Combining Points and Tangents into Parabolic Polygons
| Autor: | Marcos Craizer, Thomas Lewiner, Jean-Marie Morvan |
|---|---|
| Rok vydání: | 2007 |
| Předmět: |
Statistics and Probability
Harris affine region detector Applied Mathematics Affine differential geometry Condensed Matter Physics Topology Affine plane Affine coordinate system Affine shape adaptation Affine geometry Affine combination Modeling and Simulation Geometry and Topology Computer Vision and Pattern Recognition Affine transformation ComputingMethodologies_COMPUTERGRAPHICS Mathematics |
| Zdroj: | Journal of Mathematical Imaging and Vision. 29:131-140 |
| ISSN: | 1573-7683 0924-9907 |
| DOI: | 10.1007/s10851-007-0037-2 |
| Popis: | Image and geometry processing applications estimate the local geometry of objects using information localized at points. They usually consider information about the tangents as a side product of the points coordinates. This work proposes parabolic polygons as a model for discrete curves, which intrinsically combines points and tangents. This model is naturally affine invariant, which makes it particularly adapted to computer vision applications. As a direct application of this affine invariance, this paper introduces an affine curvature estimator that has a great potential to improve computer vision tasks such as matching and registering. As a proof-of-concept, this work also proposes an affine invariant curve reconstruction from point and tangent data. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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