Solving the Inverse Problem of Recovering the 3D Surface of a Detail According to its 2D Projections in the Modelling of Electroplating Processes

Abstract

The article considers the influence of the surface geometry of a detail on the deposition of coating thickness in the simulation of electroplating processes. The methods for obtaining sets of points describing the surface of a detail are analyzed. Solving the inverse problem (recovering the 3D surface of a detail according to its 2D drawings) is the most promising method. The inverse problem solution is decomposed into simpler geometric problems: input data processing; obtaining primitives; obtaining the desired surface of a detail by applying logical operations to primitives. Mathematical statements are formulated and solution algorithms are proposed for solving these problems. The inverse problem solution is implemented through software. The distribution of the nickel coating thickness is shown for a detail, the surface of which is obtained by solving the inverse problem.

Improving the Electroplating Coating Uniformity Based on Fuzzy Control of the Setting Value Using the Combined Defuzzification Method with the Presence of Stochastic Influences

“…Current control is the most common approach. Mathematical models for the electroplating, which are based on the laws of theoretical electrochemistry (Faraday, Ohm and a partial differential equation of the Fourier type to describe the potential distribution), were developed in [5][6][7] to relate the current and the coating uniformity. Numerical methods for solving the model equations are based on the method of finite differences and elements and require significant computational resources and time to calculate.…”