The invention discloses a geometric
mesh model deformation method based on oblique
ellipsoid domain influence convex
hull. The method includes selecting a control vertex to be deformed according to regions of interest, deciding to select an influence region in a logically forward or backward direction from a global mesh vertex, establishing a global or local oblique
ellipsoid domain influence convex
hull, traversing an annular neighborhood of the control vertex to be deformed, calculating Laplacian coordinates at the mesh vertex, performing
least squares restrained deformation for the region to be deformed, and overlapping the region to be deformed and a non-influence convex
hull region to obtain a deformation model. According to the invention, the minimum volume enclosing oblique
ellipsoid domain is used for representing the influence region of the control vertex, the influence range of the deformation vertex is enveloped precisely, the drawback of rotational
distortion of a local vertex in the zooming and rotation transformation of the Laplacian differential coordinates can be overcome, the deformed mesh patch normal vector or
vertex normal vector transitions smoothly and uniformly, better smoothness is gained, and the geometric
mesh model deformation of a region of geometry adjacency with a non-connected topology is facilitated.