Inverse (integrated) gradient

Vectorized & fully sparse 1-d, 2-d, & 3-d integrated gradients
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Actualizado 2 ene 2013

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The inverse of the gradient function. I've provided versions that work on 1-d vectors, or 2-d or 3-d arrays. In the 1-d case I offer 5 different methods, from cumtrapz, and an integrated cubic spline, plus several finite difference methods.

In higher dimensions, only a finite difference/linear algebra solution is provided, but it is fully vectorized and fully sparse in its approach. In 2-d and 3-d, if the gradients are inconsistent, then a least squares solution is generated.

(I'll enhance the 2-d and 3d tools if there is any interest. Currently they are set to be 2nd order methods on uniform grids.)

Please notify me of any bugs.

Citar como

John D'Errico (2024). Inverse (integrated) gradient (https://www.mathworks.com/matlabcentral/fileexchange/9734-inverse-integrated-gradient), MATLAB Central File Exchange. Recuperado .

Compatibilidad con la versión de MATLAB
Se creó con R14SP1
Compatible con cualquier versión
Compatibilidad con las plataformas
Windows macOS Linux
Categorías
Más información sobre Numerical Integration and Differential Equations en Help Center y MATLAB Answers.
Agradecimientos

Inspirado por: Inverse Gradient

Inspiración para: PIVMat 4.20

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Versión Publicado Notas de la versión
1.1.0.0

Fixed bug for complex inputs

1.0.0.0

Upgrades to the 1-d cumulative integration code, for both accuracy and speed in the finite difference methods.