Abstract: A method executed by a computer system that transmits a multimedia content through a negative-base number. The method includes generating a binary sequence for the multimedia content, converting the binary sequence into a negative-base number, receiving the negative-base number, retrieving a negative base of the negative base number, calculating the binary sequence based on the negative-base number and the negative base, and obtaining the multimedia content based on the binary sequence.

Abstract: A method improves information security by generating a key with which a first multimedia content is encrypted into a second multimedia content. The method generates a first representation for the first multimedia content and a second representation for the second multimedia content on a complex plane, and improves the information security by generating the key by determining a relationship between the first representation and the second representation on the complex plane such that the first multimedia content is encrypted into the second multimedia content with the relationship as the key.

Abstract: A method executed by a computer system that transmits a multimedia content through a negative-base number. The method includes generating a binary sequence for the multimedia content, converting the binary sequence into a negative-base number, receiving the negative-base number, retrieving a negative base of the negative base number, calculating the binary sequence based on the negative-base number and the negative base, and obtaining the multimedia content based on the binary sequence.

Abstract: A method constructs an image with improved peak signal-to-noise ratio (PSNR) from a scattered pixel set. The method generates an approximation function that is a linear combination of a plurality of Many-Knot (MK) spline basis functions, and constructs the image with improved PSNR by conducting a least squares treatment on the approximation function to minimize a residual of each pixel value in the scattered pixel set from the approximation function.

Abstract: A method improves information security by generating a key with which a first multimedia content is encrypted into a second multimedia content. The method generates a first representation for the first multimedia content and a second representation for the second multimedia content on a complex plane, and improves the information security by generating the key by determining a relationship between the first representation and the second representation on the complex plane such that the first multimedia content is encrypted into the second multimedia content with the relationship as the key.

Abstract: A method constructs an image with improved peak signal-to-noise ratio (PSNR) from a scattered pixel set. The method generates an approximation function that is a linear combination of a plurality of Many-Knot (MK) spline basis functions, and constructs the image with improved PSNR by conducting a least squares treatment on the approximation function to minimize a residual of each pixel value in the scattered pixel set from the approximation function.

Abstract: Example embodiments include a method that reduces consumption of computer resources in a computer system to reconstruct a shape of a multi-object image using finite terms. The method includes computing an initial function by performing V-system of degree 0 and functions of curves by performing hierarchical V-system. Norms of the functions of curves are compared with a predetermined threshold. A reconstruction function of the shape of the multi-object image is generated by summing the initial function and the functions of curves.

Abstract: A method for coding data includes: representing a first data in digital form as digital information; transforming the digital information into a first Gaussian integer; determining a relationship between the first Gaussian integer and a second Gaussian integer; and deriving, based on the determined relationship, a key for converting between the first Gaussian integer and the second Gaussian integer so as to associate the first data with a second data represented by the second Gaussian integer. The present invention also provides a system and a non-transient computer readable medium for implementing the method.