Provided by: netpbm_11.10.02-1build1_amd64 

NAME
pamtris - triangle rasterizer featuring perspective-correct interpolation of generic vertex attributes
and depth buffering
SYNOPSIS
pamtris
-width=width
-height=height
{ -num_attribs=attributes_per_vertex [ -tupletype=tupletype ] | -rgb | -grayscale }
[ -maxval=maxval ]
All options can be abbreviated to their shortest unique prefix. You may use two hyphens instead of one
to designate an option. You may use either white space or an equals sign between an option name and its
value.
DESCRIPTION
This program is part of Netpbm(1).
pamtris can be used to draw a great variety of 2D and 3D graphics by composing arbitrarily complex
pictures out of separate triangles, triangle strips and triangle fans. The program reads instructions
written in a simple command script notation from Standard Input and outputs its results as a (potentially
multi-image) PAM stream on Standard Output.
For example, the following input
mode fan
attribs 0 128 0
vertex 0 0 1
attribs 0 0 128
vertex 200 0 1
attribs 50 20 103
vertex 190 61 1
attribs 100 40 78
vertex 161 117 1
attribs 150 60 53
vertex 117 161 1
attribs 200 80 28
vertex 61 190 1
attribs 250 100 3
vertex 0 200 1
print
produces this:
Example pamtris output for FAN mode
The input file gives triangle data by setting the appropriate drawing mode, if necessary, and then
providing a list of vertices. Each vertex is also associated with a list of up to 20 "attributes," which
are integer values between 0 and a given maxval. In the most common usage, you use pamtris to draw a
visual image and a vertex has three attributes, which are an RGB specification of a color. Such
attribute lists may be provided on a per-vertex basis.
Prior to effectively writing a PAM image to Standard Output, pamtris first rasterizes it onto an internal
frame buffer, which consists of an "image buffer" and a "depth buffer." The image buffer consists of a
sequence of height rows containing a sequence of width tuples. There is one sample for each vertex
attribute in every tuple plus an opacity (alpha) sample. Each tuple in the image buffer is also
associated with an integer depth in the depth buffer, which determines whether subsequent drawing
operations affect that particular tuple or not. This provides a way of depth-sorting graphical objects
which is adequate for many purposes in 2D and 3D computer graphics. One prominent shortcoming of such an
approach to depth-sorting, however, is that it does not automatically work with objects which are
intended to appear "translucent," therefore requiring more elaborate strategies to incorporate said
objects into pictures generated using this technique.
The opacity sample is the last sample of the tuple. pamtris manipulates opacity internally and for any
tuple it is always either 0 or the maxval. The program does not provide the user direct control over the
alpha image plane.
pamtris rasterizes triangles by approximating their visible area as a collection of tuples at particular
positions in the frame buffer, and to each sample of every such tuple it assigns a value which is a
perspective-correct interpolation between the values of the corresponding attribute for each vertex of
the triangle. Whenever a tuple within the area of the frame buffer is produced, it is written to the
corresponding position in the frame buffer if and only if it passes a depth test. This test works as
follows: the depth value of every incoming tuple (which is itself an interpolation between the Z-
coordinates of the vertices of the corresponding triangle) is compared against the value in the
corresponding position in the depth buffer. If the depth value of the incoming tuple equals or is smaller
than the depth value already present in said position in the depth buffer, the following happens.
• Every sample i, where 0 ≤ i < num_attribs, of the tuple in the corresponding position in the
image buffer is set to equal the value of the respective sample of the incoming tuple; and the
alpha sample (the last one) is updated to the maxval;
• The depth value in the corresponding position in the depth buffer is updated to a depth value
directly proportional to that of the incoming tuple.
Otherwise, that particular tuple effects no change at all in the frame buffer.
The frame buffer is initially set so that all samples in every tuple of the image buffer contain the
value 0, and all entries in the depth buffer contain the maximum permitted depth value.
The attributes' values, and therefore the samples in the output PAM images, have no fixed interpretation
ascribed to them (except for the last image plane, which is deliberately supposed to represent tuple
opacity information); one may ascribe any suitable meaning to them, such as that of colors, texture
coordinates, surface normals, light interaction characteristics, texture influence coefficients for
multi-texturing, etc.
