Efficient curved surface thickening method based on implicit modeling

Abstract

The invention discloses an efficient curved surface thickening method based on implicit modeling, and the method comprises the steps: firstly obtaining the geometrical morphology of a target plate, directly sampling the geometrical expression of a plate with known geometrical expression, and obtaining the precise point cloud information; measuring an entity model with unknown geometric expression,and extracting surface point cloud information; secondly, fitting the obtained point cloud information into an implicit curved surface based on implicit modeling; thirdly, expressing the implicit curved surface as a symbolic distance function by using approximate distance, and generating an offset curved surface of the implicit curved surface by using simple algebra addition and subtraction; performing subtraction operation on the offset curved surface to generate a plate geometrical form with uniform thickness; and finally, according to the obtained geometrical shape of the plate, generatinga plate material object by utilizing an additive manufacturing technology. According to the method, the advantages that the implicit implicit function is high in geometric expression capacity, the geometry mixing method is flexible, the algorithm is friendly to parallel computing and the like are utilized, a common implicit curved surface is converted into a symbolic distance function, and the purposes that the curved surface is thickened rapidly to generate a plate and manufactured are achieved.

Description

technical field [0001] The invention belongs to the technical fields of computer graphics and geometric reconstruction, and in particular relates to an efficient surface thickening method based on implicit modeling. Background technique [0002] Plate usually refers to a flat rectangular material with uniform thickness, or it can be a thin plate of various shapes with thickness. For plates with complex shapes, the CAD method is generally used to design its modeling surface, and then the surface is thickened in a certain way to achieve the purpose of production. [0003] The curved surface is the basic geometry in CAD / CAM, which is widely used in geometric modeling design and reconstruction. But a surface is a geometry without thickness and does not contain thickness information mathematically. If it is necessary to perform additive manufacturing on such a curved surface, it is necessary to first convert the curved surface without thickness into a thin plate with a uniform ...

AI Technical Summary

Problems solved by technology

[0004] The current common method is to use explicit functions to express surfaces, such as parametric surfaces and meshes, etc. Although these methods are easy to geometric modeling, they are not easy to thicken and require a lot of reparameterization operations

For complex geometric surfaces, this method is extremely computationally intensive or even infeasible

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