We introduce a new prior|the weak plate|to Bayesian tomographic reconstruction. The weak plate captures the piecewise ramplike spatial structure evident in primate autoradiograph source distributions. The weak plate is a part of a family of \mechanical" models|weak membrane (1st order), weak plate (2nd order), and weak quadric (3rd order)|in which a class of smoothness constraints derived from ...

We introduce a new prior|the weak plate|to Bayesian tomographic reconstruction. The weak plate captures the piecewise ramplike spatial structure evident in primate autoradiograph source distributions. The weak plate is a part of a family of \mechanical" models|weak membrane (1st order), weak plate (2nd order), and weak quadric (3rd order)|in which a class of smoothness constraints derived from ...

In this paper, we introduce two types of the Levitin-Polyak well-posedness for the system of weak generalized vector equilibrium problems. By using the gap function of the system of weak generalized vector equilibrium problems, we establish the equivalent relationship between the two types of Levitin-Polyak well-posedness of the system of weak generalized vector equilibrium problems and the cor...