Pontryagin's maximum principle for multidimensional control problems in image processing
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Publication:1016412
DOI10.1007/s10957-008-9460-9zbMath1159.49033OpenAlexW2074175172MaRDI QIDQ1016412
Publication date: 5 May 2009
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10957-008-9460-9
first-order necessary conditionsmultidimensional control problemsimage processingoptical flowshape from shadingPontryagin's principleWeyl decompositioninfinite codimension
Optimality conditions for problems involving partial differential equations (49K20) Computing methodologies for image processing (68U10) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)
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Cites Work
- Sufficiency conditions for weak local minima in multidimensional optimal control problems with mixed control-state restrictions
- Piecewise continuous controls in Dieudonné-Rashevsky type problem
- Sufficient conditions for local optimality in multidimensional control problems with state restrictions
- Minimal elements of \(\text{И}(H;p)\) and conjugacy of Levi complements in finite Chevalley groups.
- Cone conditions and properties of Sobolev spaces
- Implicit partial differential equations
- Shape-from-shading, viscosity solutions and edges
- Strong duality for transportation flow problems
- Cauchy-Dirichlet problem for first order nonlinear systems
- General existence theorems for Hamilton-Jacobi equations in the scalar and vectorial cases
- Relaxation of Hamilton-Jacobi equations
- Reliable estimation of dense optical flow fields with large displacements
- Optimal transportation flows
- A uniqueness result in the theory of stereo vision: Coupling shape from shading and binocular information allows unambiguous depth reconstruction
- Elastic-plastic torsion problem. III
- Optimization with partial differential equations in Dieudonne-Rashevsky form and conjugate problems
- Sufficiency conditions for multiple integral control problems
- A Pointwise maximum principle in optimal control with multiple integrals**Dedicated to the 65th birthday of Prof. Dr. R. Klötzler$ef:
- Inpainting of Movies Using Optical Flow
- Detection of Intensity and Motion Edges within Optical Flow via Multidimensional Control
- The variational approach to shape from shading
- On the Validity of the Maximum Principle and of the Euler--Lagrange Equation for a Minimum Problem Depending on the Gradient
- Variational Analysis
- Sufficient Second-Order Optimality Conditions for a Parabolic Optimal Control Problem with Pointwise Control-State Constraints
- Relaxation in an L∞-optimization problem
- Transportation flow problems with Radon measure variables
- ANALYSIS OF OPTICAL FLOW MODELS IN THE FRAMEWORK OF THE CALCULUS OF VARIATIONS
- Optimal Control Formulation for Determining Optical Flow
- An optimal control approach to optical flow computation
- Computing Optical Flow via Variational Techniques
- Pontryagin’s Maximum Principle for DieudonnÉ-Rashevsky Type Problems Involving Lipschitz Functions
- Instability of the eikonal equation and shape from shading
- Regular Lagrange Multipliers for Control Problems with Mixed Pointwise Control-State Constraints
- Separation Properties of Convex Cones
- Pontryagin principle for state-constrained control problems governed by a first-order PDE system
- Models for image interpolation based on the optical flow
- Numerical analysis of oscillations in a nonconvex problem related to image selective smoothing
- Sharp \(L^ p\)-Hodge decompositions for Lipschitz domains in \(\mathbb R^ 2\).
- A theoretical framework for convex regularizers in PDE-based computation of image motion
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