### Abstract

We have been developing a stochastic model for figure-ground separation. The model selects/constructs the foreground with preference for figures with `more convex' shapes. When these models are applied to illusory figures they yield perceptually accurate selection of figure and background. The approach is based on an `entropy' measure of a region diffusion Markov model from a set of local figure/ground hypothesis. The contour boundaries are implicitly represented, via the thresholding of the diffusion result. What optimal properties do the illusory contours satisfies ? We show that the entropy criteria selects contours such as to minimize a Taylor series of the even derivatives with respect to the length of the contour. The coefficients are positive and they get exponentially smaller as the derivatives increase. The zeroth order term suggest that small length contours are preferred, the second order terms suggests that curvature-like term is minimized (with less strength compared to the zero order one), and higher order derivatives give additional contour smoothness constraints.

Original language | English (US) |
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Pages | 6-10 |

Number of pages | 5 |

State | Published - Dec 1 1999 |

Event | International Conference on Image Processing (ICIP'99) - Kobe, Jpn Duration: Oct 24 1999 → Oct 28 1999 |

### Other

Other | International Conference on Image Processing (ICIP'99) |
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City | Kobe, Jpn |

Period | 10/24/99 → 10/28/99 |

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### ASJC Scopus subject areas

- Hardware and Architecture
- Computer Vision and Pattern Recognition
- Electrical and Electronic Engineering

### Cite this

*Shape of illusory figures*. 6-10. Paper presented at International Conference on Image Processing (ICIP'99), Kobe, Jpn, .