Discrete mathematics with applications
Discrete mathematics with applications
Nonlinear total variation based noise removal algorithms
Proceedings of the eleventh annual international conference of the Center for Nonlinear Studies on Experimental mathematics : computational issues in nonlinear science: computational issues in nonlinear science
Morphological Image Analysis: Principles and Applications
Morphological Image Analysis: Principles and Applications
Image Analysis and Mathematical Morphology
Image Analysis and Mathematical Morphology
A Lattice Approach to Image Segmentation
Journal of Mathematical Imaging and Vision
Scale space classification using area morphology
IEEE Transactions on Image Processing
LULU operators and discrete pulse transform for multidimensional arrays
IEEE Transactions on Image Processing
3D shape from focus using LULU operators and discrete pulse transform in the presence of noise
Journal of Visual Communication and Image Representation
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The Discrete Pulse Transform (DPT) of images is defined by using a new class of LULU operators on multidimensional arrays. This transform generalizes the DPT of sequences and replicates its essential properties, e.g. total variation preservation. Furthermore, the discrete pulses in the transform capture the contrast in the original image on the boundary of their supports. Since images are perceived via the contrast between neighbour pixels, the DPT may be a convenient new tool for image analysis.