Measurement of individual color space using a luminous vector field

Area of Science:

• Visual perception
• Color science
• Human-computer interaction

Background:

• Standard observer models assume constant spectral efficiency and fixed photometric vector directions.
• Color space is typically decomposed into planar surfaces of constant luminance.
• Individual variations in color perception are not fully captured by standard models.

Purpose of the Study:

• To measure the geometry of observer color spaces when viewing computer screens.
• To quantify individual variations in these color spaces.
• To investigate the mathematical properties of luminous vectors and surfaces.

Main Methods:

• Utilized heterochromatic photometry with a minimum motion stimulus.
• Systematically measured luminous vector directions across numerous observers and color points.
• Employed mathematical hypotheses of quadratic surfaces and metric proportionality to estimate surfaces from vector fields.

Main Results:

• Observed convergent vector fields across 24 observers.
• Determined that the corresponding color space surfaces exhibit hyperbolic geometry.
• Found systematic individual variations in the equation of these surfaces and their axes of symmetry.

Conclusions:

• Observer color spaces possess hyperbolic geometry, not the planar surfaces assumed by standard models.
• Individual differences in color perception are significant and can be systematically described.
• The findings support theories on the adaptation-dependent modification of photometric vectors.