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Comparametric Equation: Comparametric Equation, Equation, Parameter, Function (mathematics) -

English
2026-03-19
€156.58 €195.73

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High Quality Content by WIKIPEDIA articles! A comparametric equation is an equation that describes a parametric relationship between a function and a dilated version of the same function, where the equation does not involve the parameter. For example, f(2t) = 4f(t) is a comparametric equation, when we define g(t) = f(2t), so that we have g = 4f no longer contains the parameter, t. The comparametric equation ... Full description

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High Quality Content by WIKIPEDIA articles! A comparametric equation is an equation that describes a parametric relationship between a function and a dilated version of the same function, where the equation does not involve the parameter. For example, f(2t) = 4f(t) is a comparametric equation, when we define g(t) = f(2t), so that we have g = 4f no longer contains the parameter, t. The comparametric equation g = 4f has a family of solutions, one of which is f = t2. To see that f = t2 is a solution, we merely substitute back in: g = f(2t) = (2t)2 = 4t2 = 4f, so that g = 4f. Comparametric equations arise naturally in signal processing when we have multiple measurements of the same phenomenon, in which each of the measurements was acquired using a different sensitivity. For example, two or more differently exposed pictures of the same subject matter give rise to a comparametric relationship, the solution of which is the response function of the camera, image sensor, or imaging system.

More Information

Publisher OmniScriptum
Release year 2026
Cover type Softcover
EAN 9786131144257
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€156.58 €195.73