We prove two results about the continuous maps F, from the space of d-dimensional convex bodies K of R g into the space of non-empty compact sets of R ~, which are subadditive and invariant by affine permutations. The first theorem gives properties of the images F(K). In the second one, we determine
Recognition invariant under unknown affine transformations of intensity
✍ Scribed by Sébastien Roy; Daniel Lefebvre; Henri H Arsenault
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 609 KB
- Volume
- 238
- Category
- Article
- ISSN
- 0030-4018
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✦ Synopsis
We address the problem of image recognition in the presence of unknown uniform and nonuniform intensity transformations. Multiplicative and additive uniform intensity transformations considered are solved using a method that we recently proposed called the locally adaptive contrast-invariant filter. We now generalize this method for situations where a linear intensity gradient across an object can also be present. We use a set of four orthonormal images, and compute the correlations between each of those images and the scene, and one additional correlation and combine the five correlation planes in a nonlinear manner. Results show that discrimination is good.
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