Abstract
A statistical foundation is given to the problem of hypothesizing and testing geometric properties of image data heuristically derived by Kanatani ( CVGIP: Image Understanding 54 (1991), 333-348). Points and lines in the image are represented by "N-vectors" and their reliability is evaluated by their "covariance matrices". Under a Gaussian approximation of the distribution, the test takes the form of a χ 2 test. Test criteria are explicitly stated for model matching and testing edge groupings, vanishing points, focuses of expansion, and vanishing lines.
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