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Calculating the Reflectance Map
, 1978
"... It appears that the development of machine vision may benefit from a detailed understanding of the imaging process. The reflectance map, showing scene radiance as a function of surface gradient, has proved to be helpful in this endeavor. The reflectance map depends both on the nature of the surface ..."
Abstract

Cited by 177 (9 self)
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It appears that the development of machine vision may benefit from a detailed understanding of the imaging process. The reflectance map, showing scene radiance as a function of surface gradient, has proved to be helpful in this endeavor. The reflectance map depends both on the nature of the surface
Caclulating the Reflectance Map
 Applied Optics
, 1979
"... It appears that the development of machine vision may benefit from a detailed understanding of the imaging
process. The reflectance map, showing scene radiance as a function of surface gradient, has proved to be
helpful in this endeavor. The reflectance map depends both on the nature of the surface ..."
Abstract
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It appears that the development of machine vision may benefit from a detailed understanding of the imaging
process. The reflectance map, showing scene radiance as a function of surface gradient, has proved to be
helpful in this endeavor. The reflectance map depends both on the nature of the surface
Lambertian Reflectance and Linear Subspaces
, 2000
"... We prove that the set of all reflectance functions (the mapping from surface normals to intensities) produced by Lambertian objects under distant, isotropic lighting lies close to a 9D linear subspace. This implies that, in general, the set of images of a convex Lambertian object obtained under a wi ..."
Abstract

Cited by 526 (20 self)
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We prove that the set of all reflectance functions (the mapping from surface normals to intensities) produced by Lambertian objects under distant, isotropic lighting lies close to a 9D linear subspace. This implies that, in general, the set of images of a convex Lambertian object obtained under a
Deep Reflectance Maps
"... Undoing the image formation process and therefore decomposing appearance into its intrinsic properties is a challenging task due to the underconstraint nature of this inverse problem. While significant progress has been made on inferring shape, materials and illumination from images only, progre ..."
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, progress in an unconstrained setting is still limited. We propose a convolutional neural architecture to estimate reflectance maps of specular materials in natural lighting conditions. We achieve this in an endtoend learning formulation that directly predicts a reflectance map from the image itself. We
Hill Shading and the Reflectance Map
"... AbstractShaded overlays for maps give the user an immediate appreciation for the surface topography since they appeal to an important visual depth cue. A brief review of the history of manual methods is followed by a discussion of a number of methods that have been proposed for the automatic genera ..."
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generation of shaded overlays. These techniques are compared using the reflectance map as a common representation for the dependence of tone or gray level on the orientation of surface elements. I.
Illumination and Reflection Maps: Simulated Objects In . . .
, 1984
"... Blinn and Newell introduced reflection maps for computer simulated mirror highlights. This paper extends their method to cover a wider class of reflectance models. Panoramic images of real, painted and simulated environments are used as illumination maps that are convolved (blurred) and transformed ..."
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Cited by 7 (0 self)
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Blinn and Newell introduced reflection maps for computer simulated mirror highlights. This paper extends their method to cover a wider class of reflectance models. Panoramic images of real, painted and simulated environments are used as illumination maps that are convolved (blurred) and transformed
• Reflectance Map = = Background Image
"... • Utilizes logImage derivatives Image(x,y) = Luminance(x,y) x Reflectance(x,y) => logI = logL + logR • Illposed Problem: Exploit spatial structureRobotics Institute, CMU ..."
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• Utilizes logImage derivatives Image(x,y) = Luminance(x,y) x Reflectance(x,y) => logI = logL + logR • Illposed Problem: Exploit spatial structureRobotics Institute, CMU
Directional derivatives of oblique reflection maps
, 2008
"... Given an oblique reflection map Γ and functions ψ, χ ∈ Dlim (the space of IR Kvalued functions that have left and right limits at every point), the directional derivative ∇χΓ(ψ) of Γ along χ, evaluated at ψ, is defined to be the pointwise limit (as ε ↓ 0) of the family of functions ∇ε χΓ(ψ). = ε−1 ..."
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Cited by 7 (0 self)
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Given an oblique reflection map Γ and functions ψ, χ ∈ Dlim (the space of IR Kvalued functions that have left and right limits at every point), the directional derivative ∇χΓ(ψ) of Γ along χ, evaluated at ψ, is defined to be the pointwise limit (as ε ↓ 0) of the family of functions ∇ε χΓ(ψ). = ε−1
Laplacian eigenmaps and spectral techniques for embedding and clustering.
 Proceeding of Neural Information Processing Systems,
, 2001
"... Abstract Drawing on the correspondence between the graph Laplacian, the LaplaceBeltrami op erator on a manifold , and the connections to the heat equation , we propose a geometrically motivated algorithm for constructing a representation for data sampled from a low dimensional manifold embedded in ..."
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Cited by 668 (7 self)
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of the manifold on which the data may possibly reside. Recently, there has been some interest (Tenenbaum et aI, 2000 ; The core algorithm is very simple, has a few local computations and one sparse eigenvalu e problem. The solution reflects th e intrinsic geom etric structure of the manifold. Th e justification
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