Three-dimensional mathematical morphology algorithms

Kendall Preston Jr.

doi:10.1117/12.19579

1 July 1990 Three-dimensional mathematical morphology algorithms

Kendall Preston Jr.

Proceedings Volume 1246, Parallel Architectures for Image Processing; (1990) https://doi.org/10.1117/12.19579
Event: Electronic Imaging: Advanced Devices and Systems, 1990, Santa Clara, CA, United States

Abstract

This paper discusses three-dimensional mathematical morphology using FCC (Face Centered Cubic) tessellation for executing both augmentation (dilation) and reduction (erosion). By treating gray level images as three-dimensional surfaces and using this tessellation with its 12-element neighborhood, the author has designed an architecture having flash-convolver speed for use in gray level image processing. The first step in this novel approach is to convert the gray level image into a binary surface by column encoding. After conversion the gray level image consists of volume elements (voxels) each of which has a binary value of either one or zero. The FCC convolution kernel is then ud to address each voxel and modify its value according a lookup table consisting of 2¹³ = 8192 entries. This paper will describe the algorithms which can be executed using this methodology.

Citation Download Citation

Kendall Preston Jr. "Three-dimensional mathematical morphology algorithms", Proc. SPIE 1246, Parallel Architectures for Image Processing, (1 July 1990); https://doi.org/10.1117/12.19579

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