Poisson image-editing technique that matches texture contrast

A computer-readable storage device storing instructions that when executed by a computer cause the computer to perform a method for reconstructing an image, the method comprising:

• receiving an original image f defined on a coordinate space;
• receiving input selecting a region of the original image f within the coordinate space;
• receiving a reference to a texture image g;
• generating a first intermediate image I1 by dividing f by g, wherein the division is performed over the region and its boundary such that I1=f/g;
• solving the Laplace equation ΔI2=0 or the biharmonic equation ∇4I2=0 to determine a solution I2 on the region, subject to the constraint that the solution I2 agrees with the first intermediate image I1 on the boundary of the region, wherein the solution I2 defines a second intermediate image;
• multiplying I2 by g to produce an image h, wherein the multiplication is performed over the region such that h=I2g;
• and
• determining new pixel values for the original image f using values of h on the region.

A computer system for reconstructing an image, the computer system comprising:

• a storage device storing program instructions, wherein the program instructions are executable by the computer system to:
• receive an original image f defined on a coordinate space;
• receive input selecting a region of the original image f within the coordinate space;
• receive a reference to a texture image g;
• generate a first intermediate image I1 by dividing f by g, wherein the division is performed over the region and its boundary such that I1=f/g;
• solve the Laplace equation ΔI2=0 or the biharmonic equation ∇4I2=0 to determine a solution I2 on the region, subject to the constraint that the solution I2 agrees with the first intermediate image I1 on the boundary of the region, wherein the solution I2 defines a second intermediate image;
• multiply I2 by g to produce an image h, wherein the multiplication is performed over the region such that h=I2g;
• and to determine new pixel values for the original image f using values of h on the region.

A method for reconstructing an image, comprising:

• using a computer to perform
• receiving an original image, f defined on a coordinate space;
• receiving input selecting a region of the original image f within the coordinate space;
• receiving a reference to a texture image g;
• generating a first intermediate image I1 by subtracting a logarithm of g from a logarithm of f, wherein the subtraction is performed over the region and its boundary such that I1=log(f)−log(g);
• solving the Laplace equation ΔI2=0 or the biharmonic equation ∇4I2=0 to determine a solution I2 on the region, subject to the constraint that the solution I2 agrees with the first intermediate image I1 on the boundary of the region, wherein the solution I2 defines a second intermediate image;
• adding the logarithm of g to I2;
• exponentiating results of said adding to produce an image h;
• and
• determining new pixel values for the original image f using values of h on the region.