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Solid Texturing in Polyray
Alexander Enzmann
This document describes how to go about defining and developing solid
textures for the Polyray raytracer.
The "noise surface" is a general purpose 3D solid texturing operation. The
options specified in the declaration allow a great deal of control over the
coloring of a surface and over the bumpiness of a surface. The complexity
and speed of rendering of the noise surface type lies between the standard
shading model and the "special" surfaces.
Definitions:
The terms "vexper" stands for a vector expression of some sort (like <0,0,1>
or 2*<3,1,1>, etc.) and "fexper" stands for a floating point expression of
some sort (like 1, 2.0 * (3 - 4), etc.)
A color is defined by red, green, and blue values from zero to 1, inclusive.
A color can appear as a vector expression like: <1, 0, 0> (for red), or
if it is one of the defined colors (see color.doc) then the name of the
color can be used.
A noise surface declaration has the form:
texture {
noise surface {
// Standard shading model values
color vexper // Color to use for amb/diff/..
ambient fexper // Amount of ambient
diffuse fexper // Amount of diffuse
specular vexper, fexper // Color and amount of highlights
transmission vexper, fexper, fexper // Color, amount, ior of transparency
reflection fexper // Amount of reflectivity
microfact kind angle // Specular model and falloff angle
color_map(map_entries) // Lookup table for surface color
// Solid texturing functions
position_fn index // Which position
position_scale fexper // Scaling factor for position
turbulence fexper // Amount noise affects position
octaves fexper // # of octaves of noise
lookup_fn index // Which color lookup function
// Surface bumpiness/ripple modifiers
normal_fn index // Which type of bumpiness
bump_scale fexper // Bumpiness of the surface
frequency fexper // Frequency of ripples
phase fexper // Offset of ripple wavefronts
}
}
Not all of the components need to be specified. If components are left out,
then the associated effects will not be applied. For example if "normal_fn"
is not specified then there will be no modification of the normal to the
surface - it will stay as smooth as it started.
Color Maps
Each entry in a color map has the form:
[start_value, end_value, start_color, end_color]
or
[start_value, end_value, start_color, start_alpha, end_color, end_alpha]
When Polyray looks for a color in a color map it starts with an index
value generated by the 3D texturing function defined by the surface. If this
value is between "start_value" and "end_value", then a resulting color is
calculated that is between "start_color" and "end_color".
It is also possible to specify transparency ("alpha") values for each color
in the color map. This value ranges from 0 (not transparent at all) to 1
(fully transparent). A color map that uses transparency would appear like
this:
color_map(
[-2, 0, blue, 0.8, blue, 0.8]
[-1, 0.5, green, 0.5, green, 0.5]
[ 0.5, 1.0, green, 0.5, tan, 0]
[ 1.0, 1.7, tan, tan]
[ 1.7, 2, white, white])
Making use of the alpha value is a little more subtle than it may first appear.
The reason for this is that during shading the "color" part is used for the
ambient and diffuse shading, then the alpha is used to determine how much of
the color "behind" the surface will be added to the final color. Added to this
is that the color coming from behind the surface is filtered by the surface
color - if you have a transparent green in front of a transparent blue then you
will not see anything through the two surfaces, all color would be filtered out.
In order to help with transparency in noise surfaces, it is possible to specify
values for the "transmission" component of the shading. If this part of the
texture is defined, then the color part of the transmission will be used for
the filter. A typical declaration would be:
transmission white, 1, 1
Which will prevent Polyray from filtering the transmitted light. What you
will get is the sum of the surface color and the color that is coming from
behind the surface.
Solid Texturing Functions
The way the final color of the texture is decided is by calculating a floating
point value using the following general formula:
index = lookup_fn(position_scale * position_fn +
turbulence * noise3d(P, octaves))
The index value that is calculated is then used to lookup a color from the
color map. This final color is used for the ambient, diffuse, reflection and
transmission filters. The functions that are currently available, with their
corresponding indices are:
Position functions:
Index Effect
1 x value in the object coordinate system
2 x value in the world coordinate system
3 Distance from the z axis
4 Distance from the origin
6 Distance around the y axis (from 0 -> 1, counterclockwise)
default: 0.0
Lookup functions:
Index Effect
1 sawtooth function, result from 0 -> 1
2 sin function, result from 0->1
3 ramp function, result from 0->1
default: no modification made
Definitions of these function numbers that make sense are:
define position_plain 0
define position_objectx 1
define position_worldx 2
define position_cylindrical 3
define position_spherical 4
define position_radial 5
define lookup_plain 0
define lookup_sawtooth 1
define lookup_sin 2
define lookup_ramp 3
Normal Modifying Functions
define plain_normal 0
define bump_normal 1
define ripple_normal 2
define dented_normal 3
Marble-like Textures
// The standard sort of marble texture
define white_marble
texture {
noise surface {
color white
ambient 0.3
diffuse 0.8
specular 0.3
microfacet Reitz 5
position_fn position_objectx
lookup_fn lookup_sawtooth
octaves 3
turbulence 3
color_map(
[0.0, 0.8, <1, 1, 1>, <0.6, 0.6, 0.6>]
[0.8, 1.0, <0.6, 0.6, 0.6>, <0.1, 0.1, 0.1>])
}
}
// Nice blue agate texture
define sapphire_agate
texture {
noise surface {
ambient 0.5
diffuse 0.7
position_fn position_objectx
position_scale 1.1
lookup_fn lookup_sawtooth
octaves 3
turbulence 2
color_map(
[0.0, 0.3, <0, 0, 0.9>, <0, 0, 0.8>]
[0.3, 1, <0, 0, 0.8>, <0, 0, 0.4>])
}
scale <0.5, 0.5, 0.5>
}
Wood-like Textures
// Create a wood texture. Concentric rings of color
// are wrapped around the z-axis. There is some turbulence
// in order to keep the rings from looking too perfect.
