Podcast
Questions and Answers
What is the purpose of changing the index loop when utilizing the TriangleStrip primitive topology?
What is the purpose of changing the index loop when utilizing the TriangleStrip primitive topology?
- To read a texture file from disk
- To differentiate between odd and even triangles (correct)
- To modify the vertex transformation function
- To add UV coordinates to the vertex struct
What are the UV coordinates typically defined in the range of?
What are the UV coordinates typically defined in the range of?
- [0, 2]
- [0, 0.5]
- [-1, 1]
- [0, 1] (correct)
Which library was added to the framework to enable reading .png files?
Which library was added to the framework to enable reading .png files?
- SDL2_audio.lib
- SDL2_image.lib (correct)
- SDL2_video.lib
- SDL2_render.lib
When implementing vertex attributes, how should the vertex struct be modified?
When implementing vertex attributes, how should the vertex struct be modified?
What is the function of the two different index buffers in graphics programming?
What is the function of the two different index buffers in graphics programming?
What does the term 'bit masking' relate to in the context of modifying the index loop?
What does the term 'bit masking' relate to in the context of modifying the index loop?
What defines the Primitive Topology in graphics programming?
What defines the Primitive Topology in graphics programming?
What must be updated once the primitive topology methods are implemented?
What must be updated once the primitive topology methods are implemented?
What happens to the last two vertices of each triangle that shares a common edge with the next triangle?
What happens to the last two vertices of each triangle that shares a common edge with the next triangle?
How are triangles read from the optimized list?
How are triangles read from the optimized list?
What is the orientation of every odd-indexed triangle before any corrections are made?
What is the orientation of every odd-indexed triangle before any corrections are made?
How many vertices are used to define the simplest quad in this context?
How many vertices are used to define the simplest quad in this context?
What is the purpose of adding a degenerate triangle in this context?
What is the purpose of adding a degenerate triangle in this context?
How many indices are required to render the quad defined in this content?
How many indices are required to render the quad defined in this content?
What are degenerate triangles characterized by?
What are degenerate triangles characterized by?
Which of the following configurations correctly represents Triangle T1 after adjustments?
Which of the following configurations correctly represents Triangle T1 after adjustments?
What issue might occur when moving the camera while rendering the quad?
What issue might occur when moving the camera while rendering the quad?
Which method is suggested to resolve the issue of black lines between squares?
Which method is suggested to resolve the issue of black lines between squares?
How many vertices does the optimized list consist of based on the provided example?
How many vertices does the optimized list consist of based on the provided example?
What similarity does the process of removing vertices share with Triangle strips?
What similarity does the process of removing vertices share with Triangle strips?
What term is used to describe a series of triangles sharing an edge?
What term is used to describe a series of triangles sharing an edge?
When optimizing triangle data for rendering, what is an essential consideration?
When optimizing triangle data for rendering, what is an essential consideration?
Which indices define the first triangle in the quad?
Which indices define the first triangle in the quad?
What color is used for all vertices in the basic rendering of the quad?
What color is used for all vertices in the basic rendering of the quad?
What does the Texture::LoadFromFile function return?
What does the Texture::LoadFromFile function return?
To sample a specific pixel from SurfacePixels, which function should be used?
To sample a specific pixel from SurfacePixels, which function should be used?
What is one of the necessary steps after obtaining the SDL_Surface?
What is one of the necessary steps after obtaining the SDL_Surface?
How do you convert UV coordinates for pixel sampling?
How do you convert UV coordinates for pixel sampling?
What range does the color retrieved from an SDL_Surface belong to?
What range does the color retrieved from an SDL_Surface belong to?
What should be done after sampling the color from the texture?
What should be done after sampling the color from the texture?
Which of the following is necessary before using UV coordinates for sampling?
Which of the following is necessary before using UV coordinates for sampling?
What is the purpose of depth interpolation in rasterization?
What is the purpose of depth interpolation in rasterization?
What formula should be used to calculate the correct interpolated depth?
What formula should be used to calculate the correct interpolated depth?
Which step comes first when calculating interpolated depth?