EXAMPLES
Fan Mode
The following command generates the image from the fan mode example at the top of the DESCRIPTION
section. If the file fan.tris contains that code, you could process it with:
$ pamtris -height=200 -width=200 -rgb <fan.tris >fan.pam
Strip Mode
The following is an example of strip mode:
mode strip
attribs 255 0 0 # red
vertex 0 200 1
vertex 50 0 1
attribs 0 0 0 # black
vertex 100 200 1
attribs 0 205 205 # cyan
vertex 150 0 1
attribs 0 0 255 # blue
vertex 200 200 1
vertex 250 0 1
print
Save the above code in a file named strip.tris (for instance) and process it with:
$ pamtris -height=200 -width=200 -rgb <strip.tris >strip.pam
to yield:
Example pamtris output for STRIP mode
Triangle Mode
The following is an example of triangle mode:
# yellow square
mode strip
attrib 155 155 0
vertex 50 50 100
vertex 50 200 100
vertex 200 50 100
vertex 200 200 100
# blue triangle
mode triangles
attrib 0 205 205
vertex 20 125 70
attrib 0 0 140
vertex 230 70 120 # Change "120" and see what happens
vertex 230 180 120 #
print
Save the above code in a file named pierce.tris (for instance) and process it with:
$ pamtris -height=200 -width=200 -rgb <pierce.tris >pierce.pam
to yield:
Example pamtris output for TRIANGLES mode
Meta-programming
The pamtris command language is much too rudimentary to be used directly for any serious drawing; you
will probably want to use a general purpose programming language to generate a temporary pamtris command
file.
For example, the draw_polygon procedure in the C program below outputs pamtris instructions to draw a
regular polygon. It does this by generating a number of vertex instructions tracing around the perimeter
of the corresponding circumscribed circle. (Note: The PAM image produced by piping the output of the
below program into pamtris was subsequently downscaled through pamscale -linear -xscale 0.25 -yscale 0.25
to achieve an anti-aliased effect.)
Regular Polygons
/* ----------------------- *
* width = 512 *
* height = 512 *
* num_attribs = 3 *
* tupletype = RGB_ALPHA *
* ----------------------- */
#include <math.h>
#include <stdio.h>
#include <stdlib.h>
#define PI 3.14159265358979323844
void draw_polygon
(int const center_x, int const center_y, int const radius, int const sides)
{
printf("mode fan\n"
"vertex %d %d 0\n", center_x, center_y);
for(int i = 0; i <= sides; i++)
{
int const x = round(center_x + radius * cos(i*2.0*PI / sides));
int const y = round(center_y - radius * sin(i*2.0*PI / sides));
printf("vertex %d %d 0\n", x, y);
}
}
int main(void)
{
puts("attribs 0 185 80"); /* color: green */
draw_polygon(300, 210, 150, 5); /* draws pentagon */
puts("attribs 255 15 240"); /* color: magenta */
draw_polygon(150, 320, 100, 7); /* draws heptagon */
puts("!");
}
OPTIONS
In addition to the options common to all programs based on libnetpbm (most notably -quiet, see Common
Options ), pamtris recognizes the following command line options:
<dl compact="compact">
-width=width
Sets the width of the internal frame buffer and, by extension, of the output PAM images, given in
number of columns. This must be an integer in the closed range [1, 8192].
This option is mandatory.
-height=height
This is the height of the internal frame buffer and, by extension, of the output PAM images, given
in number of rows. This must be an integer in the closed range [1, 8192].
This option is mandatory.
-num_attribs=attributes_per_vertex
This is the number of attributes per vertex. The depth of the output PAM images equals this value
plus one (to accommodate the alpha plane). The argument must be an integer in the closed range [1,
20].
The input instruction stream may override this with a reset command.
You must specify exactly one of -num_attribs, -rgb, and -grayscale.
-tupletype=tupletype
This is the tuple type for the output PAM images. The argument is a string which may be no longer
than 255 characters.
The input instruction stream may override this with a reset command.
The default is a null string.
This option cannot be specified together with -rgb or -grayscale.
-rgb This is a convenience option which simply serves as an alias for -num_attribs=3
-tupletype=RGB_ALPHA. In other words, this option is a quick way to specify that you are going to
use pamtris to draw RGB(_ALPHA) color images directly, and the three vertex attributes are the
red, green and blue levels of the color associated with the vertex, in that order.
