Decomposition of separable and symmetric convex templates

Dong Li; Gerhard X. Ritter

doi:10.1117/12.23608

1 November 1990 Decomposition of separable and symmetric convex templates

Dong Li, Gerhard X. Ritter

Proceedings Volume 1350, Image Algebra and Morphological Image Processing; (1990) https://doi.org/10.1117/12.23608
Event: 34th Annual International Technical Symposium on Optical and Optoelectronic Applied Science and Engineering, 1990, San Diego, CA, United States

Abstract

Convolutions are a fundamental tool in image processing. Classical examples of 2-dimensional linear convolutions include image correlation the mean filter the discrete Fourier transform and a multitude of edge mask filers. Nonlinear convolutions are used in such operations as the median filter the medial axis transform and erosions and dilations as defined in mathematical morphology. For large convolution mask the computation cost resulting from implementation can be prohibitive. However in many instances this cost can be significantly reduced by decomposing the masks or templates into a sequence of smaller templates. In addition such decompositions can often be made architecture specific and thus resulting in optimal transform performance. In this paper the issues of template decomposition are discussed in the context of the image algebra. Necessary and sufficient conditions as well as some efficient methods for decomposing rectangular symmetric convex and spherical templates are presented.

Citation Download Citation

Dong Li and Gerhard X. Ritter "Decomposition of separable and symmetric convex templates", Proc. SPIE 1350, Image Algebra and Morphological Image Processing, (1 November 1990); https://doi.org/10.1117/12.23608

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