Doryen Bubeck - Cryo-EM Flashcards
Outline the importance of understanding the fourier transform for Cryo-EM? Why are we learning about fourier transforms in the context of Cryo-EM?

Outline the three key parameters of a wave?
Remember
Frequency = 1/wavelength

How can the following wave be plotted in Fourier space/Frequency space?
Note - There are two plots one against Amplitude and the other against Phase!


Application of the fourier transform to the ear/brain perceives sound?

In it’s essence what does a Fourier transform do?

In its essence what does a inverse Fourier transform do?

What’s it the Fourier transform of this wave? What are the consituent waves?


How can we represent 2D waves as in 2D space & grey scale oscillations?

What is the wavelength and frequency for both plots?


What does a Fourier Transform of the attached 2D wave look like?


What does a Fourier Transform of the attached 2D wave look like?


What does a Fourier Transform of the attached 2D wave look like?


What happens when we combine two multiple 2D sine waves?


Summary of the Fourier Transform?
- Waves can exist in 1-D, 2-D, 3-D described with an amplitude, phase, and 1-D, 2-D, 3-D frequency component(s).
- The Fourier transform of a wave is a way to represent a wave in terms of its frequency instead of wavelength: i.e., in “reciprocal space or frequency space”.
- Multiple simple waves can be combined to form a composite wave –> these component sine waves of composite waves can be discerned in reciprocal space
How can we apply the ideas of Fourier transform of waves to actual images?

What happening here?


How will changing a single pixel in the image impact the Fourier transform
If you change a single pixel in the image - it will subtlety change every Fourier component
This is information is delocalized
Just like in X-Ray crystallography - every dot on the detector has information for the entire molecule
What impact would removing Low spatial frequencies and high spatial frequencies have on our image?

What is important phases or amplitdues when it comes to producing an image?

Sublecture 2 - summary?

What are Friedel pairs? Why do they appear?

Does every Fourier transform have a DC component?

Difference between X-Ray and Cryo-EM when it comes to Fourier and Inverse Fourier transform?

What’s all the fuss about? Why is Cryo-EM important?




















































































