Image reconstruction method and system

摘要

A method and system for producing a scalar image from a derivative field and a vector image is disclosed. A function class c is selected, where all members of the class c are functions which map each vector of the vector image to a unique scalar value. A function f is selected from the class c which maps the vector image to a scalar image, the derivative of which is closest to the derivative field. The scalar image is generated from the vector image by using f to calculate each scalar value in the scalar image from a corresponding vector in the vector image.

主权项

1. A method of producing a scalar image from a derivative field and a vector image, the derivative field being calculated or derived from the vector image, the method including the steps of:
a) retrieving, by a processing unit of at least one computing device, a function class c from a data store, wherein all members of the class c are a finite number of prepopulated functions which map each vector of the vector image to a unique scalar value; b) selecting, by the processing unit of the at least one computing device, a function f from the class c which maps the vector image to a scalar image, a derivative field of the function f being closest to the derivative field from amongst derivative fields of other members of the function class c; and c) generating, by the processing unit of the at least one computing device, the scalar image from the vector image by using the function f to calculate each scalar value in the scalar image from a corresponding vector in the vector image, wherein the calculation of each scalar value is performed without solving Poisson's equation.