Transforms as Plug-ins

This tutorial assumes you are already familiar with the material in  The Basics of UltraFractal 5 and Its Use of Classes and  Changing and Exploring Plug-ins. As for the first two tutorials we will be using Orbit Traps written by Damien Jones.

So what is a transform? It is a method for mapping pixel positions to new locations.  If a transform is applied using the mapping tab in Ultrafractal, the transform is applied to the entire view screen/fracta;. In Orbit Traps there is a plug-in called Trap Position, which is actually a transform. What is different about applying a transform as a plug-in Orbit Traps rather than on the mapping tab is that the transform will go through the same number of iterations as the z value passed from the fractal formula. Depending upon how the transform is written, this can produce dramatically different results from using the mapping tab.

We will start with a single layer upr and examine some of the parameters for Trap Position. A trap shape of Point  will be used because it is the simplest trap available with little defining shape. Any interesting shapes will come from the application of the transform(s) to the shape. Trap Position has the following parameters:

1. Trap center - shifts the trap center

2. Follows initial z - moves the trap center according to the initial value of z

3. Trap drift - moves the trap center for each iteration

4. Trap scale

5. Rotation - rotates the trap

6. Rotation step - amount to change the rotation of  the trap at each iteration

7. Skew - skews the trap

8. Skew step - amount to change the skew of the trap at each iteration

9. Aspect ratio - how square the trap is.

Transform_1 {
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}

Try experimenting with other parameters in Trap Position and observe the effects.

In the next upr Trap Position has been replaced with the Radial Waves Transform which is in mt.ulb. This transform has the parameters:

1. Center - shifts the transform center

2. Iterations - number of times the transform is iterated for each iteration of the fractal formula

3. Theta frequency - determines the number of "kinks" on each radiating frond

4. Theta amplitude - magnitude of the "kinks"

5. Radius frequency - determines the number of radiating fronds

6. Radius amplitude - determines the thickness of the frond

In the upr the center has been replaced with the screen center. Several of the other parameters have also been changed. The user should try setting the center back to (0,0) to see what effect this has on the image, and to explore the effects of the other parameters.

Transform_2 {
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}

Those of you who have used the mapping tab in older versions of UltraFractal are aware that multiple transforms can be applied to the image, and that the order of the transforms is important. In the next upr Trap Position will be replaced with the wrapper Transform Merge. This wrapper packages up ten transforms, with the default plug-in being Null Transform. The Null Transform plug-in can be replaced with transforms chosen by the user so that multiple transforms can be applied. In the next upr the layer labeled "Right Panel" shows the right panel and the layer labeled "Left Panel" shows the left panel. The two panels differ only in the order of the two transforms and the gradient used.

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Transform Merge is a very useful wrapper. Sometimes the user may want to modify the the position, size, rotation, etc. of a transform. This can be conveniently done using the wrapper. Put your chosen transform in the second position and Trap Position in the first position. The parameters in Trap Position can now be used to adjust the transform. In this case we will use a special transform writtern by Mark Townsend, called Trap Shape which itself is actually a wrapper. It packages a Trap Shape which can be chosen by the user to use as a transform. The user should try changing parameters in Trap Position to see how they modify the transform.

Transform_4 {
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}

Finally, by use of TrapShape Block, it is possible to apply a transform to a texture. The TrapShape Block wrapper provides plug-in slots for Trap Position (our transform slot) and Trap Shape. For the Trap Position slot we have substituted the Ripples transform which is in standard.ulb, and for Trap Shape we have used the Modified Perlin Textures plug-in. The use should experiment with the parameters to see what effects can be obtained.

Transform_5 {
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