Finite Differences in Forward and Inverse Imaging Problems: MaxPol Design
DOI10.1137/17M1118452zbMath1404.65215arXiv1709.08321OpenAlexW2758972620MaRDI QIDQ4689649
Mahdi Salami Hosseini, Konstantinos N. Plataniotis
Publication date: 17 October 2018
Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1709.08321
numerical differentiationderivative matrixboundary conditionimage stitchingfullband/lowpass FIR differentiationgradient surface recoveryinverse Vandermondemaxflat technique
Computing methodologies for image processing (68U10) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Eigenvalues, singular values, and eigenvectors (15A18) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical differentiation (65D25) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An algorithm for the finite difference approximation of derivatives with arbitrary degree and order of accuracy
- Numerical differentiation with annihilators in noisy environment
- A new look at partial fraction expansion from a high-level language viewpoint
- Closed-form expressions for the finite difference approximations of first and higher derivatives based on Taylor series
- Mathematical proof of closed form expressions for finite difference approximations based on Taylor series
- Taylor series based finite difference approximations of higher-degree derivatives
- A combined first and second order variational approach for image reconstruction
- Regularized reconstruction of a surface from its measured gradient field
- General explicit difference formulas for numerical differentiation
- On the inversion of the Vandermonde matrix
- Matrix Algorithms
- Implicit Image Differentiation and Filtering with Applications to Image Sharpening
- Multidimensional chromatic derivatives and series expansions
- Finite difference weights, spectral differentiation, and superconvergence
- The Least-Squares Property of the Lanczos Derivative
- Direct analytical methods for solving Poisson equations in computer vision problems
- Generation of Finite Difference Formulas on Arbitrarily Spaced Grids
- The variational approach to shape from shading
- B-spline signal processing. I. Theory
- B-spline signal processing. II. Efficiency design and applications
- Sharpening the response of a symmetric nonrecursive filter by multiple use of the same filter
- Classroom Note:Calculation of Weights in Finite Difference Formulas
- Lanczo's Generalized Derivative
- Generation of Pseudospectral Differentiation Matrices I
- Chromatic Derivatives and Local Approximations
- A New Formula for Bivariate Hermite Interpolation on Variable Step Grids and Its Application to Image Interpolation
- Indoor Scene Reconstruction Using Near-Light Photometric Stereo
- Style Transfer Via Texture Synthesis
- Discrete Lanczos derivatives of noisy data
- A Single-Lobe Photometric Stereo Approach for Heterogeneous Material
- Robust Surface Reconstruction
- Algorithm 432 [C2: Solution of the matrix equation AX + XB = C [F4]]
- Gradient-Based Image Recovery Methods From Incomplete Fourier Measurements
- A Review of Image Denoising Algorithms, with a New One
- Computer Vision - ECCV 2004
- Total Generalized Variation
- New finite difference formulas for numerical differentiation
This page was built for publication: Finite Differences in Forward and Inverse Imaging Problems: MaxPol Design
