Here I explain the concept of discrete image convolution with a new visualisation and examples.
I also illustrate the properties of convolution.
CONTENTS
========
00:00 Intro
00:37 Images as functions
04:02 Terms and Symbols used in Convolution
06:18 The Convolution Process
09:18 A new way to look at convolution - integral transform projection
10:59 Examples 1 - Spatially invariant PSF and blurring
13:38 Properties of convolution
16:52 Examples 2 - Spatially variant PSF and sharpening
19:03 Inverse filtering and deconvolution (Intro)
20:36 Conclusions
SUPPORT PUMA
============
PUMA is an open source microscopy project. You can help support the project by:
1. Become a Patron: https://www.patreon.com/PUMAMicroscope
2. Donate via PayPal: https://www.paypal.com/donate/?hosted_button_id=NPMYJKJATDLQ4
3. Simply subscribing to this YouTube channel, like, comment and share these videos.
4. Spread the word - post the news about PUMA and link to this YouTube channel on your social media sites and any other outreach method (tell your friends, colleagues, students or teachers and lecturers about PUMA, for example).
5. Consider purchasing your optics and related supplies from our affiliated online optics store, OptArc.co.uk ( https://www.optarc.co.uk/ )
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OTHER LINKS
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My preprint on integral transform deconvolution:
https://hal.science/hal-04489222/file/PJT_IntegralTfrm_Manuscript.pdf
The deconvolve.net website:
https://www.optarc.co.uk/deconvolve/
FOR FURTHER INFORMATION
=======================
1. Open access write-up about PUMA on the FreeCAD blog:
https://blog.freecad.org/2023/02/13/a-research-grade-open-source-microscope-made-with-freecad/
2. The official PUMA GitHub page where you can download the specs and source files to build or customise your own PUMA system:
https://github.com/TadPath/PUMA
3. The scientific peer reviewed publication on PUMA that was published in 2021 in the Journal of Microscopy (a journal of the Royal Microscopical Society) available here:
https://pubmed.ncbi.nlm.nih.gov/34151425/
https://onlinelibrary.wiley.com/doi/10.1111/jmi.13043
Thanks for your interest in the PUMA microscope system.
PJT 11/04/24