Three-dimensional mathematical morphology applications

Kendall Preston Jr.

doi:10.1117/12.19604

1 July 1990 Three-dimensional mathematical morphology applications

Kendall Preston Jr.

Proceedings Volume 1247, Nonlinear Image Processing; (1990) https://doi.org/10.1117/12.19604
Event: Electronic Imaging: Advanced Devices and Systems, 1990, Santa Clara, CA, United States

Abstract

This paper reports on new results using three-dimensional binary ranking transforms. These transforms use the face-centered-cubic (FCC) tessellation which is the extension of the planar hexagonal transform in two dimensions. In this tessellation each voxel is surrounded by 12 equidistant neighbors. This leads to an interesting computational structure where any transform may be calculated by addressing a 8192-location lookup table. Thresholded medical images from CT or MR scanners have been processed to locate and measure volumes, both interior and exterior surface areas, surface convexity and concavity, tunnels, etc. Graylevel images may also be processed by column encoding where columns of voxels are erected at each x,y location whose height in the z-direction is proportional to the value of the graylevel image at that point. Using column-encoded graylevel images, three-dimensional mathem atical morphology transforms have been found which correspond to highpass, bandpass, and lowpass filters. These filters have the remarkable properties of sharp cutoffs (as steep as -60dB per octave) with no phase shifts. This paper presents several examples in military target detection, medical image analysis, and computer graphics.

Citation Download Citation

Kendall Preston Jr. "Three-dimensional mathematical morphology applications", Proc. SPIE 1247, Nonlinear Image Processing, (1 July 1990); https://doi.org/10.1117/12.19604

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available