Abstract
In the modern engineering field, recovering the machined surface topography is important for studying mechanical product function and surface characteristics by using the shape from shading (SFS)-based reconstruction method. However, due to the limitations of many constraints and oversmoothing, the existing SFS-based reconstruction methods are not suitable for machined surface topography. This paper presents a new three-dimensional (3D) reconstruction method of machined surface topography. By combining the basic principle of SFS and the analytic method, the analytic model of a surface gradient is established using the gray gradient as a constraint condition. By efficiently solving the effect of quantization errors and ambiguity of the gray scale on reconstruction accuracy using a wavelet denoising algorithm and image processing technology, the reconstruction algorithm is implemented for machined surface topography. Experimental results on synthetic images and machined surface topography images show that the proposed algorithm can accurately and efficiently recover the 3D shape of machined surface topography.
Highlights
Machined surface topography refers to the microgeometry shape left on the workpiece surface by the tools and chips during the process of machining [1], which has a significant impact on the function of the mechanical product, and affects the surface characteristics of the mechanical parts, including wear, lubrication, friction, corrosion resistance, and reflection [2,3,4]
This study proposes a new three-dimensional reconstruction method for effectively and accurately reconstructing the machined surface topography
shape from shading (SFS) algorithm combined with the analytic thethe basic principle of the combined with the analytic method,method, a new a new three-dimensional reconstruction method is introduced to recover machined surface three-dimensional (3D) reconstruction method is introduced to recover machined surface topography
Summary
Accurate and effective surface topography information is of importance to the modern engineering field. Surface topographic information is mainly obtained by the contact measurement method and non-contact measurement method. The main equipment used in contact measurement method is the stylus profilometer. Due to the limitations of measurement conditions and stylus, the measurement results of linear sampling points cannot represent the whole surface topography, and the workpiece surface cannot avoid being scratched [5]. There are many types of non-contact measurement methods, including optical methods [6], ultrasonic methods [7], and three-dimensional (3D) reconstruction methods. Optical and ultrasonic methods have high requirements for their measurement environment, and they have a limited measurement range
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