook Lee, Dongseo Univ., E-mail:lbg@dongseo.ac.kr

  32. Quadratic splines Graphics Programming, Byung-Gook Lee, Dongseo Univ., E-mail:lbg@dongseo.ac.kr

  33. Representation splines Graphics Programming, Byung-Gook Lee, Dongseo Univ., E-mail:lbg@dongseo.ac.kr

  34. Cubic splines Graphics Programming, Byung-Gook Lee, Dongseo Univ., E-mail:lbg@dongseo.ac.kr

  35. Spline problems • Degree Elevation • Degree Reduction • Knot Insertion • Knot Deletion Graphics Programming, Byung-Gook Lee, Dongseo Univ., E-mail:lbg@dongseo.ac.kr

  36. Subdivision schemes Graphics Programming, Byung-Gook Lee, Dongseo Univ., E-mail:lbg@dongseo.ac.kr

  37. Subdivision Surfaces Graphics Programming, Byung-Gook Lee, Dongseo Univ., E-mail:lbg@dongseo.ac.kr

  38. Subdivision Surfaces Tony Derose Pixar Animation Studios Geri’s game Graphics Programming, Byung-Gook Lee, Dongseo Univ., E-mail:lbg@dongseo.ac.kr

  39. Quasi-interpolants Graphics Programming, Byung-Gook Lee, Dongseo Univ., E-mail:lbg@dongseo.ac.kr

  40. Polygonal Simplification Graphics Programming, Byung-Gook Lee, Dongseo Univ., E-mail:lbg@dongseo.ac.kr

  41. Multiresolution Graphics Programming, Byung-Gook Lee, Dongseo Univ., E-mail:lbg@dongseo.ac.kr

  42. Parametrization parameterization with fixed boundary 3D mesh Graphics Programming, Byung-Gook Lee, Dongseo Univ., E-mail:lbg@dongseo.ac.kr

  43. Texture Mapping Graphics Programming, Byung-Gook Lee, Dongseo Univ., E-mail:lbg@dongseo.ac.kr

  44. Image Compression Graphics Programming, Byung-Gook Lee, Dongseo Univ., E-mail:lbg@dongseo.ac.kr

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