The input instruction stream may override this with a reset command.
You must specify exactly one of -num_attribs, -rgb, and -grayscale.
This option was new in Netpbm 10.85 (December 2018).
-grayscale
Another convenience option, similar to -rgb; except this one is an alias for -num_attribs=1
-tupletype=GRAYSCALE_ALPHA. The one vertex attribute is the gray level associated with the vertex.
The input instruction stream may override this with a reset command.
You must specify exactly one of -num_attribs, -rgb, and -grayscale.
This option was new in Netpbm 10.85 (December 2018).
-maxval=maxval
Sets the maxval of the output PAM images, which is also the maximum permitted value for each
vertex attribute. This must be an integer in the closed range [1, 65535].
The default value is 255.
The input instruction stream may override this with a reset command.
INSTRUCTION CODE
The input for pamtris consists of a stream of text lines read from Standard Input.
Empty lines or lines that contain only white space characters are called blank lines and are ignored.
When a # occurs anywhere in a line, pamtris ignores it along with every character after it. In other
words, everything from the # until the end of the line receives the same treatment as white space.
Lines which are not blank must contain a sequence of strings, called tokens, separated by white space.
The first such token must be one of the commands recognized by pamtris, and all further tokens are
interpreted as the arguments for that command, if it takes any. When an insufficient number of arguments
is provided for a command, the line is considered invalid and is given the same treatment as a blank
line. The same happens when an out of range argument or one of a kind different of what is expected is
given (for example, when you give a string of letters where a numerical value is expected), or when an
unrecognized command/argument is found. When a number of arguments greater than that required for a
particular command is provided, only the portion of the line up to the last required argument is
considered and any further tokens are ignored.
pamtris is case-insensitive. That is, mode, MODE, mODe, etc. are all treated the same way.
The commands recognized by pamtris are:
mode
attribs
vertex
print
clear
reset
quit
You may use a minimum unique abbreviation of a command name. You may use an exclamation mark (!) in
place of the print command name and an asterisk (*) in place of clear.
The functions of the commands are as follows.
mode { triangles | strip | fan }
This makes pamtris enter a new drawing mode. The argument is a word which specifies the mode to
change to. Instead of a full argument name, it is permissible to provide a minimum unique
abbreviation, which has the same effect. The drawing mode will remain the same until the next mode
command is given.
This command also resets the current vertex list, which is (re)initialized to an empty state after
the command is executed. One may add new vertices to this list through successive invocations of
the vertex command (see below). You do not have to worry about providing "too many" vertices,
since the vertex list is virtualized: pamtris maintains only the state pertaining to three
vertices at any one time. The current vertex list is initially empty.
It is permissible to give pamtris a mode command which instructs it to enter a drawing mode it is
currently already in. One might use this approach to reset the current vertex list without
changing the current drawing mode.
Regardless of the current drawing mode, the program immediately rasterizes a new triangle into the
frame buffer as soon as you provide the necessary vertices for it through the current vertex list.
(If you reset the vertex list before giving all the vertices necessary to draw a new triangle, the
program effectively discards from the list any vertices that might have been pushed into the
vertex list up to that point without using them to draw any new triangles.)
In the following descriptions of each drawing mode, triangles' and vertices' indices (ordinal
numbers) are 0-based.
The triangles argument instructs pamtris to enter the "TRIANGLES" drawing mode. While in this
mode, a series of separate triangles is constructed. Every three vertices pushed into the current
vertex list specify a new triangle. Formally, this means that every Nth triangle is specified by
vertices 3*N, 3*N + 1, and 3*N + 2. This is the default initial mode and is therefore not required
to be set explicitly before drawing any triangles.
The strip argument instructs pamtris to enter the "STRIP" drawing mode. While in this mode,
pamtris constructs a "triangle strip." That is, the first three vertices pushed into the current
vertex list specify the first triangle, and every new vertex pushed after that specifies, together
with the previous two, the next triangle. Formally, this means that every Nth triangle is
specified by vertices N, N + 1, and N + 2.
