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Quadratic Forms

matqkks

Member
Jun 26, 2012
74
What are the real life applications of quadratic forms? I have used them to sketch conics but are there any other applications?
 

Ackbach

Indicium Physicus
Staff member
Jan 26, 2012
4,193
One of the more important (fundamental) optimization problems in control theory is the linear-quadratic regulator problem, in which you try to solve a linear DE subject to a quadratic constraint. The quadratic constraint involves quadratic forms.
 

Klaas van Aarsen

MHB Seeker
Staff member
Mar 5, 2012
8,780
I have used quadratic forms to match the digital image of a pupil (in perspective) with an ellipse.

A friend of mine worked on an application of quadric forms (3 dimensional) to match a heart in an MRI scan (3D image) with an ellipsoid.