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Author Topic: Formula-j1_QJ-1  (Read 358 times)
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« on: October 04, 2013, 05:52:38 PM »

A Quaternion Julia using the built-in formula "j1" for Function #1 within the application QuaSZ while using the Composite Feature.


There are different ways to handle his feature, so I will be discussing just one of those that works well for me.  Plus it answers another query which I received about the Composite feature.  In this case, the steps involved will be based upon the current release, and should work just as well with back releases.  Showing only one way to create a Composite image, this experiment should give the basics necessary for further exploration.

After initially starting QuaSZ, the default "TITLE" image appears, which is a Quaternion Julia using the p0; z2+c formula, and the one that I will use for this demo.  It most likely will have the size of 320x240, unless it has been modified and saved by the User.  At this point, maximize the program window, and the image window as well, to fill the monitor's screen.

Now the next step will be the use of ZOOM mode, and there are three ways to initiate this:
    1.   Using the IMAGE menu option of ZOOM.
    2.   Left-clicking the mouse within the image window.
    3.   Right-clicking the within the image window for a popup menu, and choosing ZOOM.

From here we will zoom out to create a "box" four times larger than the object inside the drawing area (not four times larger than the whole area).  For further details on the many functions of the ZOOM mode, please see the Help file.

Position the zoom box so that the object is in the upper left corner, with the sides of the box almost touching the object.  Then either hit the ENTER key or the Space Bar to initiate the zoom.  After rendering, the object should now only be in the upper left quadrant of the drawing area.

From the EDIT menu, choose the COPY_DATA option.  Now from the IMAGE menu, go down to the FIGURE option and choose number 2 (the number 1 figure should have previously had a check mark beside it).  Then go back to the EDIT menu and select PASTE_DATA, so that the saved active data and it's current palette will be made available.  You most likely will get a popup warning message asking the following:
    "Do you wish to save the current view before pasting?"
Please reply with the "No" choice at this time.  What happens is that the very same image is rendered for figure 2 as was done for figure 1.

This is the step where the number 2 image gets relocated to a different quadrant.  Unless you are really good at editing the Minimum and Maximum values of the Space To Calculate, located in the Edit Quaternion Parameters popup window, I suggest the use of the ZOOM mode again.  After initiating the ZOOM, expand the zoom box to the same size as the drawing area, and position the object in the lower left corner (almost touching the object with the box sides).  Then either hit the ENTER key or the Space Bar to initiate the zoom.  Now the figure 2 object is filling the lower left quadrant.

Go into the Edit Quaternion Parameters popup window and modify the "X" Rotation value by 90 degrees more than it's current value (which should be from 30 to 120 is the default image was used).  And then apply this new modification by rendering the figure 2 image.

And finally to the last step.  On the IMAGE menu option of FIGURE, choose COMPOSITE to get the popup window.  Set figure 1 to the Merge value of "1; SUM", then set figure 2 to the value of "1; SUM".  Now click the "OK" button to render both figures into a single image.  This will take a few moments, but be patient.  (If this were a larger and more complex set of figures, it could take several minutes.)  The finished rendering should now have a "top" view and a "front" view of the object.

As an example of how far one could go with such a technique, the attached image should give a good representation.  This basic procedure can be used any many other ways.  One such example is by combining two completely different objects on top of each other.  Try using the various Merge options when doing this to see what effects are produced.

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