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IEEE Transactions on Image Processing

Issue 3 • Date March 1998

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Displaying Results 1 - 21 of 21
  • Introduction To The Special Issue On Partial Differential Equations And Geometry-driven Diffusion In Image Processing And Analysis

    Publication Year: 1998, Page(s):269 - 273
    Cited by:  Papers (57)
    Request permission for commercial reuse | PDF file iconPDF (69 KB)
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  • Nonlinear wavelet image processing: variational problems, compression, and noise removal through wavelet shrinkage

    Publication Year: 1998, Page(s):319 - 335
    Cited by:  Papers (319)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (922 KB)

    This paper examines the relationship between wavelet-based image processing algorithms and variational problems. Algorithms are derived as exact or approximate minimizers of variational problems; in particular, we show that wavelet shrinkage can be considered the exact minimizer of the following problem. Given an image F defined on a square I, minimize over all g in the Besov space B1... View full abstract»

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  • A morphological, affine, and Galilean invariant scale-space for movies

    Publication Year: 1998, Page(s):444 - 456
    Cited by:  Papers (12)  |  Patents (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (628 KB)

    We study a model of multiscale analysis (or scale-space) applied to movies. This model comes from a thorough formalization that has been done in the theory of scale-space of static image. This formulation has led one to associate with each multiscale analysis a partial differential equation (PDE). We examine the case of movies, and insist on the motion aspects. More precisely, it has been proved b... View full abstract»

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  • A Volterra type model for image processing

    Publication Year: 1998, Page(s):292 - 303
    Cited by:  Papers (11)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (472 KB)

    We present a class of time-delay anisotropic diffusion models for image restoration. These models lead to asymptotic states that are selected on the basis of a contrast parameter and bear some analogy with neural networks with Hebbian dynamical learning rules. Numerical examples show that these models are efficient in removing even high levels of noise, while allowing an accurate tracking of the e... View full abstract»

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  • Area and length minimizing flows for shape segmentation

    Publication Year: 1998, Page(s):433 - 443
    Cited by:  Papers (127)  |  Patents (3)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (376 KB)

    A number of active contour models have been proposed that unify the curve evolution framework with classical energy minimization techniques for segmentation, such as snakes. The essential idea is to evolve a curve (in two dimensions) or a surface (in three dimensions) under constraints from image forces so that it clings to features of interest in an intensity image. The evolution equation has bee... View full abstract»

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  • Multigrid anisotropic diffusion

    Publication Year: 1998, Page(s):280 - 291
    Cited by:  Papers (74)  |  Patents (9)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (368 KB)

    A multigrid anisotropic diffusion algorithm for image processing is presented. The multigrid implementation provides an efficient hierarchical relaxation method that facilitates the application of anisotropic diffusion to time-critical processes. Through a multigrid V-cycle, the anisotropic diffusion equations are successively transferred to coarser grids and used in a coarse-to-fine error correct... View full abstract»

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  • Robust anisotropic diffusion

    Publication Year: 1998, Page(s):421 - 432
    Cited by:  Papers (354)  |  Patents (16)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (376 KB)

    Relations between anisotropic diffusion and robust statistics are described in this paper. Specifically, we show that anisotropic diffusion can be seen as a robust estimation procedure that estimates a piecewise smooth image from a noisy input image. The “edge-stopping” function in the anisotropic diffusion equation is closely related to the error norm and influence function in the rob... View full abstract»

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  • Projective analysis of 2-D images

    Publication Year: 1998, Page(s):274 - 279
    Cited by:  Papers (4)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (328 KB)

    The use of the heatlike equation has been extended to the projective case in order to find a projective analysis of curves and images; unfortunately, this formulation leads to a fifth-order partial differential equation (PDE) that is not easy to implement. Thanks to the use of a three-dimensional (3-D) homogeneous representation of a picture, we present an alternative. Roughly speaking, it is a ki... View full abstract»

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  • Total variation blind deconvolution

    Publication Year: 1998, Page(s):370 - 375
    Cited by:  Papers (384)  |  Patents (4)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (344 KB)

    We present a blind deconvolution algorithm based on the total variational (TV) minimization method proposed by Acar and Vogel (1994). The motivation for regularizing with the TV norm is that it is extremely effective for recovering edges of images as well as some blurring functions, e.g., motion blur and out-of-focus blur. An alternating minimization (AM) implicit iterative scheme is devised to re... View full abstract»

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  • Adaptive thresholding by variational method

    Publication Year: 1998, Page(s):468 - 473
    Cited by:  Papers (66)  |  Patents (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (208 KB)

    When using thresholding method to segment an image, a fixed threshold is not suitable if the background is uneven. Here, we propose a new adaptive thresholding method using variational theory. The method requires only one parameter to be selected and the adaptive threshold surface can be found automatically from the original image View full abstract»

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  • Variational approach for edge-preserving regularization using coupled PDEs

    Publication Year: 1998, Page(s):387 - 397
    Cited by:  Papers (123)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (900 KB)

    This paper deals with edge-preserving regularization for inverse problems in image processing. We first present a synthesis of the main results we have obtained in edge-preserving regularization by using a variational approach. We recall the model involving regularizing functions φ and we analyze the geometry-driven diffusion process of this model in the three-dimensional (3-D) case. Then a ha... View full abstract»

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  • Affine plane curve evolution: a fully consistent scheme

