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- W3136347578 abstract "AbstractCurrently, the problems of improving the methods of geometric modeling of three-dimensional objects using the standard mathematical apparatus for CAD/CAE/CAM systems, as well as adapting these methods for specific industrial applications, are urgent. In this paper, we consider issues related to obtaining algorithms for finding the values of a locally approximating spline of two variables and its partial derivatives using a discrete wavelet transform and a convolution operation. The considered inverse discrete wavelet transform and convolution transform are applied to finding computational algorithms for local approximation splines, and then applying them to the development of a CAD system for manufacturing structures from composite materials by the method of automated calculation. Also, the results obtained can be used to solve problems associated with local modification of the surface of a fan blade made of composite materials by the method of automated calculation. In this case, the surface of the fan blade is defined by some sets of points in several sections. First, we model this surface using a local approximation spline of two variables. Then we find the values of this spline at the nodes of the finer mesh and shift the surface points corresponding to these nodes along the normal to the surface by a height equal to the thickness of the tape. Next, we carry out the wavelet decomposition with zeroing the wavelet coefficients. As a result, the surface is smoothed.KeywordsLocal approximation splineSurface modificationAutomated layoutCAD/CAM/CAE/PDM systemsPinch rollers" @default.
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- W3136347578 date "2021-01-01" @default.
- W3136347578 modified "2023-10-16" @default.
- W3136347578 title "About Some Computational Algorithms for Locally Approximation Splines, Based on the Wavelet Transformation and Convolution" @default.
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- W3136347578 doi "https://doi.org/10.1007/978-3-030-71119-1_19" @default.
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