Magnetic Resonance - Technology Information Portal Welcome to MRI Technology
Info
  Sheets

Out-
      side
 



 
 'Imaginary Numbers' 
SEARCH FOR    
 
  2 3 5 A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
Result : Searchterm 'Imaginary Numbers' found in 1 term [] and 1 definition [], (+ 1 Boolean[] results
1 - 3 (of 3)     
Result Pages : [1]
MRI Resources 
Shielding - Developers - MRI Technician and Technologist Career - Spectroscopy pool - Distributors - RIS
 
Imaginary Numbers
 
An imaginary number is a part of a complex number. Complex numbers are an extension of the real numbers. A complex number has a real and an imaginary part. The imaginary unit (i) is equal to the square root of -1. The complex conjugate is a pair of complex numbers with identical real parts and imaginary parts which differ only in sign (e.g.: 3 + 7i and 3 - 7i).
spacer
 
• Share the entry 'Imaginary Numbers':  Facebook  Twitter  LinkedIn  
 
Further Reading:
  Basics:
Imaginary Numbers
   by en.wikipedia.org    
Imaginary Number
   by mathworld.wolfram.com    
MRI Resources 
Process Analysis - Claustrophobia - General - Pathology - Research Labs - Shielding
 
Hermitian Symmetry
 
The symmetry in k-space is a fundamental property of Fourier transformations. For a two-dimensional example, let g(x,y) be a complex function, i.e. the value of g at any (x,y) is a complex number. If nothing is known about the function g, data throughout all of k-space is needed to fully characterize it.
If the function g is 'real', meaning that at every (x,y) the imaginary component of g(x,y) is zero, then you only need half as much data to characterize g. The result is redundancy between the data on one half of k-space and the other. Specifically, if G(kx,ky) is the Fourier transformation of g(x,y), and g(x,y) is real, then G(kx,ky)=G*(- kx,- ky), where * indicates a complex conjugate. The data in mirrored positions in k-space, i.e. (kx,ky) versus (- kx,- ky), are conjugates of each other.

See Imaginary Numbers and Complex Conjugate.
spacer

• View the DATABASE results for 'Hermitian Symmetry' (4).Open this link in a new window

 
Further Reading:
  Basics:
Echo-planar imaging (EPI) and functional MRI(.pdf)
1998   by www.uib.no    
MRI Resources 
Functional MRI - Examinations - Pathology - MRCP - Anatomy - Used and Refurbished MRI Equipment
 
Complex Data
 
The complex numbers extend the real numbers by including the imaginary unit i (satisfying i2 = - 1). The term 'complex' when used as an adjective means that the field of complex numbers is as the underlying number field considered. In MRI, complex data are used for example in the Fourier transforms.
spacer

• View the DATABASE results for 'Complex Data' (3).Open this link in a new window

 
Further Reading:
  Basics:
Complex Number
   by en.wikipedia.org    
  News & More:
Human brain more like city grid, less like bowl of spaghetti
Friday, 30 March 2012   by www.mnn.com    
MRI Resources 
Safety Products - Collections - Resources - Mass Spectrometry - Jobs - Patient Information
 
     1 - 3 (of 3)     
Result Pages : [1]
 Random Page
 
Share This Page
FacebookTwitterLinkedIn

MR-TIP    
Community   
User
Pass
Forgot your UserID/Password ?    



Personalized protocols (age, gender, body habitus, etc.) lead to :
more automated planning 
improved patient comfort 
better diagnostics 
optimized image quality 
nothing 

Look
      Ups





MR-TIP.com uses cookies! By browsing MR-TIP.com, you agree to our use of cookies.

Magnetic Resonance - Technology Information Portal
Member of SoftWays' Medical Imaging Group - MR-TIP • Radiology-TIP • Medical-Ultrasound-Imaging • 
Copyright © 2003 - 2024 SoftWays. All rights reserved. [ 22 December 2024]
Terms of Use | Privacy Policy | Advertising
 [last update: 2024-02-26 03:41:00]