geometry - Applying distortion to Bézier surface - Mathematics Stack Exchange

I am trying to simulate the image warp effect, that is used in Adobe Photoshop. The rectangular image is warped according to a cubic Bézier surface (in 2D, all Z components are 0). Having any Bézier

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a) Ball cubic basis functions for m=2, (b) Bernstein cubic Bézier

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a) Ball cubic basis functions for m=2, (b) Bernstein cubic Bézier