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Bézier surface - bicubic patch 4x4 point grid

Author:hawe

Topic:Area, Matrices, Polynomial Functions, Solids or 3D Shapes, Surface

4x4 Grid Example bicubic patch

4x4 Grid Example bicubic patch — b(u,v):=v^(3) (B (-u + 1)^(3) + D u^(3) + 3O_{BD} u (-u + 1)^(2) + 3O_{DB} u^(2) (-u + 1)) + (-v + 1)^(3) (A (-u + 1)^(3) + C u^(3) + 3O_{AC} u (-u + 1)^(2) + 3O_{CA} u^(2) (-u + 1)) + 3v (-v + 1)^(2) (O_{AB} (-u + 1)^(3) + O_{CD} u^(3) + 3O_{A} u (-u + 1)^(2) + 3O_{C} u^(2) (-u + 1)) + 3v^(2) (-v + 1) (O_{BA} (-u + 1)^(3) + O_{DC} u^(3) + 3O_{B} u (-u + 1)^(2) + 3O_{D} u^(2) (-u + 1)) https://math.stackexchange.com/questions/894348/describing-b%c3%a9zier-surfaces/895822#895822 https://www.educative.io/answers/what-is-a-bzier-patch

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