We find that the cell response spectra of lateral geniculate nucleus cells, as well as the reflectance spectra of Munsell color chips, may be modeled by using the cone sensitivity functions of the long and medium cones. We propose a simple model for how the neural signals from the photoreceptors might be combined in the retina to closely approximate the reflectance spectra of Munsell color chips without input from the short cone.vision ͉ color perception R ecent research reveals that lateral geniculate nucleus (LGN) cell response spectra are fairly smoothly distributed in Munsell perceptual color space in a manner similar to the reflectance spectra of Munsell color chips (1). The findings were based on data reported by De Valois et al. (2), who measured spectral response data on 147 LGN cells. Neural signals reach the LGN through the optic nerve, which consists of the axons of ganglion cells in the retina. Each axon carries signals aggregated from a number of photoreceptors. The aim of this paper is to examine the LGN response spectra for clues as to how the responses of the long (L), medium (M), and short (S) cones (photoreceptors) are aggregated through the various layers of the retina to produce the LGN response spectra. From these clues, we construct a simple model of how the reflectance spectra of the Munsell chips might be represented by these aggregation processes.We assume that the color appearance of objects originates in their reflectance spectra that, together with the illumination source, determine the light stimuli reaching the photoreceptors or cones in the retina. We seek understanding of how photoreceptors are combined in the retina to produce a distribution of the LGN response spectra that is similar in distribution to the reflectance spectra of objects (1). First, we explore the contribution of the cones to the basis functions of the LGN spectral response curves. We recognize that these representations are statistical constructions and do not necessarily represent how the neural system actually functions. However, we can obtain some insight into the way the system might function from such an examination. We then propose a model of how the cone sensitivity curves might be combined to produce response spectra that closely approximate reflectance spectra of ordinary objects such as flowers, fruits, and Munsell color chips. We denote the data consisting of the response spectra of the 147 LGN cells as R NϫM , where N ϭ 147 cells and M ϭ 12 sampled wavelength locations with responses measured in spikes per second (each cell was measured at three light intensities, and the 147 values are means of the three measures). We used the raw recorded data uncorrected for base firing rates. In general, PCA or singular value decomposition analyzes a matrix such as R in the following way (5)
Cone Contributions to the Basis Functions of the LGN Neuronswhere both UU T and VV T are identity matrices, and ⌬ KϫK ϭ ( ͌ k ) is a diagonal matrix. Values of k (Ͼ0) and v jk are obtained, respectively, as eigenvalues and ei...