Often we need to show a collage of shapes/images, and then move some of its parts to a new position, to create a new shape. 

Almost like how a car gets transformed into Optimus Prime! ;)

Psychologically, when such transformation happens right before your eyes, it is convincing that just by re-arranging parts of a car, you can actually create that robot.

In real world, such demonstration has practical uses.
Here are two typical use cases:

1. I want to suggest a change in a GUI by re-arranging some of its parts.
   (e.g. Bug#76937)

2. I want to show how a process can be re-engineered.

As a change agent, I must reassure my audience that the new proposal is not radically different.

But when I show the "before" and "after" pictures in different slides, my audience may not get that comfort. The transition is too abrupt.

So if I can gradually morph the initial image into final image piece by piece, the audience would readily grasp that the new situation is just a rehash of old elements (with only a few new elements).

To create this effect, I may have to cut up the GUI into individual parts beforehand, and re-assemble them to look like the original GUI. In case of a flowchart, I can simply move the individual boxes.

DESIRED FEATURE:
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Please provide a facility so that we can move the position of any object along a curve/line/polyline.

(This is a special case of "fly in" animation, but instead of the object coming in from outside the canvas, the movement would be within the canvas.)

This kind of animation is not yet provided in Impress.

IMPLEMENTATION NOTES:
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The vector used as path of the movement can be hidden by various methods:
1. increasing its transparency 
2. using a visibility control (new feature)
3. Making it same color as background
4. Insert a blank "canvas" object, and push the path below this canvas.
5. Defining a new type of object that is not rendered in slideshow mode.