Deformation method based on control meshes
A technology for controlling grids and vertices, applied in 3D image processing, 2D image generation, image data processing, etc., can solve the problem of increasing operation control grid cost, rough target model, and first-order discontinuity of interpolation function And other issues
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[0027] The purpose and effects of the present invention will become more apparent by describing the present invention in detail below with reference to the accompanying drawings.
[0028] Let Ω be R d The target object in space, d can be 2 or 3, Φ=(U, T) is a certain control grid of Ω, where U=(u 1 ,...,u n ) is the set of control vertices, T=(t 1 ,...,t m ) represents the collection of fragments of the grid. For two-dimensional space, d=2, Φ is a plane triangular grid. For three-dimensional space, d=3, Φ is a tetrahedral grid. x(u):Ω→R d is the transformation function of the control grid, and x(u i )=x i , ∀ u i ∈ U , Then the form of the traditional barycentric coordinate interpolation function is as follows:
[0029] x ( u ) = Σ i = ...
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