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Log smooth deformation theory
 Tohoku Math. J
, 1996
"... This paper gives a foundation of log smooth deformation theory. We study the infinitesimal liftings of log smooth morphisms and show that the log smooth deformation functor has a representable hull. This deformation theory gives, for example, the following two types of deformations: (1) relative def ..."
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Cited by 40 (4 self)
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This paper gives a foundation of log smooth deformation theory. We study the infinitesimal liftings of log smooth morphisms and show that the log smooth deformation functor has a representable hull. This deformation theory gives, for example, the following two types of deformations: (1) relative
Log Smooth Deformation and Moduli of Log Smooth Curves
, 1996
"... The aim of this paper is to define a reasonable moduli theory of log smooth curves which recovers the classical DeligneKnudsenMumford moduli of pointed stable curves. Introduction Moduli theory in the framework of log geometry aims to construct good and natural compactifications of moduli of a ..."
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Cited by 27 (1 self)
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The aim of this paper is to define a reasonable moduli theory of log smooth curves which recovers the classical DeligneKnudsenMumford moduli of pointed stable curves. Introduction Moduli theory in the framework of log geometry aims to construct good and natural compactifications of moduli
Nonrigid registration using freeform deformations: Application to breast MR images
 IEEE Transactions on Medical Imaging
, 1999
"... Abstract — In this paper we present a new approach for the nonrigid registration of contrastenhanced breast MRI. A hierarchical transformation model of the motion of the breast has been developed. The global motion of the breast is modeled by an affine transformation while the local breast motion i ..."
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Cited by 685 (36 self)
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is described by a freeform deformation (FFD) based on Bsplines. Normalized mutual information is used as a voxelbased similarity measure which is insensitive to intensity changes as a result of the contrast enhancement. Registration is achieved by minimizing a cost function, which represents a combination
PCASIFT: A more distinctive representation for local image descriptors
, 2004
"... Stable local feature detection and representation is a fundamental component of many image registration and object recognition algorithms. Mikolajczyk and Schmid [14] recently evaluated a variety of approaches and identified the SIFT [11] algorithm as being the most resistant to common image deforma ..."
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Cited by 572 (6 self)
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deformations. This paper examines (and improves upon) the local image descriptor used by SIFT. Like SIFT, our descriptors encode the salient aspects of the image gradient in the feature point's neighborhood; however, instead of using SIFT's smoothed weighted histograms, we apply Principal Components
Estimating smooth deformation models of substance and noise
"... By representing image prototypes, or “substance”, by linear subspaces spanned by deformation fields derived from lowfrequecy wavelets, impressive invariance to distortion can be built into generative probability models. The prototypes representing substance and the distribution over wavelet coeffic ..."
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coefficients can be estimated using EM, since exact inference is tractable in this model. While this approach works for noisefree data, it is prone to errors for noisy data, where the noise is deformed and then confused with the prototypes representing substance. We describe a generative model for smooth
Determining Optical Flow
 ARTIFICIAL INTELLIGENCE
, 1981
"... Optical flow cannot be computed locally, since only one independent measurement is available from the image sequence at a point, while the flow velocity has two components. A second constraint is needed. A method for finding the optical flow pattern is presented which assumes that the apparent veloc ..."
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Cited by 2379 (9 self)
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velocity of the brightness pattern varies smoothly almost everywhere in the image. An iterative implementation is shown which successfully computes the optical flow for a number of synthetic image sequences. The algorithm is robust in that it can handle image sequences that are quantized rather coarsely
Smooth deformations of piecewise expanding unimodal maps, arxiv.org preprint
, 2007
"... Abstract. In the space of C k piecewise expanding unimodal maps, k ≥ 2, we characterize the C 2 smooth families of maps where the topological dynamics does not change (the “smooth deformations”) as the families tangent to a continuous distribution of codimensionone subspaces (the “horizontal” direc ..."
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Cited by 15 (10 self)
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Abstract. In the space of C k piecewise expanding unimodal maps, k ≥ 2, we characterize the C 2 smooth families of maps where the topological dynamics does not change (the “smooth deformations”) as the families tangent to a continuous distribution of codimensionone subspaces (the “horizontal
Superconformal field theory on threebranes at a CalabiYau singularity
 Nucl. Phys. B
, 1998
"... Just as parallel threebranes on a smooth manifold are related to string theory on AdS5 × S 5, parallel threebranes near a conical singularity are related to string theory on AdS5 × X5, for a suitable X5. For the example of the conifold singularity, for which X5 = (SU(2) × SU(2))/U(1), we argue that ..."
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Cited by 690 (37 self)
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Just as parallel threebranes on a smooth manifold are related to string theory on AdS5 × S 5, parallel threebranes near a conical singularity are related to string theory on AdS5 × X5, for a suitable X5. For the example of the conifold singularity, for which X5 = (SU(2) × SU(2))/U(1), we argue
Implicit Fairing of Irregular Meshes using Diffusion and Curvature Flow
, 1999
"... In this paper, we develop methods to rapidly remove rough features from irregularly triangulated data intended to portray a smooth surface. The main task is to remove undesirable noise and uneven edges while retaining desirable geometric features. The problem arises mainly when creating highfidelit ..."
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Cited by 553 (24 self)
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In this paper, we develop methods to rapidly remove rough features from irregularly triangulated data intended to portray a smooth surface. The main task is to remove undesirable noise and uneven edges while retaining desirable geometric features. The problem arises mainly when creating high
Results 1  10
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179,862