Optimizing parameters in surface reconstruction of transtibial prosthetic socket using central composite design coupled

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ORIGINAL ARTICLE

Optimizing parameters in surface reconstruction of transtibial prosthetic socket using central composite design coupled with fuzzy logic-based model Vimal Kumar Pathak1 • Chitresh Nayak2 • Ramanpreet Singh1 • Mithilesh K. Dikshit1 • Tarun Sai1 Received: 31 August 2019 / Accepted: 25 March 2020 Ó Springer-Verlag London Ltd., part of Springer Nature 2020

Abstract In this paper, a fuzzy logic-based artificial intelligence technique is delineated to optimize surface reconstruction parameters, initiating from raw point cloud data using contactless scanning of transtibial prosthetic socket. The prosthetic socket having a free-form surface is considered for reconstruction of an accurate and complete digital model, which is further crucial for subsequent design, analysis and production. The input factors considered for the socket surface reconstruction includes number of points, filtering, triangle counts and smoothing level. The experimental trials are performed using face-centered central composite design, and further experimental data are used to establish Mamdani fuzzy logic model to predict the surface standard deviation and required space in computer memory as the response parameters. The confirmation experiment results reveal that the fuzzy model shows good agreement of 96.53% with the experimental measured value. Based on the results, it is proved that established fuzzy model can be used for predicting the surface reconstruction parameters to improve the final accuracy of the transtibial prosthetic socket model. The results concluded that the fuzzy logic provides commendable results; in addition, it successfully predicts the effect of different parameters considered for surface reconstruction on surface accuracy and computer file size. Keywords Surface reconstruction  Contactless laser scanning  Fuzzy logic  Prosthetic socket

1 Introduction Nowadays, with the advent of rapid growth in manufacturing technologies like rapid tooling and rapid prototyping, manufacturing of competitive and advanced products with free-form surface has become possible in aerospace [1], biomedical [2], automobile [3] and mold industries [4]. Due to the complexity and free-form shapes of these products, continuous improvement for providing superior performance is required to sustain in such a dynamic and competitive environment. For the aforementioned purpose, qualitative inspection has become an inevitable task in the

& Vimal Kumar Pathak [email protected] 1

Department of Mechanical Engineering, Manipal University Jaipur, Dehmi Kalan, Jaipur, Rajasthan 303007, India

2

Oriental Institute of Science and Technology, Bhopal, Madhya Pradesh, India

life cycle of products; however, it takes a lot of manufacturing lead-time [5, 6]. Therefore, digital replication of actual object is required, which may also be a challenging and troublesome task while using conventional ComputerAided Design (CAD) tools. Moreover, contactless digitized systems have realized a