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Mathematics in Image Processing

2013
Table of Contents * Introduction u by H. Zhao * MRA-based wavelet frames and applications u by B. Dong and Z. Shen * Five lectures on sparse and redundant representations modelling of images u by M. Elad * Simulation of elasticity, biomechanics, and virtual surgery u by J. M. Teran, J. L.
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Mathematical Modeling of Real-World Images

Constructive Approximation, 1996
In ``Mathematical modeling of real-world images'' the author considers the problem of approximating images using appropriate mathematical objects. If \(D = [0,1]^2\), the author defines the metric space \(IM_D\) of completed graphs of bounded functions (as closed bounded subsets of \(\mathbb{R}^3)\) with the Hausdorff distance.
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Mathematics of Digital Images

2006
Compression, restoration and recognition are three of the key components of digital imaging. The mathematics needed to understand and carry out all these components are explained here in a style that is at once rigorous and practical with many worked examples, exercises with solutions, pseudocode, and sample calculations on images.
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Public Image of Mathematics

1998
The public image of mathematics is not of the best. The work of mathematicians and to a certain extent the work of computer scientists is not considered as an important contribution to our civilisation. Even in countries like France where mathematics enjoyed a higher reputation than elsewhere, things have changed.
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Mathematical Morphology for Binary Images

2021
Mathematical morphology is a mathematical tool for analyzing images based on morphology (Serra 1982).
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Mathematical Image Processing

2018
Kristian Bredies, Dirk Lorenz
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Image-based profiling for drug discovery: due for a machine-learning upgrade?

Nature Reviews Drug Discovery, 2020
Srinivas Niranj Chandrasekaran   +2 more
exaly  

Image Processing: Mathematics

2006
G. Aubert, P. Kornprobst
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Mathematical methods in imaging

IEEE Signal Processing Magazine, 2002
A.O. Hero, H. Krim
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