0000000001079816

AUTHOR

Adrian Martin

0000-0001-7127-0073

showing 2 related works from this author

On 1-Laplacian Elliptic Equations Modeling Magnetic Resonance Image Rician Denoising

2015

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 …

Statistics and ProbabilityFOS: Computer and information sciencesComputer scienceNoise reductionComputer Vision and Pattern Recognition (cs.CV)Bayesian probabilityComputer Science - Computer Vision and Pattern Recognition02 engineering and technology01 natural sciencesTikhonov regularizationsymbols.namesakeMathematics - Analysis of PDEsOperator (computer programming)Rician fading0202 electrical engineering electronic engineering information engineeringFOS: MathematicsApplied mathematicsMathematics - Numerical Analysis0101 mathematicsApplied Mathematics010102 general mathematicsNumerical Analysis (math.NA)Condensed Matter PhysicsNonlinear systemModeling and Simulationsymbols020201 artificial intelligence & image processingGeometry and TopologyComputer Vision and Pattern RecognitionLaplace operatorBessel functionAnalysis of PDEs (math.AP)
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Rethinking common assumptions on linkages between protected areas and human well-being

2018

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…

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