Hair coloring system

A system for determining hair color treatment using a first relative concentration of a first hair color treatment and a second relative concentration of a second hair color treatment, the first hair color treatment having an associated first spectral change function for use in determining a first new spectrum of the hair after application of only the first hair color treatment, said second hair color treatment having an associated second spectral change function for use in determining a second new spectrum of the hair after application of only the second hair color treatment, comprising a processor configured for:

• (i) receiving input data pertaining to an initial reflectance spectrum measured from a sample of hair, said input data representing a measure of reflectance over a finite wavelength range and accumulating said data over said range into a digital version of said spectrum;
• (ii) determining said hair color treatment for said hair as a direct function of said digital version of said spectrum measured from said sample of hair and a desired spectrum of said hair, said direct function comprising spectral multiplication and utilizing said values accumulated over said range, and said desired spectrum likewise being in a format covering said range, said first hair color treatment and said first spectral change function relating to bleaching and said second hair color treatment and said second spectral change function relating to dyeing said calculating comprising apportioning of the first and second spectral change functions according to the first and second relative concentrations;
• and
• (iii) outputting data to a device, said output data being based upon said step of determining and being indicative of said determined hair color treatment.

A system for determining treatment of hair using a first relative concentration of a first hair color treatment and a second relative concentration of a second hair color treatment, the first hair color treatment having an associated first spectral change function for use in determining a first new spectrum of the hair after application of only the first hair color treatment, said second hair color treatment having an associated second spectral change function for use in determining a second new spectrum of the hair after application of only the second hair color treatment, the system comprising a processor configured for:

• (i) receiving input data pertaining to an initial spectrum measured from the hair, said input data representing a measure of reflectance over a finite wavelength range, wherein said input data comprises an accumulation of reflectance intensity values over said wavelength range to form said initial spectrum;
• (ii) using said input data pertaining to said initial spectrum as said accumulation of spectral values over said range, measured from the hair, calculating a new spectrum of the hair due to a hypothetical hair color treatment of applying the first relative concentration of the first hair color treatment and the second relative concentration of a the second hair color treatment to the hair, said new spectrum likewise being in said format comprising an accumulation of spectral values over said wavelength range, said calculating said calculating comprising using a spectral multiplication function of said initial spectrum, and being based upon:
• apportioning the first spectral change function and the second spectral change function by the first relative concentration and the second relative concentration, respectively, wherein the first spectral change function is a function defining a change in a hair sample spectrum due to bleaching, and the second spectral change function is a function defining a change in a hair sample spectrum due to dyeing;
• and
• (iii) outputting data to a device, said data being based on said step of calculating, said data being indicative of said first and second relative concentrations for achieving said new spectrum.

A method for determining a hypothetical hair color treatment, the hair color treatment using a first relative concentration of a first hair color treatment and a second relative concentration of a second hair color treatment, the first hair color treatment having an associated first spectral change function for use in determining a first new spectrum of the hair after application of only the first hair color treatment, said second hair color treatment having an associated second spectral change function for use in determining a second new spectrum of the hair after application of only the second hair color treatment, comprising the steps of:

• (i) receiving input data pertaining to an initial reflectance spectrum measured from a sample of hair, said input data representing a measure of reflectance values accumulated over a finite wavelength range as a digital version of said initial spectrum ;
• and
• (ii) calculating a new spectrum of said hair due to said hypothetical hair color treatment as a direct function of said data pertaining to said initial spectrum measured from said hair, said direct function comprising spectral multiplication and utilizing said accumulated spectral values as a function of wavelength, such that said new spectrum likewise comprises spectral values accumulated over a wavelength range, said first hair color treatment method and said first spectral change function being associated with bleaching and said second hair color treatment method and said second spectral change function being associated with dyeing, said calculating comprising apportioning of the first and second spectral change functions according to the first and second relative concentrations;
• and
• (iii) outputting data indicative of said hypothetical hair color treatment to a device, said output data being based upon said step of calculating.

A method for determining hair color treatment, the treatment of hair using a first relative concentration of a first hair color treatment and a second relative concentration of a second hair color treatment, the first hair color treatment having an associated first spectral change function for use in determining a first new spectrum of the hair after application of only the first hair color treatment, said second hair color treatment having an associated second spectral change function for use in determining a second new spectrum of the hair after application of only the second hair color treatment, comprising the steps of:

• (i) receiving input data pertaining to an initial reflectance spectrum measured from a sample of hair, said input data representing a measure of reflectance over a finite wavelength range, wherein said input data comprises accumulated intensity values over said wavelength range, said values being accumulated to form a digital version of said initial reflectance spectrum;
• (ii) determining a hair color treatment for said hair as a spectral multiplication function of said data pertaining to said initial spectrum measured from said sample of hair and a desired spectrum of said hair, said direct function utilizing said format comprising said intensity values, and said desired spectrum being expressed using said intensity values, said hair color treatment being determined in terms of said first and second hair color treatments and associated spectral change functions, said first hair color treatment and said first spectral change function relating to bleaching, and said second hair color treatment and said second spectral change function relating to dyeing, said calculating comprising apportioning of the first and second spectral change functions according to the first and second relative concentrations;
• and
• (iii) outputting data indicative of said determined hair color treatment to a device, said output data being based upon said step of determining.

A method for determining a hair color treatment using a first relative concentration of a first hair color treatment and a second relative concentration of a second hair color treatment, the first hair color treatment having an associated first spectral change function for use in determining a first new spectrum of the hair after application of only the first hair color treatment, the second hair color treatment having an associated second spectral change function for use in determining a second new spectrum of the hair after application of only the second hair color treatment, the method including the steps of:

• (i) receiving input data pertaining to an initial spectrum measured from a sample of the hair, said input data representing a measure of reflectance over a finite wavelength range, wherein said input data has a format comprising intensity values accumulated as a spectrum over a wavelength range;
• and
• (ii) using said input data, calculating a new spectrum of the hair due to a hypothetical hair color treatment of applying the first relative concentration of the first hair color treatment and the second relative concentration of the second hair color treatment to the hair, said calculating comprising spectral multiplication over said wavelength range, such that said new spectrum is likewise an accumulation over a wavelength range, said calculating further being based upon
• apportioning the first spectral change function and the second spectral change function by the first relative concentration and the second relative concentration, respectively;
• (III) outputting data indicative of said first and second relative concentrations to a device, said data being based upon said step of calculating, the first concentration being a bleaching concentration and the second concentration being a dyeing concentration.