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Siegel disks with smooth boundaries
 Acta Math
"... Abstract. We show the existence of angles α ∈ R/Z such that the quadratic polynomial Pα(z) = e2ipiαz+ z2 has a Siegel disk with C∞smooth boundary. This result was first announced by R. PérezMarco in 1993. ..."
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Cited by 10 (2 self)
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Abstract. We show the existence of angles α ∈ R/Z such that the quadratic polynomial Pα(z) = e2ipiαz+ z2 has a Siegel disk with C∞smooth boundary. This result was first announced by R. PérezMarco in 1993.
The Hubbard model with smooth boundary conditions
, 1996
"... We apply recently developed smooth boundary conditions to the quantum Monte Carlo simulation of the twodimensional Hubbard model. At halffilling, where there is no sign problem, we show that the thermodynamic limit is reached more rapidly with smooth rather than with periodic or open boundary condi ..."
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We apply recently developed smooth boundary conditions to the quantum Monte Carlo simulation of the twodimensional Hubbard model. At halffilling, where there is no sign problem, we show that the thermodynamic limit is reached more rapidly with smooth rather than with periodic or open boundary
Strongly Elliptic Systems and Boundary Integral Equations
, 2000
"... Partial differential equations provide mathematical models of many important problems in the physical sciences and engineering. This book treats one class of such equations, concentrating on methods involving the use of surface potentials. It provides the first detailed exposition of the mathematic ..."
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Cited by 501 (0 self)
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of the mathematical theory of boundary integral equations of the first kind on nonsmooth domains. Included are chapters on three specific examples: the Laplace equation, the Helmholtz equation and the equations of linear elasticity. The book is designed to provide an ideal preparation for studying the modern
ASYMPTOTICS OF THE HEAT CONTENT FOR DOMAINS WITH SMOOTH BOUNDARY
"... We give a recursive algorithm for the computation of the complete asymptotic series, for small time, of the amount of heat inside a domain with smooth boundary in a Riemannian manifold; we consider arbitrary smooth initial data, and we impose Dirichlet condition on the boundary. Our coefficients are ..."
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We give a recursive algorithm for the computation of the complete asymptotic series, for small time, of the amount of heat inside a domain with smooth boundary in a Riemannian manifold; we consider arbitrary smooth initial data, and we impose Dirichlet condition on the boundary. Our coefficients
Scalespace and edge detection using anisotropic diffusion
 IEEE Transactions on Pattern Analysis and Machine Intelligence
, 1990
"... AbstractThe scalespace technique introduced by Witkin involves generating coarser resolution images by convolving the original image with a Gaussian kernel. This approach has a major drawback: it is difficult to obtain accurately the locations of the “semantically meaningful ” edges at coarse sca ..."
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Cited by 1887 (1 self)
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scales. In this paper we suggest a new definition of scalespace, and introduce a class of algorithms that realize it using a diffusion process. The diffusion coefficient is chosen to vary spatially in such a way as to encourage intraregion smoothing in preference to interregion smoothing. It is shown
A Multiphase Level Set Framework for Image Segmentation Using the Mumford and Shah Model
 INTERNATIONAL JOURNAL OF COMPUTER VISION
, 2002
"... We propose a new multiphase level set framework for image segmentation using the Mumford and Shah model, for piecewise constant and piecewise smooth optimal approximations. The proposed method is also a generalization of an active contour model without edges based 2phase segmentation, developed by ..."
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Cited by 498 (22 self)
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the problems of vacuum and overlap; it needs only log n level set functions for n phases in the piecewise constant case; it can represent boundaries with complex topologies, including triple junctions; in the piecewise smooth case, only two level set functions formally suffice to represent any partition, based
Rendering of Surfaces from Volume Data
 IEEE COMPUTER GRAPHICS AND APPLICATIONS
, 1988
"... The application of volume rendering techniques to the display of surfaces from sampled scalar functions of three spatial dimensions is explored. Fitting of geometric primitives to the sampled data is not required. Images are formed by directly shading each sample and projecting it onto the picture ..."
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Cited by 875 (12 self)
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boundary surfaces are presented. Independence of shading and classification calculations insures an undistorted visualization of 3D shape. Nonbinary classification operators insure that small or poorly defined features are not IosL The resulting colors and opacities am composited from back to front along
Boundary value problems on a smooth surface with the smooth boundary
 Universität Stuttgart, Preprint
, 2002
"... smooth surfaces with smooth boundary encounter in applications rather often. The purpose of the present paper is to give a simplest possible approach for the investigation of such problems, which will be available not only for mathematicians with solid background in differential geometry and topolo ..."
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Cited by 3 (1 self)
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smooth surfaces with smooth boundary encounter in applications rather often. The purpose of the present paper is to give a simplest possible approach for the investigation of such problems, which will be available not only for mathematicians with solid background in differential geometry
Smooth Boundary Based Optimisation Using Fixed Grid
"... This paper presents a boundary based structural optimisation in the finite element fixed grid environment. The boundary is represented by smooth Bspline curves, as they typically require a relatively small number of control points to describe a curve. Utilising Bspline control points reduces the n ..."
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Cited by 1 (0 self)
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This paper presents a boundary based structural optimisation in the finite element fixed grid environment. The boundary is represented by smooth Bspline curves, as they typically require a relatively small number of control points to describe a curve. Utilising Bspline control points reduces
Results 1  10
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206,358