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QRT Users Manual
INTRODUCTION
QRT (Quick Ray Tracer) is an easy to use image generation system that uses
a ray tracing algorithm for image rendering.
Here are some features of QRT:
o Multiple primitive types, including user defined quadratic surfaces
o Arbitrary levels of diffuse reflection, spectral reflection,
transmission, ambient lighting, and gloss
o User defined pattern information for objects
o Bounding boxes for groups of objects
o Shadows
o Multiple light sources with different characteristics
o Arbitrary Phong spectral reflection coefficients
o Colour dithering to increase the apparent number of colours
o Easy to use, free format input language with error checking. Parameters
are by keyword and may appear in any order.
Each of these features of QRT will be discussed is greater detail in this
document.
THE QRT WORLD
QRT constructs an image of the world by performing certain manipulations on
an internal representation of a group of objects. You must provide a
description of these objects to QRT through the QRT input language.
QRT writes a machine independent bitmap file which can be read by a
computer specific post processor. The post processor either displays the
image or converts it into the proper form for display by system programs.
(See the Machine Dependent Information section of this manual for details).
QRT is capable of dealing with 5 types of primitive objects: spheres,
parallelograms, triangles, rings (annulus), and quadratic surfaces. The
latter can be used to model cones, oblong spheroids, and other interesting
surfaces. Each of these objects can have an arbitrary orientation in space,
and arbitrary surface characteristics.
QRT INPUT LANGUAGE
The QRT input language is free format, in that commands may be placed
anywhere on a line, and newlines may be placed at any point. This makes it
easy to use indentation. Comments are also supported by surrounding text
with curly braces '{' and '}'. Comments may span lines.
The QRT input language is not case sensitive. A full description of the
language and a shorter, context free grammar can be found elsewhere in this
manual.
THE QRT ILLUMINATION MODEL
Before meaningful images can be created, the QRT illumination model must be
understood. The light that reaches the observer from each object is composed
of several components:
o Diffuse light - The "color" of the object
o Ambient light - The color of the light that falls on the surface of the
object if no lamps are shining on this spot. Note that this specifies the
color of light, not the color of the object itself.
o Reflected light - If the object acts as a mirror, some light is
reflected.
o Specular highlights - The "bright spots" of a shiny object viewed in a
light.
o Transmitted light - The object may transmit some of the light that
strikes the back of the object (glass surfaces)
All of these light characteristics can be specified for any object. If none
are specified, the current defaults are assumed. These defaults can be
changed (see DEFAULT in Language Reference Guide).
Most of these light characteristics deal with a percentage of light. For
example, a light may reflect 80% of the red light that strikes it, 20% of
the green, and 40% of the blue. This is the "color" of the object (diffuse
light), and would be specified in QRT by the following syntax:
diff = (.80, .20, .40)
In QRT, 1.00 is 100%. The language is also free-format, so the above is
equivalent to:
diff = (.80,
.20,
.40 )
The commas between parameters are optional, but make the input easier to
read. Semicolons can also be used.
Ambient light is specified in a similar manner:
amb = (.20, .20, .20)
The ambient light values should be fairly small. Most of the light hitting
the object comes from lamps, but some parts of the object may be in the
shadow of another object. If no ambient light is specified, these shadows
will appear totally black, which looks unrealistic. Ambient light will give
the affect of a small amount of light hitting areas in a shadow, producing a
more realistic looking image.
Reflection is specified using the MIRROR attribute:
mirror = (.90, .90, .90)
If a true mirrored surface is desired, the mirror values should be fairly
high. If one of the values has a higher value than the others, the mirror
will appear red, green, or blue.
Transmission is specified as follows:
trans = (.80, .80, .80)
density = (.022, .022, .022)
index = 1.33
Note the addition of another parameter, the index of refraction. An
explanation of the index of refraction for an object is beyond the scope of
this document - see a book on elementary optics for details. The density
factor is a light attenuation factor per unit distance the light travels
through the object. The trans parameter tells QRT how much light to remove
from shadows cast by this object.
