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Remove heading ids, let pandoc generate them

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James Gregory 2014-01-06 22:51:26 +11:00
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chapter-65.md
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@ -11,9 +11,9 @@ pages: 1191-1208
---
## Chapter 65\
3-D Clipping and Other Thoughts {#Heading1}
3-D Clipping and Other Thoughts
### Determining What's Inside Your Field of View {#Heading2}
### Determining What's Inside Your Field of View
Our part of the world is changing, and I'm concerned. By way of
explanation, three anecdotes.
@ -100,7 +100,7 @@ circulated a good bit of info about 3-D graphics, and plan to keep on
doing it as long as I can. Next, we're going to take a look at 3-D
clipping.
### 3-D Clipping Basics {#Heading3}
### 3-D Clipping Basics
Before I got deeply into 3-D, I kept hearing how difficult 3-D clipping
was, so I was pleasantly surprised when I actually got around to doing
@ -137,7 +137,7 @@ ways to speed up clipping under various circumstances, some of which
I'll mention, but the material covered below will give you the tools you
need to implement functional 3-D clipping.
#### Intersecting a Line Segment with a Plane {#Heading4}
#### Intersecting a Line Segment with a Plane
The fundamental 3-D clipping operation is clipping a line segment to a
plane. There are two parts to this operation: determining if the line is
@ -246,7 +246,7 @@ y, and z lengths of the line segment by that fraction, and add the
results to the inside endpoint, we get a new, clipped endpoint at the
point of intersection.
### Polygon Clipping {#Heading5}
### Polygon Clipping
Line clipping is fine for wireframe rendering, but what we really want
to do is polygon rendering of solid models, which requires polygon
@ -345,7 +345,7 @@ intersection with the clip plane can be used to advance the texture
coordinates as well, so only one extra multiply and one extra add are
required for each texture coordinate.
#### Clipping to the Frustum {#Heading6}
#### Clipping to the Frustum
Given a polygon-clipping function, it's easy to clip to the frustum: set
up the four planes for the sides of the frustum, with another one or two
@ -669,7 +669,7 @@ void UpdateWorld()
}
```
#### The Lessons of Listing 65.3 {#Heading7}
#### The Lessons of Listing 65.3
There are several interesting points to Listing 65.3. First,
floating-point arithmetic is used throughout the clipping process. While
@ -731,7 +731,7 @@ viewspace, then clipping them. However, the decision whether to clip in
worldspace or viewspace is not clear-cut and is affected by several
factors.
### Advantages of Viewspace Clipping {#Heading8}
### Advantages of Viewspace Clipping
Although viewspace clipping requires transforming vertices that may not
be drawn, it has potential performance advantages. For example, in
@ -771,7 +771,7 @@ the more frustum clipping you're doing, especially if most of the
polygons are trivially visible, the more attractive the performance
advantages of normalized clipping become.
### Further Reading {#Heading9}
### Further Reading
You now have the basics of 3-D clipping, but because fast clipping is
central to high-performance 3-D, there's a lot more to be learned. One