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149,912
What is the Set of Images of an Object Under All Possible Lighting Conditions
 IEEE CVPR
, 1996
"... The appearance of a particular object depends on both the viewpoint from which it is observed and the light sources by which it is illuminated. If the appearance of two objects is never identical for any pose or lighting conditions, then in theory the objects can always be distinguished or recogni ..."
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Cited by 389 (25 self)
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or recognized. The question arises: What is the set of images of an object under all lighting conditions and pose? In this paper, ive consider only the set of images of an object under variable allumination (including multiple, extended light sources and attached shadows). We prove that the set of npixel
The Contourlet Transform: An Efficient Directional Multiresolution Image Representation
 IEEE TRANSACTIONS ON IMAGE PROCESSING
"... The limitations of commonly used separable extensions of onedimensional transforms, such as the Fourier and wavelet transforms, in capturing the geometry of image edges are well known. In this paper, we pursue a “true” twodimensional transform that can capture the intrinsic geometrical structure t ..."
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Cited by 513 (20 self)
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flexible multiresolution, local, and directional image expansion using contour segments, and thus it is named the contourlet transform. The discrete contourlet transform has a fast iterated filter bank algorithm that requires an order N operations for Npixel images. Furthermore, we establish a precise
Interactive Graph Cuts for Optimal Boundary & Region Segmentation of Objects in ND Images
, 2001
"... In this paper we describe a new technique for general purpose interactive segmentation of Ndimensional images. The user marks certain pixels as “object” or “background” to provide hard constraints for segmentation. Additional soft constraints incorporate both boundary and region information. Graph ..."
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Cited by 1010 (20 self)
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In this paper we describe a new technique for general purpose interactive segmentation of Ndimensional images. The user marks certain pixels as “object” or “background” to provide hard constraints for segmentation. Additional soft constraints incorporate both boundary and region information. Graph
Layered depth images
, 1997
"... In this paper we present an efficient image based rendering system that renders multiple frames per second on a PC. Our method performs warping from an intermediate representation called a layered depth image (LDI). An LDI is a view of the scene from a single input camera view, but with multiple pix ..."
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Cited by 456 (29 self)
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pixels along each line of sight. When n input images are preprocessed to create a single LDI, the size of the representation grows linearly only with the observed depth complexity in the n images, instead of linearly with n. Moreover, because the LDI data are represented in a single image coordinate
Original Answers Half the Answers Reconstruction
"... Compressed Sensing aims to recover the complete information from incomplete measurements, e.g. an image from only half its pixels. Perhaps surprisingly, this is possible under certain conditions. It should be noted that Compressed Sensing is a general concept that is unrelated to classical image pro ..."
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processing, but images are a good way to illustrate it. Take your favourite Npixel image, and answer us N/2 questions of the form “what value is pixel 7 ” or “what is the sum of the first three pixels”.
Suboptimality of nonlocal means for images with sharp edges
 Appl. Comput. Harmon. Anal. 2012
"... We conduct an asymptotic risk analysis of the nonlocal means image denoising algorithm for the Horizon class of images that are piecewise constant with a sharp edge discontinuity. We prove that the mean square risk of an optimally tuned nonlocal means algorithm decays according to n−1 log1/2+ n, ..."
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Cited by 3 (1 self)
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, for an npixel image with > 0. This decay rate is an improvement over some of the predecessors of this algorithm, including the linear convolution filter, median filter, and the SUSAN filter, each of which provides a rate of only n−2/3. It is also within a logarithmic factor from optimally tuned wavelet
A Multiscale Random Field Model for Bayesian Image Segmentation
, 1996
"... Many approaches to Bayesian image segmentation have used maximum a posteriori (MAP) estimation in conjunction with Markov random fields (MRF). While this approach performs well, it has a number of disadvantages. In particular, exact MAP estimates cannot be computed, approximate MAP estimates are com ..."
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Cited by 308 (21 self)
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Many approaches to Bayesian image segmentation have used maximum a posteriori (MAP) estimation in conjunction with Markov random fields (MRF). While this approach performs well, it has a number of disadvantages. In particular, exact MAP estimates cannot be computed, approximate MAP estimates
Topographic Transformation as a Discrete Latent Variable
 In Advances in Neural Information Processing Systems 12
, 2000
"... Invariance to topographic transformations such as translation and shearing in an image has been successfully incorporated into feedforward mechanisms, e.g., \convolutional neural networks", \tangent propagation". We describe a way to add transformation invariance to a generative densit ..."
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happens to the point in the Ndimensional space corresponding to an Npixel image of an object, while the obje...
An Analog Image Processing LSI Employing Scanning
 Line Parallel Processing,” Proc. 29th European SolidSate Circuits Conference (ESSCIRC 2003
, 2003
"... A 64 x 64pixel analog image filtering processor has been developed. The chip employs the scanning lineparallel processing architecture in order to realize a very fast execution of image filtering operation. In addition, any typical filtering kernels are programmable in this architecture. The line p ..."
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Cited by 1 (1 self)
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x Npixel image. A prototype chip of 64 x 64pixel array was fabricated in a 0.6µm doublepolysilicon triplemetal CMOS technology, and the proposed concept has been experimentally demonstrated. 1.
Parametric manifold of an object under different viewing directions
 In ECCV
, 2012
"... Abstract. The appearance of a 3D object depends on both the viewing directions and illumination conditions. It is proven that all npixel images of a convex object with Lambertian surface under variable lighting from infinity form a convex polyhedral cone (called illumination cone) in ndimensiona ..."
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Cited by 5 (0 self)
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Abstract. The appearance of a 3D object depends on both the viewing directions and illumination conditions. It is proven that all npixel images of a convex object with Lambertian surface under variable lighting from infinity form a convex polyhedral cone (called illumination cone) in n
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