5–viewing and projection
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5 – viewing and projection
Copyright 2019 Blair MacIntyre ((CC BY-NC-SA 4.0))
Projection
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Viewing Transformations
Copyright 2019 Blair MacIntyre ((CC BY-NC-SA 4.0))
Goal: Matrices for everything
Want an 𝑀 such that
𝑀 = 𝑀!"𝑀"#$%&'()$*𝑀'+,
Copyright 2019 Blair MacIntyre ((CC BY-NC-SA 4.0))
Camera Transforms
𝑀'+, = transformation to camera pose (viewpoint and direction)
Copyright 2019 Blair MacIntyre ((CC BY-NC-SA 4.0))
Canonical View Volume
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Viewport Transformation
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Viewport Transformation
Copyright 2019 Blair MacIntyre ((CC BY-NC-SA 4.0))
Orthographic Projection Transform
Copyright 2019 Blair MacIntyre ((CC BY-NC-SA 4.0))
Orthographic Projection Transform
Copyright 2019 Blair MacIntyre ((CC BY-NC-SA 4.0))
Perspective
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Copyright 2019 Blair MacIntyre ((CC BY-NC-SA 4.0))
Homogeneous coordinates
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Properties of 𝑀!"#
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𝑀"&#=𝑀$#(- 𝑃
Copyright 2019 Blair MacIntyre ((CC BY-NC-SA 4.0))
Field of View
Copyright 2019 Blair MacIntyre ((CC BY-NC-SA 4.0))