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Application of Logpolar Coordinate Transform in Image Processing
"... Abstract. Two kinds of application of logpolar coordinate transform based on human visual structure model in image processing are introduced: image registration and image compression. New solutions and improved measures are proposed in these two areas. In the field of image registration, improvemen ..."
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Abstract. Two kinds of application of logpolar coordinate transform based on human visual structure model in image processing are introduced: image registration and image compression. New solutions and improved measures are proposed in these two areas. In the field of image registration
Mathematical morphology in (log)polar coordinates: Shape analysis and segmentation 4
, 2006
"... Mathematical morphology in polar(logarithmic) coordinates for the analysis of roundobjects. Shape analysis and segmentation. ..."
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Mathematical morphology in polar(logarithmic) coordinates for the analysis of roundobjects. Shape analysis and segmentation.
The Dantzig selector: statistical estimation when p is much larger than n
, 2005
"... In many important statistical applications, the number of variables or parameters p is much larger than the number of observations n. Suppose then that we have observations y = Ax + z, where x ∈ R p is a parameter vector of interest, A is a data matrix with possibly far fewer rows than columns, n ≪ ..."
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Cited by 875 (14 self)
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≪ p, and the zi’s are i.i.d. N(0, σ 2). Is it possible to estimate x reliably based on the noisy data y? To estimate x, we introduce a new estimator—we call the Dantzig selector—which is solution to the ℓ1regularization problem min ˜x∈R p ‖˜x‖ℓ1 subject to ‖A T r‖ℓ ∞ ≤ (1 + t −1) √ 2 log p · σ
Rho GTPases and the actin cytoskeleton
 Science
, 1998
"... The actin cytoskeleton mediates a variety of essential biological functions in all eukaryotic cells. In addition to providing a structural framework around which cell shape and polarity are defined, its dynamic properties provide the driving force for cells to move and to divide. Understanding the b ..."
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Cited by 611 (4 self)
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The actin cytoskeleton mediates a variety of essential biological functions in all eukaryotic cells. In addition to providing a structural framework around which cell shape and polarity are defined, its dynamic properties provide the driving force for cells to move and to divide. Understanding
Detecting Motion Independent of the Camera Movement through a LogPolar Differential Approach
, 1997
"... . This paper is concerned with a differential motion detection technique in logpolar coordinates which allows object motion tracking independently of the camera egomotion when camera focus is along the movement direction. The method does not use any explicit estimation of the motion field, which c ..."
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Cited by 6 (4 self)
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. This paper is concerned with a differential motion detection technique in logpolar coordinates which allows object motion tracking independently of the camera egomotion when camera focus is along the movement direction. The method does not use any explicit estimation of the motion field, which
Model Selection Through Sparse Maximum Likelihood Estimation for Multivariate Gaussian or Binary Data
 JOURNAL OF MACHINE LEARNING RESEARCH
, 2008
"... We consider the problem of estimating the parameters of a Gaussian or binary distribution in such a way that the resulting undirected graphical model is sparse. Our approach is to solve a maximum likelihood problem with an added ℓ1norm penalty term. The problem as formulated is convex but the memor ..."
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Cited by 332 (2 self)
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but the memory requirements and complexity of existing interior point methods are prohibitive for problems with more than tens of nodes. We present two new algorithms for solving problems with at least a thousand nodes in the Gaussian case. Our first algorithm uses block coordinate descent, and can
Stable Distributions, Pseudorandom Generators, Embeddings and Data Stream Computation
, 2000
"... In this paper we show several results obtained by combining the use of stable distributions with pseudorandom generators for bounded space. In particular: ffl we show how to maintain (using only O(log n=ffl 2 ) words of storage) a sketch C(p) of a point p 2 l n 1 under dynamic updates of its coo ..."
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Cited by 324 (13 self)
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In this paper we show several results obtained by combining the use of stable distributions with pseudorandom generators for bounded space. In particular: ffl we show how to maintain (using only O(log n=ffl 2 ) words of storage) a sketch C(p) of a point p 2 l n 1 under dynamic updates of its
Egomotion Estimation Using LogPolar Images
, 1998
"... We address the problem of egomotion estimation of a monocular observer moving with arbitrary translation and rotation in an unknown environment, using logpolar images. The method we propose is uniquely based on the spatiotemporal image derivatives, or the normal flow. Thus, we avoid computing the ..."
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Cited by 2 (0 self)
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image geometry, as we use a selection of special normal flow vectors with simple representation in logpolar coordinates. This approach highlights the close coupling between algorithmic aspects and the sensor geometry (retina physiology), often found in nature. Finally, we present and discuss a set
A Logpolar Image Processing System on a Chip
"... Abstract — This paper deals with the implementation, in a high density reprogrammable device, of a complete logpolar image processing system. The logpolar vision reduces the amount of data to be processed and simplifies several vision algorithms, making it possible the implementation of a complete ..."
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complete processing system on a single chip. The image processing system has a conversion module from cartesian to logpolar coordinates that has been developed by means of the CORDIC algorithm, and a processing module for implementing differential algorithms as a pipeline of differentiation stages. A
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"... ABSTRACT⎯Logpolar coordinate image space is proposed as a solution for the problem of unbounded accumulator space in the automatic detection of vanishing points. The proposed method can detect vanishing points at high speed under small memory requirements, as opposed to conventional image space bas ..."
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ABSTRACT⎯Logpolar coordinate image space is proposed as a solution for the problem of unbounded accumulator space in the automatic detection of vanishing points. The proposed method can detect vanishing points at high speed under small memory requirements, as opposed to conventional image space
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