Digital image processing (2nd ed.)
Digital image processing (2nd ed.)
Inversion of picture operators
Pattern Recognition Letters
Fundamentals of digital image processing
Fundamentals of digital image processing
Finite topology as applied to image analysis
Computer Vision, Graphics, and Image Processing
A Theory for Multiresolution Signal Decomposition: The Wavelet Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Digital topology: introduction and survey
Computer Vision, Graphics, and Image Processing
Two-dimensional signal and image processing
Two-dimensional signal and image processing
Digital image processing (2nd ed.)
Digital image processing (2nd ed.)
Machine Vision and Applications - Special issue: Three-dimensional microscopy
A topological approach to digital topology
American Mathematical Monthly
Differentiation-Based Edge DetectionUsing the Logarithmic Image Processing Model
Journal of Mathematical Imaging and Vision
Connectivity in Digital Pictures
Journal of the ACM (JACM)
The Boundary Count of Digital Pictures
Journal of the ACM (JACM)
Some Results in Computational Topology
Journal of the ACM (JACM)
Algorithms for Graphics and Imag
Algorithms for Graphics and Imag
Digital Picture Processing
The study of logarithmic image processing model and its application to image enhancement
IEEE Transactions on Image Processing
Differentiation-Based Edge DetectionUsing the Logarithmic Image Processing Model
Journal of Mathematical Imaging and Vision
General Adaptive Neighborhood Image Processing
Journal of Mathematical Imaging and Vision
General Adaptive Neighborhood Image Processing
Journal of Mathematical Imaging and Vision
The Second Order Local-Image-Structure Solid
IEEE Transactions on Pattern Analysis and Machine Intelligence
EURASIP Journal on Applied Signal Processing
General Adaptive Neighborhood Choquet Image Filtering
Journal of Mathematical Imaging and Vision
Parallelizing and optimizing LIP-canny using NVIDIA CUDA
IEA/AIE'10 Proceedings of the 23rd international conference on Industrial engineering and other applications of applied intelligent systems - Volume Part III
General Adaptive Neighborhood-Based Pretopological Image Filtering
Journal of Mathematical Imaging and Vision
General adaptive neighborhood image restoration, enhancement and segmentation
ICIAR'06 Proceedings of the Third international conference on Image Analysis and Recognition - Volume Part I
Adaptive Shape Diagrams for Multiscale Morphometrical Image Analysis
Journal of Mathematical Imaging and Vision
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The logarithmic image processing (LIP) model is amathematical framework based on abstract linear mathematicswhich provides a set of specific algebraic and functionaloperations that can be applied to the processing of intensityimages valued in a bounded range. The LIP model has been provedto be physically justified in the setting of transmitted lightand to be consistent with several laws and characteristics ofthe human visual system. Successful application examples havealso been reported in several image processing areas, e.g.,image enhancement, image restoration, three-dimensional imagereconstruction, edge detection and image segmentation.The aim of this article is to show that the LIP model is atractable mathematical framework for image processing which isconsistent with several laws and characteristics of humanbrightness perception. This is a survey article in the sensethat it presents (almost) previously published results in arevised, refined and self-contained form. First, an introductionto the LIP model is exposed. Emphasis will be especially placedon the initial motivation and goal, and on the scope of themodel. Then, an introductory summary of mathematicalfundamentals of the LIP model is detailed. Next, the articleaims at surveying the connections of the LIP model with severallaws and characteristics of human brightness perception, namelythe brightness scale inversion, saturation characteristic, Weber‘sand Fechner‘s laws, and the psychophysical contrast notion. Finally,it is shown that the LIP model is a powerful and tractable framework for handling the contrast notion. This is done througha survey of several LIP-model-based contrast estimators associated with special subparts (point, pair of points,boundary, region) of intensity images, that are justified bothfrom a physical and mathematical point of view.