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lines changed Original file line number Diff line number Diff line change @@ -44,7 +44,7 @@ that are outside this range will be discarded or clipped (i.e. won't be visible
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on screen). This is called Normalized Device Coordinates, or NDC for short.
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This is something you cannot change because it is part of the OpenGL API and
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implemented in your hardware (GPU). Consequently, even if you intend to render
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- the whole universe, you'll have utlimately to fit it into this small volume.
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+ the whole universe, you'll have ultimately to fit it into this small volume.
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The second important fact to know is that **x ** coordinates increase from left
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to right and **y ** coordinates increase from bottom to top. For this latter
Original file line number Diff line number Diff line change @@ -35,7 +35,7 @@ this is the reason why we will use homogeneous coordinates that describe
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coordinates in a four-dimensional projective space (that includes the Euclidean
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space). We'll see in the next section that this allows us to express linear
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transformations (rotation, scaling), affine transformations (translations) and
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- projection using 4×4 matrices. Homogeneous coordinatess are tightly linked with
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+ projection using 4×4 matrices. Homogeneous coordinates are tightly linked with
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regular 3D coordinates with the noticeable difference that they require a
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fourth `w ` coordinate that corresponds to the fourth dimension, let's call it
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the projective dimension. In order to explain it, we'll use a 1-dimensional
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