define light_wood <0.6, 0.24, 0.1>
define median_wood <0.3, 0.12, 0.03>
define dark_wood <0.05, 0.01, 0.005>
define wooden
texture {
noise surface {
// Define the standard shading components
ambient 0.2
diffuse 0.7
specular white, 0.5
microfacet Reitz 10
// Define how coloring is applied
position_fn position_cylindrical // Color lookup is rings about z-axis
position_scale 1 // This affects spacing between rings
lookup_fn lookup_sawtooth // Keep the lookup value from 0->1
octaves 1 // Keep the turbulence smooth
turbulence 1 // Keep rings from being too circular
// Define how the colors change from ring to ring
color_map(
[0.0, 0.2, light_wood, light_wood]
[0.2, 0.3, light_wood, median_wood]
[0.3, 0.4, median_wood, light_wood]
[0.4, 0.7, light_wood, light_wood]
[0.7, 0.8, light_wood, median_wood]
[0.8, 0.9, median_wood, light_wood]
[0.9, 1.0, light_wood, dark_wood])
}
}
Gradient Textures
// This is an example of a gradient texture.
define mountain_colors
texture {
noise surface {
ambient 0.2
diffuse 0.8
specular 0.2
position_fn position_objectx
color_map(
[-128, 0, blue, blue]
[ 0, 20, green, green]
[ 20, 40, green, tan]
[ 40, 90, tan, tan]
[ 90, 128, white, white])
}
// The texture is rotated 90 degrees so that is is applied along the
// y-axis rather than along the x-axis. This is so that the coloring
// will correspond to height.
rotate <0, 0, 90>
}
Generic Turbulent Textures
// Simple color map texture
define whorl_texture
texture {
noise surface {
color green
ambient 0.3
diffuse 0.8
lookup_fn lookup_sawtooth
octaves 2
turbulence 2
color_map(
[0.0, 0.3, green, blue]
[0.3, 0.6, blue, skyblue]
[0.6, 0.8, skyblue, orange]
[0.8, 1.0, orange, red])
}
scale <0.5, 0.5, 0.5>
}
Cloudy Sky Texture
// Defines a turbulent texture with colors that go from grey in
// the middle of the clouds, white at the edges, and blue elsewhere.
// To use it, make a big sphere (possibly squashing it so the top isn't
// too far away), apply this texture with scaling values that spread
// the clouds to the desired amount.
define cloudy_sky
texture {
noise surface {
ambient 0.9
diffuse 0
specular 0
turbulence 6.0
position_fn position_worldx
lookup_fn 1
octaves 4
color_map(
[0.0, 0.6, <0.4, 0.4, 0.4>, <1, 1, 1>]
[0.6, 0.8, <1, 1, 1>, <0.196078, 0.6, 0.8>]
[0.8, 1.0, <0.196078, 0.6, 0.8>, <0.196078, 0.6, 0.8>])
}
}
Ripple (wavy) Textures
An example of a texture that uses ripples is:
define blue_ripple
texture {
noise surface {
// Define the standard shading components
color <0.4, 0.4, 1.0>
ambient 0.3
diffuse 0.4
specular white, 0.7
reflection 0.5
microfacet Reitz 10
// Define how how the surface will be bumped
normal ripple_normal // Make a wavy surface
frequency 100 // This results in fairly tight ripples
bump_scale 2 // Make reasonably large bumps
}
scale <10, 1, 10>
}
This sample combines a marble coloration with rippling:
define ripple_marble_texture
texture {
noise surface {
color white
position_fn 1
lookup_fn 1
octaves 4
turbulence 3
normal 2
frequency 10
bump_scale 5
ambient 0.1
diffuse 0.5
specular 0.6
microfacet Reitz 10
color_map(
[0.0, 0.8, <1, 1, 1>, <0.6, 0.6, 0.6>]
[0.8, 1.0, <0.6, 0.6, 0.6>, <0.1, 0.1, 0.1>])
}
translate <-5, 0, 0>
}