41 lines
1.9 KiB
Markdown
41 lines
1.9 KiB
Markdown
# 2D to 3D
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#### Spaces and Transformations
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- **Model Space**
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- Model space is relative to an individual model which is made up of vertices.
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- A cube has one vertex at each corner which are positioned relative to the centre of the cube
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- In model space there is no information about where a model is relative to anything in the world, there is only information about the relative positions of the vertices which make up the model
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- **World Space**
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- World space is relative top a larger coordinate system
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- Vertices are positioned in model space and then all moved to the appropriate position in the world
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- **View Space**
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- View space has all vertices from the perspective of the viewer
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- Vertices aren’t defined in view space. The world is moved relative to the viewer position
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- **Clip space**
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- Clip space is an intermediate space after vertices have been projected to what is going to be drawn to the screen
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- **Normalised Device Coordinate space**
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- NDC space is almost identical to the pixels on the screen.
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- Vertices inside the NDC space will be rendered at those positions
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- **Screen space**
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- Screen space maps directly to the pixels on the screen
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- From now vertices can be used to construct triangles, which are rasterised and the appropriate pixels are coloured
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- Model Transform
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- The transformation of vertices from model space to world space
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- View transform
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- The transform of vertices from world space to view space
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- Projection transform
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- The projection of vertices from view space to clip space
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- Perspective Division
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- The division of each component by its homogeneous $w$ component
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- Viewport Transformation
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- The mapping of normalised coordinates to vertices at screen pixel coordinates
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#### View Space with Frustum
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Everything outside the frustum isn’t rendered |