Linear algebra

Linear algebra is a field of mathematics with extremely diverse applications. This type of mathematics extends arithmetical operations from numbers to complex objects like matrices and vectors.

In terms of radiology, linear algebra applications include CT reconstruction algorithms, neural network algorithms, windowing, and MRI sequence algorithms.  Practically speaking, linear algebra deals with linear equations, matrices and vectors. The vectors of linear algebra should not be confused with vectors as conceptualized in physics or trigonometry.

Linear algebra underlies much of computerized image processing, as all digital images are matrices. All computerized texture analysis and convolutional neural network programs rely on operations on matrices of the image, for example, matrix multiplication inside of their various algorithms.

Artificial intelligence

Article information

rID: 69563
Synonyms or Alternate Spellings:

ADVERTISEMENT: Supporters see fewer/no ads

Updating… Please wait.

 Unable to process the form. Check for errors and try again.

 Thank you for updating your details.