Efficient algorithms for geometric graph search problems
SIAM Journal on Computing
Distance transformations in digital images
Computer Vision, Graphics, and Image Processing
Fast algorithm for the computation of moment invariants
Pattern Recognition
A new approach to the maximum-flow problem
Journal of the ACM (JACM)
Minimum partitioning simple rectilinear polygons in O(n log log n) - time
SCG '89 Proceedings of the fifth annual symposium on Computational geometry
An adaptive method for image registration
Pattern Recognition
Beyond the flow decomposition barrier
Journal of the ACM (JACM)
Theoretical Improvements in Algorithmic Efficiency for Network Flow Problems
Journal of the ACM (JACM)
A fast exact euclidean distance transform with application to computer vision and digital image processing
Image and depth from a conventional camera with a coded aperture
ACM SIGGRAPH 2007 papers
Efficient and accurate computation of geometric moments on gray-scale images
Pattern Recognition
A Polygon-to-Rectangle Conversion Algorithm
IEEE Computer Graphics and Applications
Graph-Theoretic Solutions to Computational Geometry Problems
Graph-Theoretic Concepts in Computer Science
Moments and Moment Invariants in Pattern Recognition
Moments and Moment Invariants in Pattern Recognition
Refined Morphological Methods of Moment Computation
ICPR '10 Proceedings of the 2010 20th International Conference on Pattern Recognition
Incremental Distance Transforms (IDT)
ICPR '10 Proceedings of the 2010 20th International Conference on Pattern Recognition
Parameterized real-time moment computation on gray images using block techniques
Journal of Real-Time Image Processing
On a Method of Binary-Picture Representation and Its Application to Data Compression
IEEE Transactions on Pattern Analysis and Machine Intelligence
Real-time computation of two-dimensional moments on binary images using image block representation
IEEE Transactions on Image Processing
Refined moment calculation using image block representation
IEEE Transactions on Image Processing
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We present an overview of the most important methods that decompose an arbitrary binary object into a union of rectangles. We describe a run-length encoding and its generalization, decompositions based on quadtrees, on mathematical morphology, on the distance transform, and a theoretically optimal decomposition based on a maximal matching in bipartite graphs. We compare their performance in image compression, in moment computation and in linear filtering. We show that the choice is always a compromise between the complexity and time/memory consumption. We give advice how to select an appropriate method in particular cases.