In addition, specular highlights are specified with two parameters:
reflect = .50,
sreflect = 45
"REFLECT" is the percentage of light reflected in the specular highlight,
and sreflect is the Phong spectral reflection coefficient. Again, an
explanation of the Phong coefficient is beyond the scope of this document;
however, a higher value for the coefficient will result in smaller, tighter
highlights for a more metallic looking object. Lower values of sreflect
should be accompanied by lower values in reflect, and will produce duller
looking surfaces, such as paper.
QRT also accepts a dithering amount for each object:
dither = 3
Dithering is a mechanism for simulating colors not available on the display
by blending other colors. The default dithering coefficient is 3; it should
be kept small. Values of 1 to 6 are good. Larger objects should employ more
dithering, and mirrored or glass objects should have little or no dithering.
QRT also accepts an attribute "FUZZ", but this is not used in the present
implementation. In a future implementation of QRT, FUZZ will effect small,
random perturbations of the normal vector at a given location on an object.
This will simulate rough surfaces, matted glass, or imperfectly reflecting
mirrors.
All of the above light characteristics may be attached to any object. The
default is for a white, non reflecting, non transmitting dull surface with
an average amount of dithering. In addition, any of the above colour
information (which will be referred to from now on as COLORINFO) may also be
attached to a pattern structure (see the PATTERN section of this document).
LIGHT SOURCES
Light sources in QRT are called "LAMPS". The lamp structure is simple:
LAMP ( loc = (12, 34, 56),
dist = 50,
radius = 10 )
The default is for a bright white lamp, but if you wish to change this, you
can specify different values for the lamp's ambient light. The radius value
is ignored by this implementation of QRT, but it must be supplied. In a
future version, the radius may be used to implement penumbral shadows. I
didn't include them in this version, since they take a very long time to
compute, and don't add much to the image quality.
The "dist" entry in the lamp structure specifies at what distance the light
from the lamp is at full intensity. Beyond this value, the light will
decrease in intensity. This value should be set so that the nearest object
in the scene is slightly more than "dist" distance units from the lamp. This
does not have to be exact. If objects are nearer than dist" units, they will
be so bright that shading will not take place. Objects very far away will be
dimly illuminated.
By the way, QRT distance units are not tied to any real world unit. They
can stand for feet, nautical miles, or furlongs, at your choice.
THE OBSERVER
After defining the world, you must tell QRT the position and orientation of
the observer. This is done as follows:
OBSERVER ( loc = (0, 10, 20),
lookat = (5, 5, 120),
up = (0, 1, 0)
)
The x,y, and z are the location of the observer. The "lookat" variables
give a location in space that the observer is looking at. Most ray tracers
require you to give two angles for the observers view direction, but it is
MUCH easier to know the location of an object or point in space you wish the
observer to look at. This will be the center of your scene.
The "up" variables define which direction is up. Usually, you will wish to
use the values given above. QRT uses a right hand coordinate system:
positive y is up, positive z is out of the screen, and positive x is to the
right if you are looking in the negative z direction. The "up" parameter is
optional, and if omitted, defaults to (0,1,0).
QRT will generate an error message if no observer is defined.
OUTPUT FILENAME
QRT places its output in a file, so you must give it the name of this file:
FILE_NAME = outfile.tmp
This file must observe any file naming restrictions of the operating system
and computer you are using. See the Machine Dependent Information section of
this manual for information on file naming restrictions.
FOCAL LENGTH
This is the focal length of the "lens" used by the observer. Think of it as
a 35mm camera lens - higher numbers produce a telephoto effect, and smaller
numbers are for wide angle lenses. Note that small numbers may produce some
distortion of the image around the edges.
FOC_LENGTH = 60
SKY AND GROUND
QRT has facilities for generating the sky and ground. To define the sky,
you must give it two colors - one for the sky overhead (zenith), and one for
the horizon:
SKY ( zenith = (.10, .2, .4),
horiz = (.10, .2, .65),
dither = 6
)
This will produce a blue sky, with a brighter color near the horizon. (The
sky need not be blue - it could be red or hot pink, or vary from red to
green). QRT will smoothly blend the colors from the zenith to the horizon.
