Signal processing system and method of operation for nonlinear signal processing

1. A method of operation for a signal processing system comprising:

defining a nonlinear function via a requirements system;

defining a set of requirements for an output signal from the requirements system;

obtaining an input signal for a transformation system;

applying a cubic polynomial fitting to approximate the nonlinear function and provide an approximated nonlinear function via a cubic spline fitting system;

assigning a set of fitted polynomial parameters to the approximated nonlinear function via the cubic spline fitting system;

transforming the input signal with the approximated nonlinear function to provide a transformed signal via the transformation system;

modifying the transformed signal by adjusting the set of fitted polynomial parameters to provide a modified signal meeting the set of requirements for the output signal via the transformation system; and

outputting the modified signal as the output signal from the transformation system.

2. The method as claimed in claim 1 further comprising:

defining a set of requirements for the output signal as a measure of goodness of the output signal via the requirements system; and

adjusting the set of fitted polynomial parameters to optimize the signal processing system by maximizing the goodness of the modified signal via the transformation system.

3. The method as claimed in claim 1 further comprising:

defining the nonlinear function as the approximated nonlinear function with an adjusted set of fitted polynomial parameters via the requirements system to design a nonlinear signal processing system.

4. The method as claimed in claim 1 further comprising:

defining a set of requirements for the output signal as a predetermined modified signal via the requirements system; and

locking the set of fitted polynomial parameters to provide a modified signal approximating the predetermined modified signal to calibrate a nonlinear signal processing system via the transformation system.

5. The method as claimed in claim 1 further comprising:

providing an input system for providing different input signals; and

modifying the set of fitted polynomial parameters for each of the different input signals to provide modified signals meeting the set of requirements for the output signal to adaptively change via the cubic spline fitting system a nonlinear signal processing system.

6. A method for a signal processing system comprising:

defining a nonlinear gamma function via a requirements system;

defining a set of requirements for a color transformed signal via the requirements system;

capturing an image to provide an image signal via an image sensor;

demosaicking the image signal to provide a demosaicked signal from a demosaicking system;

calculating tristimulus values from the demosaicked signal to provide a tristimulus signal via a transformation system;

applying a cubic polynomial fitting to approximate the nonlinear gamma function and provide an approximated nonlinear gamma function via the transformation system;

assigning a set of fitted polynomial parameters to the approximated nonlinear gamma function via the transformation system;

transforming the tristimulus signal with the approximated nonlinear function to provide the transformed signal via the transformation system;

modifying the transformed signal by adjusting the set of fitted polynomial parameters to provide a modified signal meeting the set of requirements for the transformed signal via the transformation system;

color calibrating the modified signal to provide a color transformed signal from the transformation system; and

outputting the color transformed signal to a display or storage from the transformation system.

7. The method as claimed in claim 6 further comprising:

defining a set of requirements for the transformed signal as a measure of the goodness of the transformed signal via the transformation system; and

adjusting the set of fitted polynomial parameters to optimize the signal processing system by maximizing the goodness of the transformed signal via the transformation system.

8. The method as claimed in claim 6 further comprising:

defining the nonlinear gamma function as the approximated nonlinear gamma function with an adjusted set of fitted polynomial parameters via the transformation system to design a nonlinear signal processing system.

9. The method as claimed in claim 6 further comprising:

defining a set of requirements for the transformed signal as a predetermined modified signal via the transformation system; and

locking the set of fitted polynomial parameters to provide a modified signal approximating the predetermined modified signal to calibrate a nonlinear signal processing system via the transformation system.

10. The method as claimed in claim 6 further comprising:

providing a camera system for providing different image signals; and

modifying the set of fitted polynomial parameters for each of the different input signals to provide modified signals meeting the set of requirements for the output signal to adaptively change the camera system via the transformation system.

11. A signal processing system comprising:

a requirements system for defining a nonlinear function and a set of requirements for an output signal;

a cubic spline fitting system for applying a cubic polynomial fitting to approximate the nonlinear function and provide an approximated nonlinear function, the cubic spline fitting system for assigning a set of fitted polynomial parameters to the approximated nonlinear function; and

a transformation system for transforming the input signal with the approximated nonlinear function to provide a transformed signal and modifying the transformed signal by adjusting the set of fitted polynomial parameters to provide a modified signal meeting the set of requirements for the output signal, the transformation system for outputting the modified signal as the output signal.

12. The system as claimed in claim 11 wherein:

the requirements system for defining a set of requirements for the output signal as a measure of goodness of the output signal; and

the transformation system for adjusting the set of fitted polynomial parameters to optimize the signal processing system by maximizing the goodness of the modified signal.

13. The system as claimed in claim 11 further comprising:

a nonlinear signal processing system; and

the requirements system for defining the nonlinear function as the approximated nonlinear function with an adjusted set of fitted polynomial parameters to design the nonlinear signal processing system.

14. The system as claimed in claim 11 further comprising:

a nonlinear signal processing system;

the requirements system for defining a set of requirements for the output signal as a predetermined modified signal; and

the transformation system for locking the set of fitted polynomial parameters to provide a modified signal approximating the predetermined modified signal to calibrate the nonlinear signal processing system.

15. The system as claimed in claim 11 further comprising:

a nonlinear signal processing system;

an input system for providing different input signals; and

the cubic spline fitting system for modifying the set of fitted polynomial parameters for each of the different input signals to provide modified signals meeting the set of requirements for the output signal to adaptively change the nonlinear signal processing system.

16. A signal processing system comprising:

a requirements system for defining a nonlinear gamma function and a set of requirements for a color transformed signal;

an image sensor for capturing an image to provide an image signal;

a demosaicking system for processing the image signal to provide a demosaicked signal;

a color transformation system for:

calculating tristimulus values from the demosaicked signal to provide a transformed signal;

applying a cubic polynomial fitting to approximate the nonlinear gamma function and provide an approximated nonlinear gamma function;

assigning a set of fitted polynomial parameters to the approximated nonlinear gamma function;

modifying the transformed signal with the nonlinear gamma signal by adjusting the set of fitted polynomial parameters to provide a modified signal meeting the set of requirements for the color transformed signal;

color calibrating the modified signal to provide the color transformed signal;

outputting the color transformed signal; and

a display or storage system for receiving the color transformed signal.

17. The system as claimed in claim 16 wherein:

the color transformation system is for:

defining a set of requirements for the color transformed signal as a measure of the goodness of the color transformed signal; and

adjusting the set of fitted polynomial parameters to optimize the signal processing system by maximizing the goodness of the color transformed signal.

18. The system as claimed in claim 16 wherein:

the color transformation system is for defining the nonlinear gamma function as the approximated nonlinear gamma function with an adjusted set of fitted polynomial parameters to design a nonlinear signal processing system.

19. The system as claimed in claim 16 wherein:

the color transformation system is for:

defining a set of requirements for the color transformed signal as a predetermined modified signal; and

locking the set of fitted polynomial parameters to provide a modified signal approximating the predetermined modified signal to calibrate a nonlinear signal processing system.

20. The system as claimed in claim 16 further comprising:

a camera system for providing different image signals for different types of images; and

the color transformation system for modifying the set of fitted polynomial parameters for each of the different input signals to provide modified signals meeting the set of requirements for the color transformed signal to adaptively change the camera system.