Mathematical model for the intensity-dependent spread (IDS) filter and its inverse

Shahriar Najand; Douglas Blough; Glenn Healey

doi:10.1117/12.217402

22 August 1995 Mathematical model for the intensity-dependent spread (IDS) filter and its inverse

Shahriar Najand, Douglas Blough, Glenn Healey

Proceedings Volume 2564, Applications of Digital Image Processing XVIII; (1995) https://doi.org/10.1117/12.217402
Event: SPIE's 1995 International Symposium on Optical Science, Engineering, and Instrumentation, 1995, San Diego, CA, United States

Abstract

Cornsweet and Yellott invented the nonlinear intensity dependent spread (IDS) filter based on the human visual system. They showed that this filter shares certain characteristics with the human visual system such as Mach bands, Weber's law, and Ricco's law, which account for the bandpass characteristic, brightness constancy, and trade off between stability and resolution. Up to now, because of its nonlinearity and mathematical complexity, the study of its response has been limited to simple images such as step edges or sinusoidal gratings. Also, no good inverse models have been introduced to allow this filter to possibly be used for image compression. In this paper we provide a more complete model for the IDS filter and its inverse and show that for all circularly symmetric spread functions, the bandpass characteristic of the IDS filter can be modeled as spatial summation of spatially varying high pass filter, and that the high pass filter can be modeled as the Laplacian of a low pass filter. We then show that the image can be recovered by inverting the effects of the Laplacian, followed by a deblurring stage and then computing the reciprocal of the result.

Citation Download Citation

Shahriar Najand, Douglas Blough, and Glenn Healey "Mathematical model for the intensity-dependent spread (IDS) filter and its inverse", Proc. SPIE 2564, Applications of Digital Image Processing XVIII, (22 August 1995); https://doi.org/10.1117/12.217402

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

Members: $17.00

Non-members: $21.00 ADD TO CART

PROCEEDINGS
11 PAGES

DOWNLOAD PAPER SAVE TO MY LIBRARY

GET CITATION

RIGHTS & PERMISSIONS

Get copyright permission Get copyright permission on Copyright Marketplace

KEYWORDS

Optical filters

Linear filtering

Image filtering

Gaussian filters

Mathematical modeling

Nonlinear filtering

Visual system

Show All Keywords

Keywords/Phrases

Search In:

Publication Years