# Convolution - for microscopists

**URL:** <https://forum.microlist.org/t/convolution-for-microscopists/2563>\
**Category:** Announcements\
**Created:** [June 7, 2024, 2:38pm UTC](https://forum.microlist.org/t/convolution-for-microscopists/2563 "2024-06-07T14:38:34Z")\
**Posts on this page:** 1\
**Page:** 1

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**Author:** ![P\_Tadrous](https://sea2.discourse-cdn.com/flex020/user_avatar/forum.microlist.org/p_tadrous/32/862_2.png) [@P\_Tadrous](https://forum.microlist.org/u/P_Tadrous)\
**Post date:** [June 7, 2024, 2:38pm UTC](https://forum.microlist.org/t/convolution-for-microscopists/2563/1 "2024-06-07T14:38:34Z")

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A ‘must’ for anyone who wants to understand image formation in microscopy and a primer to learning deconvolution.  
This includes an illustration of my new method of forming a convolution by integral transform projection. Please forward this link to your students if you think they will benefit from it:

[![](https://us1.discourse-cdn.com/flex020/uploads/microlist/original/2X/d/d05d17a1eb3766f735654ff4144b0d16c12fa72a.jpeg "Convolution - A new visualisation and intuition plus examples.") ](https://www.youtube.com/watch?v=yF7-Crkuf7Y)

# 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