user30731: I have a pre-made slides of mostly text and math formulae, and I want to make a kind of video presentation from it. I need a software that can do the following things:

Smooth difference transition. What I mean by that: if I have two images with only a slight difference in them (say, one added word) I want to apply a transition where this difference fades in or somewhat dynamically pops in without disturbing the rest of the image;
Sliding up/down/left/right with controlled speed and acceleration. To create an effect of a camera sliding over a big sheet of paper.
Shaky camera effect, basically make an image "wiggle" (not very important).

That's pretty much it. So far I've tried only OpenShot and it doesn't seem like a good choice for that, although if you have a tutorial in mind that shows how to do such things please let me know.

user24627: Something like this would be done in After-Effects. There is a free trial of the software - I would highly recommend trying this.

user22638: Shotcut
Shotcut might be a bit better then OpenShot. It is free, open-source, and you can do the things you described, just check these tutorials:

Transitions
Camera shake


DaVinci Resolve
If you want a really professional software, go with DaVinci Resolve. It is free and cross platform, but has a bigger learning curve, although the things you described are not that hard:

Transitions
Camera shake



30731: <p>I have a pre-made slides of mostly text and math formulae, and I want to make a kind of video presentation from it. I need a software that can do the following things:</p>
<ol>
<li>Smooth difference transition. What I mean by that: if I have two images with only a slight difference in them (say, one added word) I want to apply a transition where this difference fades in or somewhat dynamically pops in without disturbing the rest of the image;</li>
<li>Sliding up/down/left/right with controlled speed and acceleration. To create an effect of a camera sliding over a big sheet of paper.</li>
<li>Shaky camera effect, basically make an image &quot;wiggle&quot; (not very important).</li>
</ol>
<p>That's pretty much it. So far I've tried only OpenShot and it doesn't seem like a good choice for that, although if you have a tutorial in mind that shows how to do such things please let me know.</p>
 24627: <p>Something like this would be done in After-Effects. There is a free trial of the software - I would highly recommend trying this.</p>
 22638: <h2><a href="https://shotcut.org" rel="nofollow noreferrer">Shotcut</a></h2>
<p><a href="https://shotcut.org" rel="nofollow noreferrer">Shotcut</a> might be a bit better then OpenShot. It is free, open-source, and you can do the things you described, just check these tutorials:</p>
<ul>
<li><a href="https://www.youtube.com/watch?v=NUDCcq6WcJU" rel="nofollow noreferrer">Transitions</a></li>
<li><a href="https://www.youtube.com/watch?v=W2bm5zsqaxs" rel="nofollow noreferrer">Camera shake</a></li>
</ul>
<p><a href="https://i.stack.imgur.com/wkgOX.jpg" rel="nofollow noreferrer"><img src="https://i.stack.imgur.com/wkgOX.jpg" alt="Shotcut example project" /></a></p>
<h2><a href="https://www.blackmagicdesign.com/products/davinciresolve/" rel="nofollow noreferrer">DaVinci Resolve</a></h2>
<p>If you want a really professional software, go with <a href="https://www.blackmagicdesign.com/products/davinciresolve/" rel="nofollow noreferrer">DaVinci Resolve</a>. It is free and cross platform, but has a bigger learning curve, although the things you described are not that hard:</p>
<ul>
<li><a href="https://www.youtube.com/watch?v=0EEDwt89f6Y" rel="nofollow noreferrer">Transitions</a></li>
<li><a href="https://www.youtube.com/watch?v=1JKv-B03xV0" rel="nofollow noreferrer">Camera shake</a></li>
</ul>
<p><a href="https://i.stack.imgur.com/N1Uy1.png" rel="nofollow noreferrer"><img src="https://i.stack.imgur.com/N1Uy1.png" alt="DaVinci Resolve example project" /></a></p>
