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## What Is the Set of Images of an Objectunder All Possible Illumination Conditions?

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168 | The bas-relief ambiguity.
- Belhumeur, Kriegman, et al.
- 1999
(Show Context)
Citation Context ...cts and theshadows they cast. The structure of objects with Lambertian reflectance, but nonconvex shapes, can be re-covered up to a "generalized bas-relief" transformation from as few as three images =-=[4]-=-. From this, it ispossible to determine the cast shadows exactly. Rather the difficulty is due to the fact that the reflectance func-tion is unknown. To determine the reflectance function exactly coul... |

1 |
Detection of diffuseand specular interface reflections and inter-reflections by color image segmentation
- Bajcsy, Lee, et al.
- 1996
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Citation Context ...hin have natural applications to recognition algorithms. 5.1. Interreflection A surface is not just illuminated by the light sourcesbut also through interreflections from points on the surface itself =-=[1, 11]-=-. For a Lambertian surface, theimage with interreflection x0 is related to the imagethat would be formed without interreflection x by x0 = (I \GammasRK)\Gamma 1x where I is the identity matrix, R is a... |

1 |
Theory of OptimalControl and Mathematical Programming
- Canon, Jr, et al.
- 1970
(Show Context)
Citation Context ...ages L0 is a convex cone in IRn. Proof: L0 = L"fx j x 2 IRn, with all componentsof x * 0g. Both L and the positive orthant are convex.For the definition of convexity and the definition of a cone, see =-=[6, 27]-=-. Because the intersection of twoconvex sets is convex, it follows that L 0 is convex.Because L is a linear subspace, if x 2 L then ffx2 L. And, if x has all components non-negative, then ffx has all ... |

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Spectral sharpening:Sensor transformations for improved color
- Finlayson, Drew, et al.
- 1994
(Show Context)
Citation Context ...ces with identical spectraldistributions. 4.1. Narrow-Band Cameras Following [23], if the sensing elements in each colorchannel have narrow-band spectral response or can be made to appear narrow band =-=[9]-=-, then aei(*) can beapproximated by a Dirac delta function about some wavelength *i, and Eq. 3 can be rewritten as xi = ae(*i)(R(*i)N )(~s(*i)^s) = aei(RiN )(~si^s): (4) Note that aei; Ri and N are co... |

1 | Dimensionality of illumination in appearance matching - August - 1996 |

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