Since the sky is so large, you may want to specify a greater amount of
dithering to compensate for the displays color resolution limit.
The SKY structure will also produce sky colors below the horizon; any ray
that does not strike an object will strike the SKY. To fix this, define a
ground. There is no dedicated GROUND command, since you can define a very
large parallelogram with the same effect. You can make it brown with patches
of green using a PATTERN, or checkered green and yellow in the classic
ray-tracing ground pattern. A very large sphere can also be used for the
ground, which yields better results with mirrored objects.
BOUNDING BOXES
QRT supports the use of bounding boxes to speed the ray tracing process.
For images composed of only a few (1 to 3) objects, bounding boxes will not
do much to increase speed. However, for images where there are groups of
objects physically close to each other, they can greatly reduce execution
times. A bounding box is a conceptual structure that encloses a group of
objects. When the ray tracer is finding line/object intersections, if a line
does not strike a bounding box, it cannot possibly strike any objects within
that bounding box. This saves the ray tracer the trouble of checking
intersections with all objects within the box. In the case where the ray
DOES enter the box, some additional overhead is incurred; however, this cost
is easily justified by reduced times for negative tests.
Bounding boxes can occasionally be useful for complex objects, such as
quadratic surfaces, when the object is fairly small. Since the time to find
the intersection with a quadratic surface is large, but bounding box
intersections are fast, the ray tracer can save time for all the negative
tests.
Bounding boxes can contain other bounding boxes, in a recursive manner.
This recursive structure defines an "object tree". There are two keywords
that define the beginning and end of a bounding box: BEGIN_BBOX and
END_BBOX. Here is an example:
{ ** QRT Code for a chessman ** }
BEGIN_BBOX
QUADRATIC ( { ** quadr defn ** }
)
QUADRATIC ( { ** quadr defn 2 ** }
)
SPHERE ( { ** sphere defn ** }
)
BEGIN_BBOX
SPHERE ( ) { ** two spheres ** }
SPHERE ( )
END_BBOX
END_BBOX
This structure may be nested to an arbitrary level; if you had a closely
spaced group of chessmen, you could enclose all of them with a bounding box.
There is no simple algorithm for knowing exactly where to place bounding
boxes. You have to use common sense. Typically, bounding boxes do the most
good for closely spaced objects, but if the entire group of objects is less
than a third of the image area, it will be useful to enclose them all in a
bounding box.
PATTERNS
QRT permits user defined patterns which can be mapped to the surface of any
object. A pattern is basically an organized method for changing an object's
COLORINFO over the surface of that object. For example, a checkered surface
can be created, or a surface given the appearance of brick or tile. The
current patterning in QRT is limited, yet powerful enough to describe many
common patterns.
A pattern is composed of a series of sub-patterns. Each sub-pattern defines
a region on the surface of an object which will contain a given COLORINFO.
These regions are presently limited to rectangles, but this may be expanded
in a future implementation of QRT.
A pattern can be defined once, and used for many objects. For example, a
brick pattern might be defined:
PATTERN ( name = BRICK,
{ ** other pattern info here ** }
)
SPHERE ( { ** sphere definition ** }
pattern = BRICK
)
PARALLELOGRAM ( { ** parallelogram definition ** }
pattern = BRICK
)
This example ignores what is actually in the pattern definition to
demonstrate how patterns are attached to objects. A pattern must be defined
before it can be used. It is given a name, such as BRICK, and any object can
specify this pattern with "PATTERN = BRICK". There are no practical
restrictions on the length of pattern names (if your computer has 1 megabyte
of ram, you cannot have a pattern name longer than 1 million characters).
Multiple patterns may be defined at the top of an input file, and used for
any object in the file.
