image contrast, complexity, and stability

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COMPUTER VISION, GRAPHICS,AND IMAGEPROCESSING22, 412 (1983) Abstracts of Papers Accepted for Publication PAPER Exact Reproduction of Colored Images. BERTHOLD K. P. HORN. Artificial Intelligence Laboratory, Massachusetts Institute of Technology, Cambridge, Massachusetts. Received August 31, 1982; revised February 3, 1983; accepted March 30, 1983. The problem of producing a colored image from a colored original is analyzed. Conditions are determined for the production of an image in which the colors cannot be distinguished from those in the original by a human observer. If the final image is produced by superposition of controlled amounts of colored lights, only a simple linear transform need be applied to the outputs of the image sensors to produce the control inputs required for the image generators. In systems which depend instead on control of the concentration or the fractional area covered by colored dyes, a more difficult computation is called for. This calculation may for practical purposes be expressed in table look-up form. The conditions for exact reproduction of colored images should prove useful in the design and analysis of image processing systems whose final output is intended for human viewing. Judging by the design of some existing systems, these rules are not generally known or adhered to. Modem computational techniques make it practical to tackle this problem now. Adherence to design constraints developed here is of particular importance where colors are to be judged when the original is not directly accessible to the observer as, for example, when it is on another planet. NOTE Image Contrast, Complexity, and Stability. ROBERT RICH. March 21. Received September 11, 1982; revised Three quantities associated with an image are defined and studied. Contrast (C) and complexity (K) are defined in terms of the first and second derivatives of the image. K is a measure of the fine detail in the image. Stability is defined as C/K and is shown to measure the rate at which an image loses contrast when degraded. For the case of continuous images both local and global behaviour is studied. Some discrete examples are also presented. 0734-189X/83 $3.00 Copyright ~'~1983by AcademicPress, Inc. All rightsof reproductionin any form reserved. 412

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COMPUTER VISION, GRAPHICS, AND IMAGE PROCESSING 22, 412 (1983)

Abstracts of Papers Accepted for Publication

PAPER

Exact Reproduction of Colored Images. BERTHOLD K. P. HORN. Artificial Intelligence Laboratory, Massachusetts Institute of Technology, Cambridge, Massachusetts. Received August 31, 1982; revised February 3, 1983; accepted March 30, 1983.

The problem of producing a colored image from a colored original is analyzed. Conditions are determined for the production of an image in which the colors cannot be distinguished from those in the original by a human observer. If the final image is produced by superposition of controlled amounts of colored lights, only a simple linear transform need be applied to the outputs of the image sensors to produce the control inputs required for the image generators. In systems which depend instead on control of the concentration or the fractional area covered by colored dyes, a more difficult computation is called for. This calculation may for practical purposes be expressed in table look-up form. The conditions for exact reproduction of colored images should prove useful in the design and analysis of image processing systems whose final output is intended for human viewing. Judging by the design of some existing systems, these rules are not generally known or adhered to. Modem computational techniques make it practical to tackle this problem now. Adherence to design constraints developed here is of particular importance where colors are to be judged when the original is not directly accessible to the observer as, for example, when it is on another planet.

NOTE

Image Contrast, Complexity, and Stability. ROBERT RICH. March 21.

Received September 11, 1982; revised

Three quantities associated with an image are defined and studied. Contrast (C) and complexity (K) are defined in terms of the first and second derivatives of the image. K is a measure of the fine detail in the image. Stability is defined as C/K and is shown to measure the rate at which an image loses contrast when degraded. For the case of continuous images both local and global behaviour is studied. Some discrete examples are also presented.

0734-189X/83 $3.00 Copyright ~'~ 1983 by Academic Press, Inc. All rights of reproduction in any form reserved.

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