The fan argument instructs pamtris to enter the "FAN" drawing mode. While in this mode, a so-
called "triangle fan" is constructed. That is, the first three vertices pushed into the current
vertex list specify the first triangle, and every new vertex pushed after that specifies, together
with the previous vertex and the first one, the next triangle. Formally, this means that every Nth
triangle is specified by vertices 0, N + 1, and N + 2.
attribs a<sub>0 a<sub>1
a<sub>2 ... a<sub>num_attribs - 1
This updates the current attribute values list. This command takes as arguments a sequence of
num_attribs integers which represent the values of the attributes to be associated with the next
vertex. This sequence of values is the just mentioned "current attribute values list."
Each ith argument, where 0 ≤ i < num_attribs, indicates the value to be assigned to the ith
attribute of the current attribute values list. All arguments must be integer values in the closed
range [0, maxval]. If a number of arguments less than the current value of num_attribs is given,
the command is considered invalid and is therefore ignored.
The current attribute values list remains unchanged until the next valid attribs or reset command
is given. The attribs command allows one to change the values of each attribute individually,
while the reset command is not specifically designed for that function, but it has the side effect
of setting all values in the current attribute values list to the maxval (see below).
All values in the current attribute values list are initially set to the maxval.
<dt id="cmd_vertex">vertex x y z [w]
Adds a new vertex to the current vertex list (see the mode command above), assigning the values of
the arguments to its respective coordinates, and the values in the current attribute values list
(see the attribs command above) to the respective entries in the attribute list associated with
the vertex.
x, y and z must be integer values in the closed range [-32767, 32767]. x and y represent,
respectively, the column and row of the tuple which corresponds to the location of the vertex.
Such values may correspond to tuples outside the limits of the frame buffer. The origin of the
coordinate system is at the top-left tuple of the frame buffer. The X-axis goes from left to
right, and the Y-axis from top to bottom. A negative value for x indicates a column that many
tuples to the left of the leftmost column of the frame buffer. Likewise, a negative value for y
indicates a row that many tuples above the uppermost row of the frame buffer. Observe that those
coordinates correspond directly to a particular point in the coordinate system delineated above,
regardless of whether you are trying to draw an image which is supposed to look as if viewed "in
perspective" or not; pamtris does not "warp" the coordinates you give in any way. Therefore, if
you want to draw images in perspective, you must compute values for x and y already projected into
pamtris' coordinate system yourself, using an external perspective projection method, prior to
giving them to the program.
The z parameter represents the Z-coordinate of the vertex, which is used to compute depth values
for tuples within the areas of rasterized triangles. Intuitively, smaller values for z mean
"closer to the viewer," and larger ones mean "farther away from the viewer" (but remember: as said
above, the x and y coordinates are not warped in any way, which implies that they are not affected
by z; neither by the next parameter, for that matter).
Optionally, you may provide a w parameter which represents a "perspective correction factor" used
to properly interpolate vertex attributes across the area of the corresponding triangle. This must
be an integer value in the closed range [1, 1048575]. If you don't provide a value for it, the
default value of 1 is used (hence, if you want to nullify the effects of perspective correction on
a triangle so the output samples are computed as if just linearly interpolated, simply do not
provide a value for w for any vertex of the triangle). If, however, you intend to draw 3D geometry
in perspective, you must provide an appropriate value for this parameter, otherwise the output
images might look very wrong. w was new in Netpbm 10.85 (December 2018).
Consider the typical model of the so-called "viewing frustum" used to project vertices in 3D
"world space" onto a planar "image space." If we adopt the convention that a "z-plane" means any
plane parallel to the view-plane (a.k.a. picture plane, a.k.a. near plane), the value of w for a
vertex should then be the (smallest/euclidean/orthogonal) distance in pixels between the
projection reference point (PRP, or "eye") and the z-plane containing the vertex. One way to
compute this value amounts to simply taking the dot product between the 3D vector r and the 3D
unit vector n, where r is the vector which goes from the projection reference point (PRP, or
"eye") to the vertex, and n is a view-plane normal (VPN) of unit length which points away from the
PRP. In other words, this is equal to the length of the orthogonal projection of r on the line
"determined" by n.
(Note: For any two 3D vectors a and b, with respective real scalar components a<sub>x, a<sub>y,
a<sub>z and b<sub>x, b<sub>y, b<sub>z, the dot product between a and b is simply
a<sub>x*b<sub>x + a<sub>y*b<sub>y + a<sub>z*b<sub>z.)
print
This writes a PAM image to Standard Output whose raster is a copy of the current contents of the
image buffer. The values of the WIDTH and HEIGHT fields are the same as the width and height,
respectively, of the frame buffer, which were given on the command line during program invocation.