What exactly makes up a pattern, you ask? A pattern can be viewed as a
rectangle that is repeated over the surface of an object. If the pattern
size is 10 x 10, and you have an object (say a parallelogram) that is 50 x
50, the pattern will repeat 5 times in each direction. Within this repeating
rectangle, sub patterns can be defined. A sub-pattern is a rectangle or
circle within the pattern rectangle with a certain COLORINFO. Any number of
these sub-patterns can be created within one pattern definition. To create a
brick wall, you might define several sub-patterns, each with a slightly
different color of red or brown. The sub patterns need not cover the entire
pattern rectangle; if they do not, the COLORINFO you defined for the object
is used instead of the pattern COLORINFO. If you defined sub-patterns for
bricks, the area not covered would be mortar, and the objects COLORINFO
would define the color of the mortar. An actual brick pattern is given in
appendix C. The proper use of patterns can be very effective in producing
realistic looking scenes. However, complicated patterns will slow image
creation, so it is recommended that you first display test scenes with no
patterns, and then add pattern information when the scene is right.
Patterns have one other use, in the REMOVE command. A pattern can be
defined and thought of as a cut out from a surface. For example, suppose you
wish to make a flat surface in the shape of a grand piano top. Rather than
creating the piano top out of many parallelograms and triangles, define a
pattern that includes everything in a parallelogram but NOT in the piano
top; that is, the pattern maps the area to remove, not the area to keep.
Attach this pattern to a planar object with the REMOVE command. In this
case, since the area is removed, any associated COLORINFO is ignored.
INSTANCES
Often, several copies of a complex object must be created. Specifying their
component primitives each time would be difficult. There is a solution to
both these problems: INSTANCES. An INSTANCE is a method by which several
primitives (actually, an arbitrary object tree) can be grouped and given a
name. Copies of these objects may be easily created with one command. Here
is an example of an instance definition.
BEGIN_INSTANCES
NAME = object1
BEGIN_BBOX
{ ** a bunch of primitives here ** }
END_BBOX
NAME = object2
BEGIN_BBOX
{ ** a bunch more primitives here ** }
NAME = spheres
BEGIN_BBOX
SPHERE ( ) { ** two sphere definitions ** }
SPHERE ( )
END_BBOX
END_BBOX
END_INSTANCES
There can be only one of these instance definitions, and it must appear
before any instances are used. However, any arbitrary object tree can appear
within the begin/end instance statements. Several instances are now
available for use. For example:
INSTANCE_OF ( name = object1,
loc = (100, 10, 20),
)
INSTANCE_OF ( name = spheres,
loc = (12.3, 24.5, 999)
)
This example shows that any named portion of the object subtree can
function as an instance (the "spheres" object is at a lower level than the
"object1' object). The "offset" parameters are required. They specify a new
position for the instance (offset from the origin). In the instance
definition segment, all objects are defined relative to 0,0,0. They can then
be moved in the INSTANCE_OF statement with the offset command.
In addition, the instance can be given a new size:
INSTANCE_OF ( name = object2,
loc = (200, 100, 50),
scale = (1.5, 2.0, .25)
)
The scale factors are optional, and are given the default of 1. The
instance will be resized by the indicated amount in each of the directions.
Note that there are some restrictions to this: if spheres are given a
different scale factor in each direction, they will remain spheres (not
change to QUADRATIC types). The new radius will be the old radius scaled by
the smallest of the scale factors.
DEFAULTS
Each object in QRT is given certain default surface light characteristics
(see the section on surface characteristics). If these defaults are not
suitable, they can be changed with the DEFAULT command:
DEFAULT ( diff = (1.00, .1, .1)
no_shadow )
This will make all future objects red unless specified otherwise. More than
one default command can be used in a file: each one affects all the objects
created after it, but before the next default command. Any light
characteristics can be changed (MIRROR, DITHER, etc).
In addition, the keyword "no_shadow" can be included (as above).
Ordinarily, QRT computes shadow information for all objects. This takes a
lot of time, especially for scenes composed of many objects and many lamps.
The "no_shadow" command causes QRT to bypass the shadow routines. This will
result in a much faster image generation time, but the picture will not look
as realistic.
X and Y screen resolution and aspect ratio can also be changed with this
command. If you wish to generate a preliminary image in a smaller
resolution, say, 127 x 127, you would use the following default:
DEFAULT ( x_res = 127,
y_res = 127,
aspect = .56
)
The aspect ratio of .56 is correct for the Amiga in 4096 color mode; use
1.0 for high resolution mode.
