{
  "id": "1603.06336",
  "version": "v1",
  "published": "2016-03-21T06:45:51.000Z",
  "updated": "2016-03-21T06:45:51.000Z",
  "title": "A unified approach to the well-posedness of some non-Lambertian models in Shape-from-Shading theory",
  "authors": [
    "Fabio Camilli",
    "Simone Tozza"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we show that the introduction of an attenuation factor in the %image irradiance brightness equations relative to various perspective Shape from Shading models allows to make the corresponding differential problems well-posed. We propose a unified approach based on the theory of viscosity solution and we show that the brightness equations with the attenuation term admit a unique viscosity solution. We also discuss in detail the possible boundary conditions that we can use for the Hamilton-Jacobi equations associated to these models.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-03-21T06:45:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "unified approach",
      "non-lambertian models",
      "shape-from-shading theory",
      "well-posedness",
      "attenuation term admit"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160306336C"
    }
  }
}