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Adaptive Chain Coding for Arbitrary Curves
"... An adaptive chain coding algorithm based on using multiple templates is developed. The algorithm differentially encodes a curve using a directional template whose angle is dynamically scaled to accomodate a variety of curvature properties. A second template is occasionally used for reorientation if ..."
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Cited by 1 (0 self)
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if abrupt changes occur in the properties of the underlying curve. By exploiting the piecewise regularity of most curves, our technique provides substantially more accurate and efficient encodings compared with standard chain coding algorithms. 1. INTRODUCTION The encoding of arbitrary two
Axiomatic quantum field theory in curved spacetime
, 2008
"... The usual formulations of quantum field theory in Minkowski spacetime make crucial use of features—such as Poincare invariance and the existence of a preferred vacuum state—that are very special to Minkowski spacetime. In order to generalize the formulation of quantum field theory to arbitrary globa ..."
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Cited by 689 (18 self)
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The usual formulations of quantum field theory in Minkowski spacetime make crucial use of features—such as Poincare invariance and the existence of a preferred vacuum state—that are very special to Minkowski spacetime. In order to generalize the formulation of quantum field theory to arbitrary
A Signal Processing Approach To Fair Surface Design
, 1995
"... In this paper we describe a new tool for interactive freeform fair surface design. By generalizing classical discrete Fourier analysis to twodimensional discrete surface signals  functions defined on polyhedral surfaces of arbitrary topology , we reduce the problem of surface smoothing, or fai ..."
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Cited by 654 (15 self)
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In this paper we describe a new tool for interactive freeform fair surface design. By generalizing classical discrete Fourier analysis to twodimensional discrete surface signals  functions defined on polyhedral surfaces of arbitrary topology , we reduce the problem of surface smoothing
Homological Algebra of Mirror Symmetry
 in Proceedings of the International Congress of Mathematicians
, 1994
"... Mirror Symmetry was discovered several years ago in string theory as a duality between families of 3dimensional CalabiYau manifolds (more precisely, complex algebraic manifolds possessing holomorphic volume elements without zeroes). The name comes from the symmetry among Hodge numbers. For dual Ca ..."
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Cited by 523 (3 self)
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on such a manifold and Taylor coefficients of periods of Hodge structures considered as functions on the moduli space of complex structures on a mirror manifold. Recently it has been realized that one can make predictions for numbers of curves of positive genera and also on CalabiYau manifolds of arbitrary
Background: BrökerCharlesLauter algorithm Generalizing BCL to arbitrary curves
, 2010
"... Let E and E ′ be elliptic curves over F. An isogeny φ: E → E ′ is an algebraic morphism f1(x, y) φ(x, y) = g1(x, y) , f2(x, y) g2(x, y) satisfying φ(∞) = ∞. Equivalently, an isogeny is an algebraic morphism which is a group homomorphism. The degree of an isogeny is its degree as an algebraic map. T ..."
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Let E and E ′ be elliptic curves over F. An isogeny φ: E → E ′ is an algebraic morphism f1(x, y) φ(x, y) = g1(x, y) , f2(x, y) g2(x, y) satisfying φ(∞) = ∞. Equivalently, an isogeny is an algebraic morphism which is a group homomorphism. The degree of an isogeny is its degree as an algebraic map
The Encoding and Fourier Descriptors of Arbitrary Curves in 3Dimensional Space
, 2000
"... v CHAPTERS 1 ..."
Fitting Parameterized ThreeDimensional Models to Images
 IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE
, 1991
"... Modelbased recognition and motion tracking depends upon the ability to solve for projection and model parameters that will best fit a 3D model to matching 2D image features. This paper extends current methods of parameter solving to handle objects with arbitrary curved surfaces and with any nu ..."
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Cited by 361 (8 self)
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Modelbased recognition and motion tracking depends upon the ability to solve for projection and model parameters that will best fit a 3D model to matching 2D image features. This paper extends current methods of parameter solving to handle objects with arbitrary curved surfaces and with any
Towards an enumerative geometry of the moduli space of curves
 in Arithmetic and Geometry
, 1983
"... The goal of this paper is to formulate and to begin an exploration of the enumerative geometry of the set of all curves of arbitrary genus g. By this we mean setting up a Chow ring for the moduli space M g of curves of genus g and its compactification.M 9, defining what seem to be ..."
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Cited by 331 (0 self)
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The goal of this paper is to formulate and to begin an exploration of the enumerative geometry of the set of all curves of arbitrary genus g. By this we mean setting up a Chow ring for the moduli space M g of curves of genus g and its compactification.M 9, defining what seem to be
CE: Basic principles of ROC analysis
 Seminars in Nuclear Medicine
, 1978
"... The l imitations of diagnostic "accuracy " as a measure of decision performance require introduction of the concepts of the "sensit iv ity " and "specif ic i ty " of a diagnostic test, These measures and the related indices, "true positive fraction " and &quo ..."
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Cited by 376 (0 self)
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; and "false positive fract ion, " are more meaningful than "'accuracy, " yet do not provide a unique description of diagnostic performance because they depend on the arbitrary selection of a decision threshold. The receiver operating characteristic (ROC) curve is shown to be a
Results 1  10
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