PROBLEMS WITH QRT
There are several limitations in this version of QRT:
o Patterning does not work well with some quadratic surfaces. This is a
problem with the 3d to 2d mapping function used for quadratics.
o User defined texturing is not implemented - all objects in QRT appear
smooth. I have some ideas on how to add textures to objects, but these
have not been tested and are not incorporated into this version of QRT.
FUTURE ENHANCEMENTS TO QRT
The following are some things I'd like to add to QRT:
o Enhanced patterning capability. The ability to use enumerated
(bit-mapped) patterns as well as analytic patterns would be useful.
o Anti-dithering routines. These routines are very computationally
expensive (they can increase image generation times by a factor of 3 to
5), so they were not included in this version.
o Penumbral shadows. This is also very computationally expensive for a
minimal utility level, so I didn't bother to include this feature.
o Fractal generation. Fractals are, again, computationally expensive, but
some things, such as mountains, cannot be modeled with a ray tracer any
other way.
o Wavy surfaces. This is useful for modeling water, rippled mirrors, etc. I
know how to do it, I just didn't have time to add it yet. It would be
nice if the waves were user definable in amplitude and x and y
wavelength. Wavy surfaces are very similar in implementation to textures.
o Snowy surfaces. This is an idea from DBW, which adds snow to a surface
depending on its slope and altitude.
o Interpolated normal surfaces. This is a mechanism to model arbitrary
curved surfaces by using a polygonal approximation to the surface, and
interpolating the normal vector between surfaces to avoid angular looking
surfaces.
o Image plane object lists. This is a technique for increasing the speed
for positive line/object intersection test. (Bounding boxes increase
speed for negative line/object intersection tests).
o Heuristics for faster completion of images using area coherence.
o An interactive editor. This is another large scale project in itself, and
I can't forsee having time to do it for a long time, but it would be
useful. The editor would display a preliminary image of the scene, and
when the user had placed objects to his satisfaction, it would write a
QRT input file and call QRT as a background task. There are certain
problems here - for instance, how do you quickly generate the outline of
a user defined quadratic that can take many forms (cone, spheroid, etc)?
And how can the user easily specify the object tree structure (bounding
boxes) with an interactive editor?
00000000 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 20 | |
*
00000020 51 52 54 20 55 73 65 72 73 20 4d 61 6e 75 61 6c |QRT Users Manual|
00000030 0a 0a 49 4e 54 52 4f 44 55 43 54 49 4f 4e 0a 20 |..INTRODUCTION. |
00000040 20 20 20 20 20 20 20 20 20 20 0a 20 51 52 54 20 | . QRT |
