Model View Projection¶

Contents

• Introduction
  • Approach
  • Things You Should Know
  • Required Software
    • Windows
    • Linux
    • Mac
    • Podman Container
      • Command Line
  • Getting the Source code
• Opening a Window - Demo 01
  • Objective
  • How to Execute
  • Terminology
    • Reference to Learn More
  • Code
    • Importing Libraries
    • Opening A Window
    • GLFW/OpenGL Initialization
      • Initialize GLFW.
      • Set the version of OpenGL
      • Create a Window
      • The Event Loop
  • Black Screen
• Draw A Rectangle - Demo 02
  • Objective
  • How to Execute
  • Code
    • GLFW/OpenGL Initialization
    • The Event Loop
    • Draw Paddles
      • Draw Paddle 1
      • Draw Paddle 2
  • Normalized-Device-Coordinates
  • Introduction to Cayley Graphs
    • NDC/Screenspace Conversion
    • Currency Conversion
    • Temperature Conversion
  • Learning what to ignore
  • Exercise
• Framebuffer
• NDC
  • Drawing in NDC
  • Make Framebuffer
  • Clear Framebuffer
  • Problem 2
  • Create function from NDC to screenspace
  • Create NDC data for triangle
  • Convert the NDC Vectors to Screenspace
  • Move the Triangle in NDC
• Programming Project #1
  • Objective
  • Examples
    • Draw a triangle
    • Draw an Oscillating Triangle
    • Draw X^2 (Precomputed)
    • Draw (X-1/2)^2 (Dynamically)
      • Black Box
      • Implementation (White Box)
    • Draw Unnamed Function
    • Draw Circle
• Window Resizing and Proportionality - Demo 03
  • Problem With Previous Demo
  • How to Execute
  • Objective
  • Keeping the Paddles Proportional
  • Code
    • GLFW/OpenGL Initialization
      • Set to Draw in Square Subsection Of Window
      • The Event Loop
• Moving the Paddles - Keyboard Input - Demo 04
  • Objective
  • How to Execute
  • Move the Paddles using the Keyboard
  • Code
    • Data Structures
    • Query User Input and Use It To Animate
    • The Event Loop
• Add Translate Method to Vector - Demo 05
  • Objective
  • How to Execute
  • Move the Paddles using the Keyboard
  • Translation
  • Code
    • Data Structures
    • Instantiation of the Paddles
    • Handling User Input
    • The Event Loop
• Math Homework #1
  • Objective
    • Translate Implementation
      • Usage (Black Box)
      • Definition (White Box)
    • Function Composition
  • Assignment
    • Provided functions
    • Functions to implement
• Modelspace - Demo 06
  • Objective
  • How to Execute
  • Move the Paddles using the Keyboard
  • Modelspace
  • WorldSpace
  • Modelspace to WorldSpace
    • Modelspace of Paddle 1
    • Modelspace of Paddle 1 Superimposed on Worldspace after the translation
    • Paddle 1’s vertices in WorldSpace Coordinates
    • Modelspace of Paddle 2
    • Modelspace of Paddle 2 Superimposed on Worldspace after the translation
    • Paddle 2’s vertices in WorldSpace Coordinates
    • Scaling
  • Code
    • The Event Loop
      • Rendering Paddle 1
      • Rendering Paddle 2
• Glossary
• API Reference
  • Math Utils
    • Vector
      • Vector.__add__()
      • Vector.__mul__()
      • Vector.__neg__()
      • Vector.__sub__()
      • Vector.__rmul__()
      • Vector.isclose()
      • Vector.component_wise_with_index()
      • Vector.dot()
    • Vector1D
      • Vector1D.x
    • InvertibleFunction
      • InvertibleFunction.func
      • InvertibleFunction.inverse
      • InvertibleFunction.latex_repr
      • InvertibleFunction.latex_repr_inv
      • InvertibleFunction.__call__()
      • InvertibleFunction.__matmul__()
      • InvertibleFunction.__rmatmul__()
    • identity()
    • inverse()
    • compose()
    • compose_intermediate_fns()
    • compose_intermediate_fns_and_fn()
    • translate()
    • uniform_scale()
    • Vector2D
      • Vector2D.y
    • scale_non_uniform_2d()
    • rotate_90_degrees()
    • rotate()
    • rotate_around()
    • sine()
    • is_counter_clockwise()
    • is_clockwise()
    • is_parallel()
    • Vector3D
      • Vector3D.z
      • Vector3D.cross()
    • cos()
    • abs_sin()
    • scale_non_uniform_3d()
    • rotate_x()
    • rotate_y()
    • rotate_z()
    • ortho()
    • perspective()
    • cs_to_ndc_space_fn()
    • FunctionStack
      • FunctionStack.stack
      • FunctionStack.push()
      • FunctionStack.pop()
      • FunctionStack.clear()
      • FunctionStack.modelspace_to_ndc_fn()
    • push_transformation()
• Bibliography
• Miscellany
  • First Class Functions
• Plot 2D
  • Problem 1
  • Draw graph paper
  • Draw relative graph paper
  • Draw relative graph paper
  • Draw relative graph paper, defined by composed functions
  • Composed functions, read bottom up
  • Composed functions, read top down