OpenGL Programming with Computer Graphics Training

• Programming Two-Dimensional Applications The OpenGL Application Programming Interface

• Graphics Functions

• The Graphics Pipeline and State Machines The OpenGL Interface

• Coordinate Systems Primitives and Attributes

• Polygon Basics Polygons in OpenGL Approximating a Sphere Triangulation

• Text

• Curved Objects Attributes

• Color

• RGB Color Indexed Color

• Setting of Color Attributes

• Viewing

• The Orthographic View Two-Dimensional Viewing

• Control Functions

• Interaction with the Window System Aspect Ratio and Viewports

• The main, display, and init Functions Program Structure

• The Program Shaders

• Rendering the Points The Vertex Shader The Fragment Shader Combining the Parts

• The initShader Function Polygons and Recursion

• The Three-Dimensional Gasket

• Use of Three-Dimensional Points Use of Polygons in Three Dimensions Hidden-Surface Removal 96

• Adding Interaction

• Using the Pointing Device 98 Window Events

• Keyboard Events The Idle Callback Double Buffering

• Window Management

• Menus

• Scalars, Points, and Vectors Geometric Objects Coordinate-Free Geometry

• The Mathematical View: Vector and Affine Spaces The Computer Science View

• Geometric ADTs Lines

• Affine Sums Convexity

• Dot and Cross Products Planes

• Three-Dimensional Primitives Coordinate Systems and Frames

• Representations and N-Tuples Change of Coordinate Systems Example Change of

• Representation Homogeneous Coordinates Example Change in Frames Working with Representations

• Frames in OpenGL Matrix and Vector Classes

• Modelling a Colored Cube Modelling the Faces

• Inward- and Outward-Pointing Faces Data Structures for Object Representation The Color Cube

• Interpolation Displaying the Cube

• Affine Transformations Translation, Rotation, and Scaling

• Translation Rotation Scaling

• Transformations in Homogeneous Coordinates Translation

• Scalig

• Rotation

• Shear

• Concatenation of Transformations Rotation About a Fixed Point General Rotation

• The Instance Transformation Rotation About an Arbitrary Axis

• Transformation Matrices in OpenGL Current Transformation Matrices Rotation,

• Translation, and Scaling Rotation About a Fixed Point Order of Transformations

• Spinning of the Cube

• Updating in the Display Callback Uniform Variables

• Interfaces to Three-Dimensional Applications Using Areas of the Screen

• A Virtual Trackball Smooth Rotations Incremental Rotation

• Quaternions

• Complex Numbers and Quaternions Quaternions and Rotation

• Classical and Computer Viewing Classical Viewing Orthographic Projections Axonometric Projections Oblique Projections Perspective Viewing

• Viewing with a Computer Positioning of the Camera

• Positioning of the Camera Frame Two Viewing APIs

• The Look-At Function Other Viewing APIs

• Parallel Projections

• Orthogonal Projections Parallel Viewing with OpenGL Projection Normalisation

• Orthogonal-Projection Matrices Oblique Projections

• An Interactive Viewer Perspective Projections

• Perspective Projections with OpenGL Simple Perspective Projections Perspective Functions

• Perspective-Projection Matrices Perspective Normalisation

• OpenGL Perspective Transformations Perspective Example

• Hidden-Surface Removal Culling

• Displaying Meshes

• Displaying Meshes as a Surface Polygon Offset

• Walking Through a Scene Projections and Shadows

• Light and Matter Light Sources

• Color Sources Ambient Light Point Sources Spotlights

• Distant Light Sources Ambient Reflection Diffuse Reflection Specular Reflection

• The Modified Phong Model Computation of Vectors

• Normal Vectors Angle of Reflection

• Polygonal Shading

• Flat Shading

• Smooth and Gouraud Shading Phong Shading

• The Phong Reflection Model

• Approximation of a Sphere by Recursive Subdivision Specifying Lighting Parameters

• Light Sources Materials

• Implementing a Lighting Model

• Applying the Lighting Model in the Application Efficiency

• Lighting in the Vertex Shader Shading of the Sphere Model

• Per-Fragment Lighting

• Non-Photorealistic Shading Global Illumination

• Basic Implementation Strategies Four Major Tasks

• Modelling

• Geometry Processing Rasterization Fragment Processing

• Clipping

• Line-Segment Clipping

• Cohen-Sutherland Clipping Liang-Barsky Clipping

• Polygon Clipping

• Clipping of Other Primitives Bounding Boxes and Volumes Curves, Surfaces, and Text Clipping in the Frame Buffer

• Clipping in Three Dimensions Rasterization

• Bresenham’s Algorithm Polygon Rasterization

• Inside–Outside Testing OpenGL and Concave Polygons Fill and Sort

• Flood Fill Singularities

• Hidden-Surface Removal

• Object-Space and Image-Space Approaches Sorting and Hidden-Surface Removal Scanline Algorithms

• Back-Face Removal

• The z-Buffer Algorithm

• Scan Conversion with the z-Buffer Depth Sort and the Painter’s Algorithm

• Antialiasing

• Display Considerations

• Color Systems The Color Matrix

• Gamma Correction Dithering and Halftoning

• Buffers

• Digital Images Writing into Buffers

• Writing Modes Writing with XOR

• Mapping Methods Texture Mapping

• Two-Dimensional Texture Mapping Texture Mapping in OpenGL

• Two-Dimensional Texture Mapping Texture Objects

• The Texture Array

• Texture Coordinates and Samplers Texture Sampling

• Working with Texture Coordinates Multitexturing

• Texture Generation Environment Maps Reflection Map Example Bump Mapping

• Finding Bump Maps Bump Map Example

• Compositing Techniques Opacity and Blending Image Compositing

• Blending and Compositing in OpenGL Antialiasing Revisited

• Back-to-Front and Front-to-Back Rendering Scene Antialiasing and Multisampling Image Processing

• Other Multipass Methods Sampling and Aliasing

• Sampling Theory Reconstruction Quantization

• Symbols and Instances Hierarchical Models

• A Robot Arm

• Trees and Traversal

• A Stack-Based Traversal Use of Tree Data Structures Animation

• Graphical Objects

• Methods, Attributes, and Messages A Cube Object

• Implementing the Cube Object Objects and Hierarchy Geometric Objects

• Scene Graphs OpenSceneGraph Graphics and the Internet

• Hypermedia and HTML Interactive Graphics and the Web WebGL

• Other Tree Structures

• CSG Trees BSP Trees

• Quadtrees and Octrees