0000000001328072
AUTHOR
Adrian Martin
On 1-Laplacian Elliptic Equations Modeling Magnetic Resonance Image Rician Denoising
Modeling magnitude Magnetic Resonance Images (MRI) rician denoising in a Bayesian or generalized Tikhonov framework using Total Variation (TV) leads naturally to the consideration of nonlinear elliptic equations. These involve the so called $1$-Laplacian operator and special care is needed to properly formulate the problem. The rician statistics of the data are introduced through a singular equation with a reaction term defined in terms of modified first order Bessel functions. An existence theory is provided here together with other qualitative properties of the solutions. Remarkably, each positive global minimum of the associated functional is one of such solutions. Moreover, we directly …
Rethinking common assumptions on linkages between protected areas and human well-being
International policies on conservation and protected areas now emphasise a pro-poor approach and equitable management with participation by local communities. Many protected areas are now established and managed based on the premise that there are synergistic relationships between human well-being and environmental outcomes. Through a review of the academic literature and expert interviews, we investigate five common assumptions in protected area conservation pertaining to these synergies: (1) Conservation is pro-poor; (2) Poverty reduction benefits conservation; (3) Compensation neutralizes conservation costs; (4) Participation is good for conservation; (5) Resource tenure underpins long-t…