Morphological structuring element decomposition
Computer Vision, Graphics, and Image Processing
Computer Vision, Graphics, and Image Processing
Region filing with the use of the discrete green theorem
Computer Vision, Graphics, and Image Processing
Restoration of binary images using contour direction chain codes description
Computer Vision, Graphics, and Image Processing
Pattern Spectrum and Multiscale Shape Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Analysis of Thinning Algorithms Using Mathematical Morphology
IEEE Transactions on Pattern Analysis and Machine Intelligence
Morphological Shape Decomposition
IEEE Transactions on Pattern Analysis and Machine Intelligence
A fast algorithm for the restoration of images based on chain codes description and its applications
Computer Vision, Graphics, and Image Processing
Automatic Representation of Binary Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
The classification properties of the spectrum and its use for pattern identification
Circuits, Systems, and Signal Processing
Fast Homotopy-Preserving Skeletons Using Mathematical Morphology
IEEE Transactions on Pattern Analysis and Machine Intelligence
Computer graphics (2nd ed. in C): principles and practice
Computer graphics (2nd ed. in C): principles and practice
Comparison Between the Morphological Skeleton and Morphological Shape Decomposition
IEEE Transactions on Pattern Analysis and Machine Intelligence
Image Analysis Applications
Handbook of Computer Vision Algorithms in Image Algebra
Handbook of Computer Vision Algorithms in Image Algebra
Boundary-Constrained Morphological Skeleton Minimization and Skeleton Reconstruction
IEEE Transactions on Pattern Analysis and Machine Intelligence
Software implementation of the Q-Coder
IBM Journal of Research and Development - Q-Coder adaptive binary arithmetic coder
Image Analysis and Mathematical Morphology
Image Analysis and Mathematical Morphology
Efficient morphological shape representation
IEEE Transactions on Image Processing
Comments on “On the invertibility of morphological representation of binary images” [and reply]
IEEE Transactions on Image Processing
Morphological operators for image and video compression
IEEE Transactions on Image Processing
Hierarchical representation of 2-D shapes using convex polygons: a contour-based approach
Pattern Recognition Letters
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In this paper, a novel morphological reversible contour representation of discrete binary images is proposed. A binary image is represented by a set of nonoverlapping multilevel contours and a residual image. In this proposed representation, the total number of pixels representing an image is far less than the total number of pixels obtained by the seed-based morphological contour-skeleton lossless representation. The proposed contour representation is simple, unique, and general without restrictions on the binary image to be represented. Moreover, it requires fewer number of operations to compute the proposed representation compared with other lossless morphological representation methods. The resulting multicontour image component is also robust to noise. An efficient differential chain contour coding scheme is employed to further compress the represented image. The proposed method yields very low bit rates compared to the existing morphological techniques. To exactly reconstruct an original image, an automatic filling procedure, which properly fills a proper multicontour image according to its topological structure without need of seed points, is proposed. The morphological unique contour representation and its lossless reconstruction techniques have been tested on images with varying size and complexity. Examples are presented to illustrate the performance of the proposed method.