Interpolating Spline Curve-Based Perceptual Encryption for 3D Printing Models

Abstract

With the development of 3D printing technology, 3D printing has recently been applied to many areas of life including healthcare and the automotive industry. Due to the benefit of 3D printing, 3D printing models are often attacked by hackers and distributed without agreement from the original providers. Furthermore, certain special models and anti-weapon models in 3D printing must be protected against unauthorized users. Therefore, in order to prevent attacks and illegal copying and to ensure that all access is authorized, 3D printing models should be encrypted before being transmitted and stored. A novel perceptual encryption algorithm for 3D printing models for secure storage and transmission is presented in this paper. A facet of 3D printing model is extracted to interpolate a spline curve of degree 2 in three-dimensional space that is determined by three control points, the curvature coefficients of degree 2, and an interpolating vector. Three control points, the curvature coefficients, and interpolating vector of the spline curve of degree 2 are encrypted by a secret key. The encrypted features of the spline curve are then used to obtain the encrypted 3D printing model by inverse interpolation and geometric distortion. The results of experiments and evaluations prove that the entire 3D triangle model is altered and deformed after the perceptual encryption process. The proposed algorithm is responsive to the various formats of 3D printing models. The results of the perceptual encryption process is superior to those of previous methods. The proposed algorithm also provides a better method and more security than previous methods.

Exploration of Laser Marking Path and Algorithm Based on Intelligent Computing and Internet of Things

“…e spline curve [22] S(x) is a segmentally defined equation. Given (n + 1) data points and a total of n intervals, the cubic spline equation satisfies the following conditions:…”

Two-Dimensional (2D) Slices Encryption-Based Security Solution for Three-Dimensional (3D) Printing Industry

“…Currently, there are some proposed techniques for 3D models encryption [11,12,17,18]. Overall, the main content of these methods is to encrypt 3D model that is based on encrypting the features of 3D model in 3D space.…”

“…The main idea of the proposed solution is to encrypt the 2D slices of 3D printing, both To prevent attacks to 3D printing model and the file of 2D slices, encryption solutions for 3D printing model and the file of 2D slices are necessary and suitable. To prevent attacks on 3D printing model, we previously proposed a perceptual encryption method 3D printing model that is based on encrypting the features of the interpolating spline curve of degree 2 in 3D space [11], and a selective encryption for 3D printing model based on K-mean clustering and the discrete cosine transform [12]. The main content of these methods is based on the geometric features of 3D printing model in 3D space or is based on selectivity encrypting in the frequency domain of the discrete cosine transform.…”

A Novel 3D Image Encryption Based on the Chaotic System and RNA Crossover and Mutation

“…In order to prevent the attacks by unauthorized users, the 3D images should be encrypted before being stored and transmitted. Unlike the traditional files, the 3D image files have enormous data and special storage format, so the traditional encryption algorithms such as DES and AES cannot protect them efficiently [4][5][6][7][8]. Therefore, it is necessary to research high-level encryption technology for 3D images, and there are few researches on this field at present.…”