100 Orientation di usions P. Perona Abstract|Di usions are useful for image processing and computer vision because they provide a convenient way of smoothing noisy data, of analyzing images at multiple scales, and of enhancing discontinuities. A number of di usions of image brightness have been de ned and studied so far; they may be applied to scalar and vector-valued quantities that are natura...

The linear and nonlinear scale spaces are generalized in the complex domain, by combining the di usion equation with the simpli ed Schr odinger equation. A fundamental solution for the linear case is developed. Preliminary analysis of the complex di usion shows that the generalized di usion has properties of both forward and inverse di usion. An important observation, supported theoretically a...

Traditional error di usion halftoning produces high quality binary images from digital grayscale images. Error di usion shapes the quantization noise power into the high frequency regions where the human eye is the least sensitive. Error di usion may be extended to color images by using error lters with matrix-valued coe cients to take into account the correlation among color planes. We propose...

Inspired by a problem in steel metallurgy, we prove the existence, regularity, uniqueness, and continuous data dependence of solutions to a coupled parabolic system in a smooth bounded 3D domain, with nonlinear and nonhomogeneous boundary conditions. The nonlinear coupling takes place in the di usion coefcient. The proofs are based on anisotropic estimates in tangential and normal directions, a...

We derive a fractional reaction–di usion equation from a continuous-time random walk model with temporal memory and sources. The equation provides a general model for reaction–di usion phenomena with anomalous di usion such as occurs in spatially inhomogeneous environments. As a rst investigation of this equation we consider the special case of single species fractional reaction–di usion in one...

Conventional grayscale error di usion halftoning produces worms and other objectionable artifacts. Tone Dependent error di usion for grayscale halftoning (Li and Allebach) helps reduce these artifacts by controlling di usion of quantization errors based on the input graylevel value. Allebach et al. design error lters weights and thresholds for each (input) graylevel optimized based on a human v...

Morphological levelings are powerful operators and possess a number of desired properties for the construction of nonlinear scale space image representations. In this paper, a comparison between levelings constrained by di erent multiscale markers namely, reconstruction openings, alternate sequential, isotropic and anisotropic di usion lters was performed. For such a comparison a relation betwe...

Abstract We study a queueing model with ordered arrivals, which can be called the (i)/GI/1 queue. Here, customers from a fixed, finite, population independently sample a time to arrive from some given distribution F , and enter the queue in order of the sampled arrival times. Thus, the arrival times are order statistics, and the inter-arrival times are di↵erences of consecutive ordered statisti...

Fundamental research of turbulent combustion often requires the unambiguous localization of ame front positions and structures. Laser-induced uorescence (LIF) imaging provides di erent possibilities of detecting two-dimensional distributions of species typical for reactive areas. Simultaneous measurements of hydroxyl and formaldehyde laserinduced uorescence and total number densities by Rayleig...

Conventional grayscale error di usion halftoning produces worms and other objectionable artifacts. Tone dependent error di usion (Li and Allebach) reduces these artifacts by controlling the di usion of quantization errors based on the input graylevel. Li and Allebach optimize error lter weights and thresholds for each (input) graylevel based on a human visual system model. This paper extends to...