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Modeling Surfaces of Arbitrary Topology using Manifolds
, 1995
"... We describe an extension of Bsplines to surfaces of arbitrary topology, including arbitrary boundaries. The technique inherits many of the properties of Bsplines: local control, a compact representation, and guaranteed continuity of arbitrary degree. The surface is specified using a polyhedral con ..."
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Cited by 89 (7 self)
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We describe an extension of Bsplines to surfaces of arbitrary topology, including arbitrary boundaries. The technique inherits many of the properties of Bsplines: local control, a compact representation, and guaranteed continuity of arbitrary degree. The surface is specified using a polyhedral
ABSTRACT Modeling Surfaces of Arbitrary Topology using Manifolds 1
"... We describe an extension of Bsplines to surfaces of arbitrary topology, including arbitrary boundaries. The technique inherits many of the properties of Bsplines: local control, a compact representation, and guaranteed continuity of arbitrary degree. The surface is specified using a polyhedral con ..."
Abstract
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We describe an extension of Bsplines to surfaces of arbitrary topology, including arbitrary boundaries. The technique inherits many of the properties of Bsplines: local control, a compact representation, and guaranteed continuity of arbitrary degree. The surface is specified using a polyhedral
Multiresolution Analysis of Arbitrary Meshes
, 1995
"... In computer graphics and geometric modeling, shapes are often represented by triangular meshes. With the advent of laser scanning systems, meshes of extreme complexity are rapidly becoming commonplace. Such meshes are notoriously expensive to store, transmit, render, and are awkward to edit. Multire ..."
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Cited by 605 (16 self)
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In computer graphics and geometric modeling, shapes are often represented by triangular meshes. With the advent of laser scanning systems, meshes of extreme complexity are rapidly becoming commonplace. Such meshes are notoriously expensive to store, transmit, render, and are awkward to edit
Multiresolution Analysis for Surfaces Of Arbitrary . . .
, 1993
"... Multiresolution analysis provides a useful and efficient tool for representing shape and analyzing features at multiple levels of detail. Although the technique has met with considerable success when applied to univariate functions, images, and more generally to functions defined on lR , to our k ..."
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Cited by 390 (3 self)
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knowledge it has not been extended to functions defined on surfaces of arbitrary genus. In this
Surface Simplification Using Quadric Error Metrics
"... Many applications in computer graphics require complex, highly detailed models. However, the level of detail actually necessary may vary considerably. To control processing time, it is often desirable to use approximations in place of excessively detailed models. We have developed a surface simplifi ..."
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Cited by 1178 (14 self)
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simplification algorithm which can rapidly produce high quality approximations of polygonal models. The algorithm uses iterative contractions of vertex pairs to simplify models and maintains surface error approximations using quadric matrices. By contracting arbitrary vertex pairs (not just edges), our algorithm
Mirror Manifolds and Topological Field Theory
 in Essays on Mirror Manifolds (ed. S.T. Yau), International Press, Hong Kong
, 1992
"... In N = 4 super YangMills theory on a fourmanifold M, one can specify a discrete magnetic flux valued in H2 (M,ZN). This flux is encoded in the AdS/CFT correspondence in terms of a fivedimensional topological field theory with ChernSimons action. A similar topological field theory in seven dimens ..."
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Cited by 385 (14 self)
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In N = 4 super YangMills theory on a fourmanifold M, one can specify a discrete magnetic flux valued in H2 (M,ZN). This flux is encoded in the AdS/CFT correspondence in terms of a fivedimensional topological field theory with ChernSimons action. A similar topological field theory in seven
Measuring ISP Topologies with Rocketfuel
 In Proc. ACM SIGCOMM
, 2002
"... To date, realistic ISP topologies have not been accessible to the research community, leaving work that depends on topology on an uncertain footing. In this paper, we present new Internet mapping techniques that have enabled us to directly measure routerlevel ISP topologies. Our techniques reduce t ..."
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Cited by 838 (30 self)
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To date, realistic ISP topologies have not been accessible to the research community, leaving work that depends on topology on an uncertain footing. In this paper, we present new Internet mapping techniques that have enabled us to directly measure routerlevel ISP topologies. Our techniques reduce
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 668 (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
Discrete DifferentialGeometry Operators for Triangulated 2Manifolds
, 2002
"... This paper provides a unified and consistent set of flexible tools to approximate important geometric attributes, including normal vectors and curvatures on arbitrary triangle meshes. We present a consistent derivation of these first and second order differential properties using averaging Vorono ..."
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Cited by 453 (17 self)
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This paper provides a unified and consistent set of flexible tools to approximate important geometric attributes, including normal vectors and curvatures on arbitrary triangle meshes. We present a consistent derivation of these first and second order differential properties using averaging
Primitives for the manipulation of general subdivisions and the computations of Voronoi diagrams
 ACM Tmns. Graph
, 1985
"... The following problem is discussed: Given n points in the plane (the sites) and an arbitrary query point 4, find the site that is closest to q. This problem can be solved by constructing the Voronoi diagram of the given sites and then locating the query point in one of its regions. Two algorithms ar ..."
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Cited by 543 (11 self)
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to the separation of the geometrical and topological aspects of the problem and to the use of two simple but powerful primitives, a geometric predicate and an operator for manipulating the topology of the diagram. The topology is represented by a new data structure for generalized diagrams, that is, embeddings
Results 1  10
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