Grid analysis: Continuing the search for a metric of shape |
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| Affiliation: | 1. Department of Materials Science and Engineering, National Tsing Hua University, 101, Section 2 Kuang Fu Road, Hsinchu 30013, Taiwan;2. Department of Materials Science and Engineering, National Chiao Tung University, Hsinchu 30010, Taiwan;3. National Synchrotron Radiation Research Center, Hsinchu 30076, Taiwan;4. High Entropy Materials Center, Department of Materials Science and Engineering, National Tsing Hua University, Hsinchu 30013, Taiwan |
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| Abstract: | A model of form perception is proposed, based on the concept that shape properties can be assessed by the measurement of the dimensions of a form, taken at regular intervals over several directions in a grid of lines. These measurements are then collected into a frequency distribution, which serves as a translationally invariant summary of shape properties for purposes of perceptual judgment. The present article illustrates the basic approach using simple convex forms, with primary emphasis on grid properties and the plausibility of the model with respect to biological substrates. |
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