Which step comes first when calculating interpolated depth?
What is the significance of $P - V_0 = 0$ in the given calculations?
What is the significance of $P - V_0 = 0$ in the given calculations?
How is the value of $w'$ related to the depth interpolation process?
How is the value of $w'$ related to the depth interpolation process?
In the equation $||P - V_0|| = 0.666$, what does this indicate?
In the equation $||P - V_0|| = 0.666$, what does this indicate?
What does an increase in the depth value imply when calculating depth interpolation?
What does an increase in the depth value imply when calculating depth interpolation?
What is the result of the calculation $P_z = (20.333) + (50.666)$?
What is the result of the calculation $P_z = (20.333) + (50.666)$?
Which of the following is necessary for proper depth storage?
Which of the following is necessary for proper depth storage?
What is the primary equation for old depth interpolation based on the provided content?
What is the primary equation for old depth interpolation based on the provided content?
What is the new equation for depth interpolation as indicated in the content?
What is the new equation for depth interpolation as indicated in the content?
In the given example, what value does the calculation $Z_{interpolated ext{-}old}$ result in?
In the given example, what value does the calculation $Z_{interpolated ext{-}old}$ result in?
What does the term $w'$ represent in the depth interpolation equations?
What does the term $w'$ represent in the depth interpolation equations?
Which variables are used in the calculation of $Z_{interpolated ext{-}old}$?
Which variables are used in the calculation of $Z_{interpolated ext{-}old}$?
What operation is involved in computing the new depth interpolation value?
What operation is involved in computing the new depth interpolation value?
How is the weighting in the old interpolation method different from the new interpolation method?
How is the weighting in the old interpolation method different from the new interpolation method?
If $w'_0$ equals 1.0 and $w'_1$ equals 0.5, what is the value of the new interpolation?
If $w'_0$ equals 1.0 and $w'_1$ equals 0.5, what is the value of the new interpolation?
Flashcards
Quad
Quad
A shape composed of four vertices and six indices, defining two triangles.
Triangle Strip
Triangle Strip
A method of creating a quad using a series of connected triangles, where each triangle shares an edge with the next.
Rasterization
Rasterization
The process of converting geometric data, such as vertices and indices, into pixels on the screen.
Pixel
Pixel
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Vertex
Vertex
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Indices
Indices
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Point-in-triangle Test
Point-in-triangle Test
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Mesh
Mesh
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Triangle
Triangle
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Degenerate Triangle
Degenerate Triangle
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Clockwise Winding
Clockwise Winding
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Vertex Buffer
Vertex Buffer
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Degenerate Triangle for Strip Gaps
Degenerate Triangle for Strip Gaps
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Texture::LoadFromFile
Texture::LoadFromFile
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Texture::Sample
Texture::Sample
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UV Coordinate Conversion
UV Coordinate Conversion
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Texture Interpolation
Texture Interpolation
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Depth
Depth
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Depth Interpolation
Depth Interpolation
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Depth Buffer
Depth Buffer
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Depth Test
Depth Test
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Triangle List
Triangle List
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Primitive Topology
Primitive Topology
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Index Buffer
Index Buffer
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Vertex Transformation Function
Vertex Transformation Function
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UV Space
UV Space
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PNG File
PNG File
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Weights (w'0, w'1, w')
Weights (w'0, w'1, w')
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Vertex Depth (V0,z, V1,z, V2,z)
Vertex Depth (V0,z, V1,z, V2,z)
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Attribute Division
Attribute Division
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Depth Correction
Depth Correction
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Original Vertex Depth
Original Vertex Depth
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Depth Interpolation Formula
Depth Interpolation Formula
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Interpolated Depth
Interpolated Depth
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Vertex Depths (V0,z, V1,z)
Vertex Depths (V0,z, V1,z)
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Screen Space Coordinates (w'0, w'1)
Screen Space Coordinates (w'0, w'1)
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Linear Depth Interpolation
Linear Depth Interpolation
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Old Depth Interpolation Method
Old Depth Interpolation Method
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Correct Depth Interpolated Value
Correct Depth Interpolated Value
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Study Notes
Graphics Programming I - Software Rasterization Part II
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Rasterization: Quad [TriangleList]: Last week's rendering involved two triangles with varying depth. Now, quads are introduced. The simplest quad uses 4 vertices and 6 indices to define two triangles, but this lesson introduces an example with 9 vertices and 24 indices.
