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COMPLEX SPRAYS AND COMPLEX CURVES
"... After defining what is meant by a complex spray X on a complex manifoldM, we introduce the notion of a spray complex curve associated to X. Several equivalent formulations are derived and we give necessary and sufficient conditions for M to admit spray complex curves for X through each point and in ..."
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After defining what is meant by a complex spray X on a complex manifoldM, we introduce the notion of a spray complex curve associated to X. Several equivalent formulations are derived and we give necessary and sufficient conditions for M to admit spray complex curves for X through each point
LIPSCHITZ GEOMETRY OF COMPLEX CURVES
"... Abstract. We describe the Lipschitz geometry of complex curves. For the most part this is well known material, but we give a stronger version even of known results. In particular, we give a quick proof, without any analytic restrictions, that the outer Lipschitz geometry of a germ of a complex plane ..."
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Cited by 1 (1 self)
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Abstract. We describe the Lipschitz geometry of complex curves. For the most part this is well known material, but we give a stronger version even of known results. In particular, we give a quick proof, without any analytic restrictions, that the outer Lipschitz geometry of a germ of a complex
HORIZONTAL COMPLEX CURVES AND HOLOMORPHIC CURVATURE
"... Abstract. Horizontal complex curves are defined on a complex Finsler manifold and are shown to coincide with those complex curves which realise the holomorphic curvature of the given Finsler metric. An existence and uniqueness theorem for horizontal complex curves is sketched and extensions of kno ..."
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Abstract. Horizontal complex curves are defined on a complex Finsler manifold and are shown to coincide with those complex curves which realise the holomorphic curvature of the given Finsler metric. An existence and uniqueness theorem for horizontal complex curves is sketched and exten
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
OBBTree: A hierarchical structure for rapid interference detection
 PROC. ACM SIGGRAPH, 171–180
, 1996
"... We present a data structure and an algorithm for efficient and exact interference detection amongst complex models undergoing rigid motion. The algorithm is applicable to all general polygonal and curved models. It precomputes a hierarchical representation of models using tightfitting oriented bo ..."
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Cited by 845 (53 self)
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We present a data structure and an algorithm for efficient and exact interference detection amongst complex models undergoing rigid motion. The algorithm is applicable to all general polygonal and curved models. It precomputes a hierarchical representation of models using tightfitting oriented
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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, or fairing, to lowpass filtering. We describe a very simple surface signal lowpass filter algorithm that applies to surfaces of arbitrary topology. As opposed to other existing optimizationbased fairing methods, which are computationally more expensive, this is a linear time and space complexity algorithm
Local properties of Jcomplex curves in Lipschitz structures
, 2009
"... We prove the existence of primitive curves and positivity of intersections of Jcomplex curves for Lipschitzcontinuous almost complex structures. These results are deduced from the Strong Comparison Theorem for Jholomorphic maps in Lipschitz structures previously known for J of class C 2. We also ..."
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Cited by 3 (0 self)
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We prove the existence of primitive curves and positivity of intersections of Jcomplex curves for Lipschitzcontinuous almost complex structures. These results are deduced from the Strong Comparison Theorem for Jholomorphic maps in Lipschitz structures previously known for J of class C 2. We also
DEFORMATIONS OF NONCOMPACT COMPLEX CURVES AND MEROMORPHIC ENVELOPES OF SPHERES
, 1998
"... Abstract. The paper is devoted to the properties of the envelopes of meromorphy of neighborhoods of symplectically immersed twospheres in complex Kähler surfaces. The method used to study the envelopes of meromorphy is based on Gromov’s theory of pseudoholomorphic curves. The exposition includes a ..."
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Abstract. The paper is devoted to the properties of the envelopes of meromorphy of neighborhoods of symplectically immersed twospheres in complex Kähler surfaces. The method used to study the envelopes of meromorphy is based on Gromov’s theory of pseudoholomorphic curves. The exposition includes a
Complex Curve Microcatheters for Berry Aneurysm Endovascular Therapy
"... SUMMARY: By using images created with 3D rotational angiography or CT angiography as templates, it is possible to place anatomically correct curves on microcatheters, curves that reproduce the complex 3D vascular anatomy of individual patients. Catheters so curved conform to the anatomy of arteries ..."
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SUMMARY: By using images created with 3D rotational angiography or CT angiography as templates, it is possible to place anatomically correct curves on microcatheters, curves that reproduce the complex 3D vascular anatomy of individual patients. Catheters so curved conform to the anatomy of arteries
Finding all real points of a complex curve
, 2006
"... An algorithm is given to compute the real points of the irreducible onedimensional complex components of the solution sets of systems of polynomials with real coefficients. The algorithm is based on homotopy continuation and the numerical irreducible decomposition. An extended application is made ..."
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Cited by 19 (10 self)
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An algorithm is given to compute the real points of the irreducible onedimensional complex components of the solution sets of systems of polynomials with real coefficients. The algorithm is based on homotopy continuation and the numerical irreducible decomposition. An extended application is made
Results 1  10
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