The Spectral Mixture Residual: A Source of Low-Variance Information to
Enhance the Explainability and Accuracy of Surface Biology and Geology
Retrievals
Abstract
Mixed pixels are the rule, not the exception, in decameter terrestrial
imaging. By definition, the reflectance spectrum of a mixed pixel is a
function of more than one generative process. Physically-based surface
biology or geology retrievals must therefore isolate the component of
interest from a myriad of unrelated processes, heterogenously
distributed across hundreds of square meters. Foliar traits, for
example, must be isolated from canopy structure and substrate
composition which can dominate overall variance of spatially integrated
reflectance. We propose a new approach to isolate low-variance spectral
signatures. The reflectance of each pixel is modeled assuming linear
geographic mixing due to a small library of generic endmembers. The
difference between the modeled and observed spectra is deemed the
Mixture Residual (MR). The MR, a residual reflectance spectrum that is
presumed to carry the subtler and variable signals of interest, is then
leveraged as a source of signal. We illustrate the approach using three
datasets: synthetic composites computed from field reflectance spectra,
NEON AOP airborne image compilations, and DESIS satellite data. The MR
discriminates between land cover versus plant trait signals and
accentuates subtle absorption features. Mean band-to-band correlations
within the visible, NIR, and SWIR wavebands decrease from 0.97, 0.94,
and 0.97 to 0.95, 0.04 and 0.31. The number of dimensions required to
explain 99% of image variance increases from 4 to 13. We focus on
vegetation as an illustrative example, but note that the concept can be
extended to other applications and used as an input to other algorithms.