00000050 28 51 75 69 63 6b 20 52 61 79 20 54 72 61 63 65 |(Quick Ray Trace|
00000060 72 29 20 69 73 20 61 6e 20 65 61 73 79 20 74 6f |r) is an easy to|
00000070 20 75 73 65 20 69 6d 61 67 65 20 67 65 6e 65 72 | use image gener|
00000080 61 74 69 6f 6e 20 73 79 73 74 65 6d 20 74 68 61 |ation system tha|
00000090 74 20 75 73 65 73 0a 61 20 72 61 79 20 74 72 61 |t uses.a ray tra|
000000a0 63 69 6e 67 20 61 6c 67 6f 72 69 74 68 6d 20 66 |cing algorithm f|
000000b0 6f 72 20 69 6d 61 67 65 20 72 65 6e 64 65 72 69 |or image renderi|
000000c0 6e 67 2e 0a 0a 48 65 72 65 20 61 72 65 20 73 6f |ng...Here are so|
000000d0 6d 65 20 66 65 61 74 75 72 65 73 20 6f 66 20 51 |me features of Q|
000000e0 52 54 3a 0a 20 0a 20 6f 20 4d 75 6c 74 69 70 6c |RT:. . o Multipl|
000000f0 65 20 70 72 69 6d 69 74 69 76 65 20 74 79 70 65 |e primitive type|
00000100 73 2c 20 69 6e 63 6c 75 64 69 6e 67 20 75 73 65 |s, including use|
00000110 72 20 64 65 66 69 6e 65 64 20 71 75 61 64 72 61 |r defined quadra|
00000120 74 69 63 20 73 75 72 66 61 63 65 73 0a 20 0a 20 |tic surfaces. . |
00000130 6f 20 41 72 62 69 74 72 61 72 79 20 6c 65 76 65 |o Arbitrary leve|
00000140 6c 73 20 6f 66 20 64 69 66 66 75 73 65 20 72 65 |ls of diffuse re|
00000150 66 6c 65 63 74 69 6f 6e 2c 20 73 70 65 63 74 72 |flection, spectr|
00000160 61 6c 20 72 65 66 6c 65 63 74 69 6f 6e 2c 0a 20 |al reflection,. |
00000170 20 20 74 72 61 6e 73 6d 69 73 73 69 6f 6e 2c 20 | transmission, |
00000180 61 6d 62 69 65 6e 74 20 6c 69 67 68 74 69 6e 67 |ambient lighting|
00000190 2c 20 61 6e 64 20 67 6c 6f 73 73 0a 20 0a 20 6f |, and gloss. . o|
000001a0 20 55 73 65 72 20 64 65 66 69 6e 65 64 20 70 61 | User defined pa|
000001b0 74 74 65 72 6e 20 69 6e 66 6f 72 6d 61 74 69 6f |ttern informatio|
000001c0 6e 20 66 6f 72 20 6f 62 6a 65 63 74 73 0a 20 0a |n for objects. .|
000001d0 20 6f 20 42 6f 75 6e 64 69 6e 67 20 62 6f 78 65 | o Bounding boxe|
000001e0 73 20 66 6f 72 20 67 72 6f 75 70 73 20 6f 66 20 |s for groups of |
000001f0 6f 62 6a 65 63 74 73 0a 20 0a 20 6f 20 53 68 61 |objects. . o Sha|
00000200 64 6f 77 73 0a 20 0a 20 6f 20 4d 75 6c 74 69 70 |dows. . o Multip|
00000210 6c 65 20 6c 69 67 68 74 20 73 6f 75 72 63 65 73 |le light sources|
00000220 20 77 69 74 68 20 64 69 66 66 65 72 65 6e 74 20 | with different |
00000230 63 68 61 72 61 63 74 65 72 69 73 74 69 63 73 0a |characteristics.|
00000240 20 0a 20 6f 20 41 72 62 69 74 72 61 72 79 20 50 | . o Arbitrary P|
00000250 68 6f 6e 67 20 73 70 65 63 74 72 61 6c 20 72 65 |hong spectral re|
00000260 66 6c 65 63 74 69 6f 6e 20 63 6f 65 66 66 69 63 |flection coeffic|
00000270 69 65 6e 74 73 0a 20 0a 20 6f 20 43 6f 6c 6f 75 |ients. . o Colou|
00000280 72 20 64 69 74 68 65 72 69 6e 67 20 74 6f 20 69 |r dithering to i|
00000290 6e 63 72 65 61 73 65 20 74 68 65 20 61 70 70 61 |ncrease the appa|
000002a0 72 65 6e 74 20 6e 75 6d 62 65 72 20 6f 66 20 63 |rent number of c|
