Neutrosophic B-spline Surface Approximation Model for 3- Dimensional Data Collection

Abstract

Since there are threei membershipi functions: truth, false, and indeterminacyi, geometrical modelingi for B-spline surface approximation including neutrosophic data is particularly difficult to construct. Using neutrosophic set theory, this study introduces a neutrosophic B-spline for 3- dimensional data collecting. The neutrosophic control net was first introduced using the
neutrosophic set notion. The controli net is then merged with the B-splinei basis function, and the approximation approach is used to display the B-spline surface. Following this work, there is a numerical demonstration of how to create the surface. As a result, the primary goal of this study is to offer the mathematical formulation and visualization of the neutrosophic B-spline surface
approximation model for 3D data collecting.