Journal ArticleDOI
The local structure of space-variant images
TLDR
The form of the most common differential operators and surface characteristics in the space-variant domain are derived and examples of their use are shown, including the Laplacian, the gradient and the divergence.About:
This article is published in Neural Networks.The article was published on 1997-07-01. It has received 21 citations till now. The article focuses on the topics: Image processing & Laplace operator.read more
Citations
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Journal ArticleDOI
A review of log-polar imaging for visual perception in robotics
TL;DR: This paper surveys the application of log-polar imaging in robotic vision, particularly in visual attention, target tracking, egomotion estimation, and 3D perception and to help readers identify promising research directions.
Complex variables and applications
TL;DR: In this article, Cauchy-Goursat Theorem 2.1.1 was extended to include the point at infinity and the point of infinity at infinity in the definition of differentiability of analytical functions.
Proceedings ArticleDOI
A retina-like CMOS sensor and its applications
TL;DR: This paper describes the implementation in silicon of a retina-like sensor characterized by a space-variant resolution similar to that of the human retina and its applications for real-time control and image transmission.
Journal ArticleDOI
Space-variant Fourier analysis: the exponential chirp transform
TL;DR: A new linear integral transform is defined, which is called the exponential chirp transform, which provides frequency domain image processing for space-variant image formats, while preserving the major aspects of the shift-invariant properties of the usual Fourier transform.
Dissertation
Hierarchical object-based visual attention for machine vision
TL;DR: The model is the first implemented machine vision model of integrated object-based and space-based visual attention and has outstanding hierarchical selectivity from far to near and from coarse to fine by features, objects, spatial regions, and their groupings in complex natural scenes.
References
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Journal ArticleDOI
Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images
Stuart Geman,Donald Geman +1 more
TL;DR: The analogy between images and statistical mechanics systems is made and the analogous operation under the posterior distribution yields the maximum a posteriori (MAP) estimate of the image given the degraded observations, creating a highly parallel ``relaxation'' algorithm for MAP estimation.
Journal ArticleDOI
Scale-space and edge detection using anisotropic diffusion
Pietro Perona,Jitendra Malik +1 more
TL;DR: A new definition of scale-space is suggested, and a class of algorithms used to realize a diffusion process is introduced, chosen to vary spatially in such a way as to encourage intra Region smoothing rather than interregion smoothing.
Book
Differential geometry of curves and surfaces
TL;DR: This paper presents a meta-geometry of Surfaces: Isometrics Conformal Maps, which describes how the model derived from the Gauss Map changed over time to reflect the role of curvature in the model construction.
Journal ArticleDOI
The structure of images
TL;DR: It is shown that any image can be embedded in a one-parameter family of derived images (with resolution as the parameter) in essentially only one unique way if the constraint that no spurious detail should be generated when the resolution is diminished, is applied.
Journal ArticleDOI
Image selective smoothing and edge detection by nonlinear diffusion. II
TL;DR: In this article, a new version of the Perona and Malik theory for edge detection and image restoration is proposed, which keeps all the improvements of the original model and avoids its drawbacks.
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