000002b0 6f 6c 6f 75 72 73 0a 20 0a 20 6f 20 45 61 73 79 |olours. . o Easy|
000002c0 20 74 6f 20 75 73 65 2c 20 66 72 65 65 20 66 6f | to use, free fo|
000002d0 72 6d 61 74 20 69 6e 70 75 74 20 6c 61 6e 67 75 |rmat input langu|
000002e0 61 67 65 20 77 69 74 68 20 65 72 72 6f 72 20 63 |age with error c|
000002f0 68 65 63 6b 69 6e 67 2e 20 50 61 72 61 6d 65 74 |hecking. Paramet|
00000300 65 72 73 0a 20 20 20 61 72 65 20 62 79 20 6b 65 |ers. are by ke|
00000310 79 77 6f 72 64 20 61 6e 64 20 6d 61 79 20 61 70 |yword and may ap|
00000320 70 65 61 72 20 69 6e 20 61 6e 79 20 6f 72 64 65 |pear in any orde|
00000330 72 2e 0a 20 0a 20 45 61 63 68 20 6f 66 20 74 68 |r.. . Each of th|
00000340 65 73 65 20 66 65 61 74 75 72 65 73 20 6f 66 20 |ese features of |
00000350 51 52 54 20 77 69 6c 6c 20 62 65 20 64 69 73 63 |QRT will be disc|
00000360 75 73 73 65 64 20 69 73 20 67 72 65 61 74 65 72 |ussed is greater|
00000370 20 64 65 74 61 69 6c 20 69 6e 20 74 68 69 73 0a | detail in this.|
00000380 64 6f 63 75 6d 65 6e 74 2e 0a 0a 0a 54 48 45 20 |document....THE |
00000390 51 52 54 20 57 4f 52 4c 44 0a 20 0a 20 51 52 54 |QRT WORLD. . QRT|
000003a0 20 63 6f 6e 73 74 72 75 63 74 73 20 61 6e 20 69 | constructs an i|
000003b0 6d 61 67 65 20 6f 66 20 74 68 65 20 77 6f 72 6c |mage of the worl|
000003c0 64 20 62 79 20 70 65 72 66 6f 72 6d 69 6e 67 20 |d by performing |
000003d0 63 65 72 74 61 69 6e 20 6d 61 6e 69 70 75 6c 61 |certain manipula|
000003e0 74 69 6f 6e 73 20 6f 6e 0a 61 6e 20 69 6e 74 65 |tions on.an inte|
000003f0 72 6e 61 6c 20 72 65 70 72 65 73 65 6e 74 61 74 |rnal representat|
00000400 69 6f 6e 20 6f 66 20 61 20 67 72 6f 75 70 20 6f |ion of a group o|
00000410 66 20 6f 62 6a 65 63 74 73 2e 20 59 6f 75 20 6d |f objects. You m|
00000420 75 73 74 20 70 72 6f 76 69 64 65 20 61 0a 64 65 |ust provide a.de|
00000430 73 63 72 69 70 74 69 6f 6e 20 6f 66 20 74 68 65 |scription of the|
00000440 73 65 20 6f 62 6a 65 63 74 73 20 74 6f 20 51 52 |se objects to QR|
00000450 54 20 74 68 72 6f 75 67 68 20 74 68 65 20 51 52 |T through the QR|
00000460 54 20 69 6e 70 75 74 20 6c 61 6e 67 75 61 67 65 |T input language|
00000470 2e 0a 20 0a 20 51 52 54 20 77 72 69 74 65 73 20 |.. . QRT writes |
00000480 61 20 6d 61 63 68 69 6e 65 20 69 6e 64 65 70 65 |a machine indepe|
00000490 6e 64 65 6e 74 20 62 69 74 6d 61 70 20 66 69 6c |ndent bitmap fil|
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00005510 20 0a 20 6f 20 48 65 75 72 69 73 74 69 63 73 20 | . o Heuristics |
00005520 66 6f 72 20 66 61 73 74 65 72 20 63 6f 6d 70 6c |for faster compl|
00005530 65 74 69 6f 6e 20 6f 66 20 69 6d 61 67 65 73 20 |etion of images |
00005540 75 73 69 6e 67 20 61 72 65 61 20 63 6f 68 65 72 |using area coher|
00005550 65 6e 63 65 2e 0a 20 0a 20 6f 20 41 6e 20 69 6e |ence.. . o An in|
00005560 74 65 72 61 63 74 69 76 65 20 65 64 69 74 6f 72 |teractive editor|
00005570 2e 20 54 68 69 73 20 69 73 20 61 6e 6f 74 68 65 |. This is anothe|
