Gregery T. Buzzard

Abstract Spatially distributed, nonuniform morphogen gradients play a crucial role in tissue organization during development across the animal kingdom. The Bone Morphogenetic Protein (BMP) pathway, a well-studied morphogen involved in dorsal-ventral (D-V) axis patterning, has been extensively studied in zebrafish, Drosophila, and other organisms.

By Charles A. Bouman, Gregery T. Buzzard, and Brendt Wohlberg Regularized or Bayesian inversion has revolutionized our ability to reconstruct images from incomplete data. For example, suppose that we want to reconstruct an image \(x\) from a vector of sensor measurements \(y\), given by \[y=Ax+w,\] where \(A\) is a linear forward model and \(w\) is additive white Gaussian noise with variance \(\sigma^2\).