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Vertices: A set of points defining the corners of the quad. Examples provided include: V0 = (-3, 3, -2); V1 = (0, 3, -2); V2 = (3, 3, -2); V3 = (-3, 0, -2); V4 = (0, 0, -2); V5 = (3, 0, -2); V6 = (-3, -3, -2); V7 = (0, -3, -2); V8 = (3, -3, -2).
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Triangles: Groups of three vertices that form triangles used to render the quad. Examples provided include: To = (3, 0, 4); T1 = (0, 1, 4); T2 = (4, 1, 5); T3 = (1, 2, 5); T4 = (6, 3, 7); T5 = (3, 4, 7); T6 = (7, 4, 8); T7 = (4, 5, 8).
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Rasterization: Quad: Using code from the previous week, rendering a quad with white vertices should result correctly. Problems might appear while moving the camera, showing black lines between squares. This is due to issues with checking types and bounds, indicating where a triangle ends. Optimization is possible for triangle data.
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Rasterization: Quad [TriangleStrip]: A series of triangles where each triangle and the next share an edge. This reduces redundant information compared to a TriangleList. The vertices in a strip definition involve more efficient storage of an index list. An example of a combined index list is provided: (3, 0, 4, 0, 1, 4, 4, 1, 5, 1, 2, 5, 6, 3, 7, 3, 4, 7, 7, 4, 8, 4, 5, 8).
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Rasterization: Quad [TriangleStrip]: Optimizing the list to handle common edges efficiently. This involves swapping vertices between certain triangles to align common edges. The reordered triangles are now counter-clockwise. (Examples of list before and after optimization are given.)
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Rasterization: Quad [TriangleStrip]: Removing duplicate vertices from the combined index list. This simplifies the data. An example is provided: (3, 0, 4, 0, 1, 4, 4, 1, 5, 1, 2, 5, 6, 3, 7, 3, 4, 7, 7, 4, 8, 4, 5, 8)
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(3, 0, 4, 1, 5, 2, 6, 3, 7, 4, 8, 5).
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Rasterization: Quad [TriangleStrip]: Interpreting the optimized index list. Reading triangles by shifting one index at a time for improved efficiency. Odd-indexed triangles are counter-clockwise. To ensure they are now clockwise, reverse the last two vertices for these.
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Rasterization: Quad [TriangleStrip]: Gaps between strips can be handled by adding degenerate triangles.
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Rasterization: Quad Explains how to use the appropriate enum
PrimitiveTopology
(either TriangleList or TriangleStrip). Demonstrates how to modify your index loop in code for proper rendering with different options, and that the vertices stay the same. -
Rasterization: Textures & Vertex Attributes: Vertex struct addition of UV coordinates and UV space definition. Important data is usually provided in the mesh file. The UV coordinates are typically in a 0 to 1 range. Examples showing the UV coordinates on a quad are illustrated.
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Rasterization: Textures & Vertex Attributes: Loading texture files and implementing texture sampling using UV coordinates.
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Rasterization: Depth Interpolation: Interpolated points based on the affine transformation preserved parallel lines and the perspective transformation.
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Rasterization: Depth Interpolation: The interpolated points are calculated in 2D space after projecting the triangle onto the view plane. The ratio between line segments may change after a perspective divide. The current UV space was not perspective transformed, so the correct ratios must be used in interplation.
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Rasterization: Depth Interpolation: The depth buffer is not correct because depth is interpolated incorrectly.
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Rasterization: Depth Interpolation: Formula for correct depth interpolation.
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Rasterization: Depth Interpolation: Methods and examples of depth interpolation.
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Rasterization: What to do?: Summary of the key takeaways to render a quad with texture using various primitive topologies, UV coordinates, depth interpolation, and fixing black lines errors.
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