Low complex Hardware Architecture Design Methodology for Cubic Spline Interpolation Technique for Assistive Technologies

Cheduluri, Ganesh; Bhardwaj, Swati; Naik, Ganesh R.; Hansigida, Vidhumouli; Nali, Appa Rao; Acharyya, Amit

doi:10.1109/newcas52662.2022.9842110

Cited by 2 publications

(2 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Let (x0, y0), (x1, y1), ..., (xn, yn) be the given data points, where 𝑥 𝑥 or i = 0, 1, ..., n − 1. Our objective is to find a function S(x) that passes through all the data points and possesses continuous first and second derivatives [31]. To achieve this, we first define a set of cubic polynomials Si(x) on each interval [𝑥 , 𝑥 ] The cubic spline method [27] was utilized to fit the laser-scribing datasets.…”

Section: Cubic Spline Interpolation Approachmentioning

confidence: 99%

See 1 more Smart Citation

An Exploratory Study of Laser Scribing Quality through Cross-Section Scribing Profiles

Chen,

Chang,

Lei

2023

Micromachines

View full text Add to dashboard Cite

This article presents a novel approach for evaluating laser scribing quality through cross-section profiles generated from a three-dimensional optical profiler. Existing methods for assessing scribing quality only consider the width and depth of a scribe profile. The proposed method uses a cubic spline model for cross-section profiles. Two quality characteristics are proposed to assess scribing accuracy and consistency. Accuracy is measured by the ratio of the actual laser-scribed area to the target area (RA), which reflects the deviation from the desired profile. The mean square error (MSE) is a measure of how close each scribed cross-section under the same scribing conditions is to the fitted cubic spline model. Over 1370 cross-section profiles were generated under 171 scribing conditions. Two response surface polynomial models for RA and MSE were built with 18 scribing conditions with acceptable scribing depth and RA values. Both RA and MSE were considered simultaneously via contour plots. A scatter plot of RA and MSE was then used for Pareto optimization. It was found that the cross-sectional profile of a laser scribe could be accurately represented by a cubic spline model. A multivariate nonlinear regression model for RA and MSE identified pulse energy and repetition rate as the two dominant laser parameters. A Pareto optimization analysis further established a Pareto front, where the best compromised solution could be found.

show abstract

Section: Cubic Spline Interpolation Approachmentioning

confidence: 99%

“…., n − 1. Our objective is to find a function S(x) that passes through all the data points and possesses continuous first and second derivatives [31]. To achieve this, we first define a set of cubic polynomials S i (x) on each interval [x i , x i+1 ]…”

Section: Cubic Spline Interpolation Approachmentioning

confidence: 99%