The MAXVAL field is equal to the current maxval; the DEPTH field is equal to the current value of
num_attribs + 1; and the TUPLTYPE field is equal to the current tupletype.
This command has no effect upon the current drawing state. E. g. it does not modify the current
drawing mode, the current vertex list, etc.
One may issue an arbitrary number of print commands at different positions in the input
instruction sequence to produce a multi-image PAM stream.
clear [ image | depth ]
Clears the frame buffer. That is, all samples in the image buffer are once again set to 0, and all
entries in the depth buffer are once again set to the maximum permitted depth value.
Optionally, one may provide an argument to only clear either the image buffer or the depth buffer
individually, while leaving the other intact. With the image argument, only the image buffer is
cleared; with the depth argument, only the depth buffer is cleared. Instead of full argument
names, one may provide a minimum unique abbreviation, which has the same effect. The single
character z is also accepted as an alias for depth.
Like the print command, this command has no effect upon the current drawing state either.
reset maxval num_attribs [tupletype]
This updates the current maxval and number of attributes per vertex (num_attribs), resetting the
<u>image</u> buffer with a new maxval and number of samples per tuple while at it. The parameter
maxval must be an integer in the closed range [1, 65535], and num_attribs must be an integer in
the closed range [1, 20].
Optionally, after the second argument, one may provide a string to be assigned to the current
tupletype. The string goes from the first character after the second argument which is not white
space and continues until (and including) the last character before the end of the line which is
not white space. If a new tupletype is not provided, or the provided string is longer than 255
characters, the empty string is assigned to the current tupletype.
The side effects of running this command are
• The new image buffer is completely cleared once the command is executed.
• All values in the current attribute values list are set to the new maxval.
• The current vertex list is reset.
However, it does not touch the depth buffer: it is left the same way as it was found before the
command. Also the drawing mode remains the same (e. g. if pamtris was in FAN mode, it will
continue in that same mode, etc.).
If this command is given with an invalid value for maxval or num_attribs, it is ignored and
therefore none of the above side effects apply, nor do the current maxval, num_attribs or
tupletype change at all.
It is permissible to give a value for maxval and num_attribs equal to the current maxval and
num_attribs, respectively, although the above side effects will still apply even in such cases.
Since this command deals with memory allocation, it may fail to execute successfully. If that
happens, no lines of input will be read anymore and pamtris will be terminated as if the quit
command was given.
quit
This terminates pamtris. It will not read any more lines of input after this command.
TIPS
Texturing
It is possible to apply so-called "textures" to images produced with pamtris by using a pair of vertex
attributes as texture coordinates, then using pamchannel(1) to select the appropriate channels in the
output image(s), and finally processing the result through pamlookup(1), providing the desired texture
file as a "lookup table." If you are drawing pictures in perspective, make sure to provide adequate
values for the w parameter to your vertex commands ( see above ) so that the resulting samples in the
images produced by pamtris are perspective-correct. You might want to consider using pnmtile(1) to make
textures which are inteded to be "repeated" along triangle meshes.
The animated GIF below is an example of what can be achieved using the technique described above (Earth
texture from nasa.gov ).
Rotating Earth
Anti-aliased edges
pamtris performs no anti-aliasing on triangle edges by itself. However, it is possible to obtain anti-
aliased images through a "super-sampling" approach: draw your image(s) at a size larger than the desired
final size, and then, when all postprocessing is done, downscale the final image(s) to the desired size.
Drawing images with twice the desired width and height, then downscaling them to the intended size while
disregarding gamma (i.e. what pamscale -linear does) often produces good enough results; but the larger
the ratio "size of original image" / "size of downscaled image" , the better the quality of the anti-
aliasing effect.
SEE ALSO
pampick(1) pamchannel(1) pamstack(1) pamlookup(1) pamarith(1) pamscale(1) pamdepth(1) pamexec(1) pam(1)
HISTORY
pamtris was new in Netpbm 10.84 (September 2018).
DOCUMENT SOURCE
This manual page was generated by the Netpbm tool 'makeman' from HTML source. The master documentation
is at
http://netpbm.sourceforge.net/doc/pamtris.html
netpbm documentation 15 April 2021 Pamtris User Manual(1)