00005580 72 20 6c 61 72 67 65 20 73 63 61 6c 65 20 70 72 |r large scale pr|
00005590 6f 6a 65 63 74 20 69 6e 20 69 74 73 65 6c 66 2c |oject in itself,|
000055a0 20 61 6e 64 0a 20 20 20 49 20 63 61 6e 27 74 20 | and. I can't |
000055b0 66 6f 72 73 65 65 20 68 61 76 69 6e 67 20 74 69 |forsee having ti|
000055c0 6d 65 20 74 6f 20 64 6f 20 69 74 20 66 6f 72 20 |me to do it for |
000055d0 61 20 6c 6f 6e 67 20 74 69 6d 65 2c 20 62 75 74 |a long time, but|
000055e0 20 69 74 20 77 6f 75 6c 64 20 62 65 0a 20 20 20 | it would be. |
000055f0 75 73 65 66 75 6c 2e 20 54 68 65 20 65 64 69 74 |useful. The edit|
00005600 6f 72 20 77 6f 75 6c 64 20 64 69 73 70 6c 61 79 |or would display|
00005610 20 61 20 70 72 65 6c 69 6d 69 6e 61 72 79 20 69 | a preliminary i|
00005620 6d 61 67 65 20 6f 66 20 74 68 65 20 73 63 65 6e |mage of the scen|
00005630 65 2c 20 61 6e 64 0a 20 20 20 77 68 65 6e 20 74 |e, and. when t|
00005640 68 65 20 75 73 65 72 20 68 61 64 20 70 6c 61 63 |he user had plac|
00005650 65 64 20 6f 62 6a 65 63 74 73 20 74 6f 20 68 69 |ed objects to hi|
00005660 73 20 73 61 74 69 73 66 61 63 74 69 6f 6e 2c 20 |s satisfaction, |
00005670 69 74 20 77 6f 75 6c 64 20 77 72 69 74 65 20 61 |it would write a|
00005680 0a 20 20 20 51 52 54 20 69 6e 70 75 74 20 66 69 |. QRT input fi|
00005690 6c 65 20 61 6e 64 20 63 61 6c 6c 20 51 52 54 20 |le and call QRT |
000056a0 61 73 20 61 20 62 61 63 6b 67 72 6f 75 6e 64 20 |as a background |
000056b0 74 61 73 6b 2e 20 54 68 65 72 65 20 61 72 65 20 |task. There are |
000056c0 63 65 72 74 61 69 6e 0a 20 20 20 70 72 6f 62 6c |certain. probl|
000056d0 65 6d 73 20 68 65 72 65 20 2d 20 66 6f 72 20 69 |ems here - for i|
000056e0 6e 73 74 61 6e 63 65 2c 20 68 6f 77 20 64 6f 20 |nstance, how do |
000056f0 79 6f 75 20 71 75 69 63 6b 6c 79 20 67 65 6e 65 |you quickly gene|
00005700 72 61 74 65 20 74 68 65 20 6f 75 74 6c 69 6e 65 |rate the outline|
00005710 20 6f 66 0a 20 20 20 61 20 75 73 65 72 20 64 65 | of. a user de|
00005720 66 69 6e 65 64 20 71 75 61 64 72 61 74 69 63 20 |fined quadratic |
00005730 74 68 61 74 20 63 61 6e 20 74 61 6b 65 20 6d 61 |that can take ma|
00005740 6e 79 20 66 6f 72 6d 73 20 28 63 6f 6e 65 2c 20 |ny forms (cone, |
00005750 73 70 68 65 72 6f 69 64 2c 20 65 74 63 29 3f 0a |spheroid, etc)?.|
00005760 20 20 20 41 6e 64 20 68 6f 77 20 63 61 6e 20 74 | And how can t|
00005770 68 65 20 75 73 65 72 20 65 61 73 69 6c 79 20 73 |he user easily s|
00005780 70 65 63 69 66 79 20 74 68 65 20 6f 62 6a 65 63 |pecify the objec|
00005790 74 20 74 72 65 65 20 73 74 72 75 63 74 75 72 65 |t tree structure|
000057a0 20 28 62 6f 75 6e 64 69 6e 67 0a 20 20 20 62 6f | (bounding. bo|
000057b0 78 65 73 29 20 77 69 74 68 20 61 6e 20 69 6e 74 |xes) with an int|
000057c0 65 72 61 63 74 69 76 65 20 65 64 69 74 6f 72 3f |eractive editor?|
000057d0 0a |.|
000057d1 
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