Fundamentals of digital image processing
Fundamentals of digital image processing
Decomposition of Arbitrarily Shaped Morphological Structuring Elements
IEEE Transactions on Pattern Analysis and Machine Intelligence
Residuals + directional gaps = skeletons
Pattern Recognition Letters
Multi-hypothesis, volumetric reconstruction of 3-D objects from multiple calibrated camera views
ICASSP '99 Proceedings of the Acoustics, Speech, and Signal Processing, 1999. on 1999 IEEE International Conference - Volume 06
Survey of image-based representations and compression techniques
IEEE Transactions on Circuits and Systems for Video Technology
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In this paper, we propose fast three-dimensional (3D) dilation and erosion methods using run-length encoding (RLE). RLE is an alternative way of representing a binary image using a run, which is a sequence of 'one' pixels. We extend the principle of two-dimensional (2D) RLE to 3D RLE and show that the proposed RLE-based 3D morphological operations can save a considerable amount of computation time. From our analysis, we found that the proposed method reduces computation time by more than 30% over voxel-wise processing. This reduction in computational time and complexity increases as more voxels, and consequently more operations, are processed. We describe a complete and detailed set of procedures for deriving the proposed 3D dilation and erosion. Since a morphological operator is a widely accepted tool for various applications, we believe that the proposed 3D morphological methods will reduce the processing time and increase the performance efficiency of these popular filters.