    Publication Year: 1998, Page(s):411 - 420
    Cited by:  Papers (25)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (460 KB)

    We present an accurate numerical scheme for the affine plane curve evolution and its morphological extension to grey-level images. This scheme is based on the iteration of a nonlocal, fully affine invariant and numerically stable operator, which can be exactly computed on polygons. The properties of this operator ensure that a few iterations are sufficient to achieve a very good accuracy, unlike c... View full abstract»

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  • Snakes, shapes, and gradient vector flow

    Publication Year: 1998, Page(s):359 - 369
    Cited by:  Papers (1062)  |  Patents (24)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (440 KB)

    Snakes, or active contours, are used extensively in computer vision and image processing applications, particularly to locate object boundaries. Problems associated with initialization and poor convergence to boundary concavities, however, have limited their utility. This paper presents a new external force for active contours, largely solving both problems. This external force, which we call grad... View full abstract»

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  • Orientation diffusions

    Publication Year: 1998, Page(s):457 - 467
    Cited by:  Papers (64)  |  Patents (2)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1544 KB)

    Diffusions are useful for image processing and computer vision because they provide a convenient way of smoothing noisy data, analyzing images at multiple scales, and enhancing discontinuities. A number of diffusions of image brightness have been defined and studied so far; they may be applied to scalar and vector-valued quantities that are naturally associated with intervals of either the real li... View full abstract»

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  • Color TV: total variation methods for restoration of vector-valued images

    Publication Year: 1998, Page(s):304 - 309
    Cited by:  Papers (250)  |  Patents (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (256 KB)

    We propose a new definition of the total variation (TV) norm for vector-valued functions that can be applied to restore color and other vector-valued images. The new TV norm has the desirable properties of (1) not penalizing discontinuities (edges) in the image, (2) being rotationally invariant in the image space, and (3) reducing to the usual TV norm in the scalar case. Some numerical experiments... View full abstract»

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  • An axiomatic approach to image interpolation

    Publication Year: 1998, Page(s):376 - 386
    Cited by:  Papers (131)  |  Patents (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (564 KB)

    We discuss possible algorithms for interpolating data given in a set of curves and/or points in the plane. We propose a set of basic assumptions to be satisfied by the interpolation algorithms which lead to a set of models in terms of possibly degenerate elliptic partial differential equations. The absolute minimal Lipschitz extension model (AMLE) is singled out and studied in more detail. We show... View full abstract»

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  • Efficient and reliable schemes for nonlinear diffusion filtering

    Publication Year: 1998, Page(s):398 - 410
    Cited by:  Papers (262)  |  Patents (12)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (376 KB)

    Nonlinear diffusion filtering in image processing is usually performed with explicit schemes. They are only stable for very small time steps, which leads to poor efficiency and limits their practical use. Based on a discrete nonlinear diffusion scale-space framework we present semi-implicit schemes which are stable for all time steps. These novel schemes use an additive operator splitting (AOS), w... View full abstract»

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  • A general framework for low level vision

    Publication Year: 1998, Page(s):310 - 318
    Cited by:  Papers (151)  |  Patents (1)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (1012 KB)

    We introduce a new geometrical framework based on which natural flows for image scale space and enhancement are presented. We consider intensity images as surfaces in the (x,I) space. The image is, thereby, a two-dimensional (2-D) surface in three-dimensional (3-D) space for gray-level images, and 2-D surfaces in five dimensions for color images. The new formulation unifies many classical schemes ... View full abstract»

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  • Variational principles, surface evolution, PDEs, level set methods, and the stereo problem

    Publication Year: 1998, Page(s):336 - 344
    Cited by:  Papers (173)  |  Patents (4)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (300 KB)

    We present a novel geometric approach for solving the stereo problem for an arbitrary number of images (⩾2). It is based upon the definition of a variational principle that must be satisfied by the surfaces of the objects in the scene and their images. The Euler-Lagrange equations that are deduced from the variational principle provide a set of partial differential equations (PDEs) that are us... View full abstract»

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  • Modified curvature motion for image smoothing and enhancement

    Publication Year: 1998, Page(s):345 - 352
    Cited by:  Papers (68)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (300 KB)

    We formulate a general modified mean curvature based equation for image smoothing and enhancement. The key idea is to consider the image as a graph in some R72, and apply a mean curvature type motion to the graph. We consider some special cases relevant to grey-scale and color images View full abstract»

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  • Adaptive smoothing respecting feature directions

    Publication Year: 1998, Page(s):353 - 358
    Cited by:  Papers (66)  |  Patents (3)
    Request permission for commercial reuse | Click to expandAbstract | PDF file iconPDF (228 KB)

    Accurate extraction of the image feature directions is essential to image smoothing and other image processing tasks. We show that the gradient-based feature direction extraction method can be very erroneous. The gradient is too local, and it cannot detect oscillations. We have developed two new methods: the Hessian method, an approach using higher order differentiations, and the Gabor (1946) meth... View full abstract»

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Aims & Scope

IEEE Transactions on Image Processing focuses on signal-processing aspects of image processing, imaging systems, and image scanning, display, and printing.

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Meet Our Editors

Editor-in-Chief
Scott Acton
University of Virginia
Charlottesville, VA, USA
E-mail: acton@virginia.edu 
Phone: +1 434-982-2003