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Correction of geometric perceptual distortions in pictures

Zorin, Denis and Barr, Alan H. (1995) Correction of geometric perceptual distortions in pictures. In: SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques. ACM , New York, NY, pp. 257-264. ISBN 0-89791-701-4.

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We suggest an approach for correcting several types of perceived geometric distortions in computer-generated and photographic images. The approach is based on a mathematical formalization of desirable properties of pictures. From a small set of simple assumptions we obtain perceptually preferable viewing transformations and show that these transformations can be decomposed into a perspective or parallel projection followed by a planar transformation. The decomposition is easily implemented and provides a convenient framework for further analysis of the image mapping. We prove that two perceptually important properties are incompatible and cannot be satisfied simultaneously. It is impossible to construct a viewing transformation such that the images of all lines are straight and the images of all spheres are exact circles. Perceptually preferable tradeoffs between these two types of distortions can depend on the content of the picture. We construct parametric families of transformations with parameters representing the relative importance of the perceptual characteristics. By adjusting the settings of the parameters we can minimize the overall distortion of the picture. It turns out that a simple family of transformations produces results that are sufficiently close to optimal. We implement the proposed transformations and apply them to computer-generated and photographic perspective projection images. Our transformations can considerably reduce distortion in wide-angle motion pictures and computer-generated animations.

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Additional Information:© 1995 ACM. We wish to thank Bena Currin for her help with writing the software and Allen Concorran for the help with preparing the images. Many thanks to Greg Ward for his RADIANCE system that was used to render the image in the paper. We also thank the members of Caltech Computer Graphics Group for many useful discussions and suggestions. This work was supported in part by grants from Apple, DEC, Hewlett Packard, and IBM. Additional support was provided by NSF (ASC-89-20219), as part of the NSF/DARPA STC for Computer Graphics and Scientific Visualization. All opinions, findings, conclusions, or recommendations expressed in this document are those of the author and do not necessarily reflect the views of the sponsoring agencies.
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Subject Keywords:Perception, distortion, viewing transformations, perspective
Record Number:CaltechAUTHORS:20170110-141555051
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Official Citation:Denis Zorin and Alan H. Barr. 1995. Correction of geometric perceptual distortions in pictures. In Proceedings of the 22nd annual conference on Computer graphics and interactive techniques (SIGGRAPH '95), Susan G. Mair and Robert Cook (Eds.). ACM, New York, NY, USA, 257-264. DOI=
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:73391
Deposited On:10 Jan 2017 23:46
Last Modified:11 Nov 2021 05:15

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