Gradient watersheds in morphological scale-space

Author

Jackway, Paul T.

Author_Institution

Res. Centre for Sensor Signal & Inf. Process., Queensland Univ., Brisbane, Qld., Australia

Volume

5

Issue

6

fYear

1996

fDate

6/1/1996 12:00:00 AM

Firstpage

913

Lastpage

921

Abstract

After introducing several results relating to the modification of the homotopy of gradient functions based on extrema in the base image and building on earlier results in morphological scale-space, we introduce a scale-space monotonicity theorem for regions of an image defined by watersheds of a gradient function modified to retain only the local minima or maxima of its smoothed parent image. We then illustrate the theorem with an example of the scale-space extraction of texture features from the nuclei of cervical cells

Keywords

feature extraction; functional analysis; image segmentation; image texture; mathematical morphology; medical image processing; base image extrema; cervical cells nuclei; gradient function; gradient functions; gradient watersheds; homotopy; image regions; local maxima; local minima; morphological scale space; scale-space extraction; scale-space monotonicity theorem; smoothed parent image; texture features; Electrokinetics; Feature extraction; Filtering; Filters; Gaussian processes; Helium; Image coding; Image segmentation; Smoothing methods; Surface morphology;

fLanguage

English

Journal_Title

Image Processing, IEEE Transactions on

Publisher

ieee

ISSN

1057-7149

Type

jour

DOI

10.1109/83.503908

Filename

503908