TAILIEUCHUNG - Lecture Computer graphics - Chapter 4: Using Transformations in OpenGL

This chapter presents the following content: What is a transformation? How are transforms represented? Affine transformations, composing transforms, 3D rotations, geometric interpretation 3D rotations, homogeneous coordinates,. | Transformations 1 10/14/2013 An Interactive Introduction to OpenGL Programming 1 What is a Transformation? Maps points (x, y) in one coordinate system to points (x', y') in another coordinate system x' = ax+ by + c y' = dx+ ey+ f Simple Transformations can be combined 10/14/2013 2 Transformations are used Position objects in a scene (modeling) Change the shape of objects Create multiple copies of objects Projection for virtual cameras Animations 10/14/2013 3 How are Transforms Represented? Biểu diễn dưới dạng ma trận p' = M p + t 4 10/14/2013 2D transformations 10/14/2013 5 Affine Transformations Want transformations which preserve geometry lines, polygons, quadrics Affine = line preserving Rotation, translation, scaling Projection Concatenation (composition) 6 10/14/2013 An Interactive Introduction to OpenGL Programming 6 The transformations supported by OpenGL are a special class that is important for graphical applications and for problems in science and engineering. In particular,

• Đồ họa - Thiết kế - Flash
• Computer graphics
• Đồ họa máy tính
• Lecture Computer graphics
• OpenGL programming
• Đồ họa 2D
• 2D transformations
• Interactive computer graphics
• Interactive computer
• A graphics system
• Graphics system
• Graphics programming
• Bài giảng Đồ họa máy tính
• Graphics systems
• Monochrome adaptor
• Color graphics adaptor
• Video display devices
• Raster scan systems
• Drawing elementary figures
• Graphical user interfaces
• Interactive graphics
• Passive graphics
• Geometric modeling
• Computer graphics applications
• Mathematics of parametric equations
• Display devices
• Colored displays
• Graphics applications
• Layout design
• Architectural simulations
• Text mode colors
• Graphics mode colors
• Video memory directly
• Computer forensics
• Computer investigations
• Computer forensics and investigations
• Recovering graphics files
• Graphics file
• Vector graphics
• Programmable shaders
• Procedural methods
• Advanced rendering