A color image cryptosystem based on dynamic DNA encryption and chaos

Exploiting self-adaptive permutation–diffusion and DNA random encoding for secure and efficient image encryption

A visually secure image encryption scheme based on compressive sensing

Image encryption techniques play a significant role in multimedia applications to secure and authenticate digital images. This paper presents a comprehensive study of various image encryption techniques. This paper covers the most significant developments in meta-heuristic based image encryption techniques. The various attacks and performance measures related to image encryption techniques have also been studied. The existing techniques are analyzed with respect to differential, statistical, and key analyses. The main goal of this paper is to give a broad perspective on characteristics of image encryption techniques. The paper concludes by discussing significant advancements in the field of image encryption and highlighting future challenges.

A Comprehensive Review on Image Encryption Techniques

Color image encryption based on chaotic systems and elliptic curve ElGamal scheme

A new RGB image encryption algorithm based on DNA encoding and elliptic curve Diffie-Hellman cryptography

In this paper, we introduce a new class of sets and a new class of functions called geodesic E-convex sets and geodesic E-convex functions on a Riemannian manifold. The concept of E-quasiconvex functions on Rn is extended to geodesic E-quasiconvex functions on Riemannian manifold and some of its properties are investigated. Afterwards, we generalize the notion of epigraph called E-epigraph and discuss a characterization of geodesic E-convex functions in terms of its E-epigraph. Some properties of geodesic E-convex sets are also studied.

On Geodesic E -Convex Sets, Geodesic E -Convex Functions and E -Epigraphs

In this paper, we introduce a new class of functions called geodesic semi- E -convex functions and discuss some of their properties.

Some properties of geodesic semi-E-convex functions

In this paper, a geodesic $\alpha$-invex subset of a Riemannian manifold is introduced. Geodesic $\alpha$-invex and $\alpha$-preinvex functions on a geodesic $\alpha$-invex set with respect to particular maps are also defined. Further, we study the relationships between geodesic $\alpha$-invex and $\alpha$-preinvex functions on Riemannian manifolds. Some results of a non smooth geodesic $\alpha$-preinvex function are also discussed using proximal subdifferentiation. At the end, mean value inequality and the mean value theorem in $\alpha$-invexity analysis are extended to Cartan-Hadamard manifolds. Our results extend and generalize the known results in the literature.

/pdf/generalized-invex-sets-and-preinvex-functions-on-riemannian-1qm37upizn.pdf

Generalized invex sets and preinvex functions on riemannian manifolds

The present paper deals with the properties of geodesic 𝜂-preinvex functions and their relationships with 𝜂-invex functions and strictly geodesic 𝜂-preinvex functions. The geodesic 𝜂-pre-pseudo-invex and geodesic 𝜂-pre-quasi-invex functions on the geodesic invex set are introduced and some of their properties are discussed.

https://downloads.hindawi.com/journals/aor/2009/381831.pdf

Akhlad Iqbal

Papers

A new RGB image encryption algorithm based on DNA encoding and elliptic curve Diffie-Hellman cryptography

On Geodesic E -Convex Sets, Geodesic E -Convex Functions and E -Epigraphs

Some properties of geodesic semi-E-convex functions

Generalized invex sets and preinvex functions on riemannian manifolds

On Properties of Geodesic -Preinvex Functions