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250
Mesh Optimization
, 1993
"... We present a method for solving the following problem: Given a set of data points scattered in three dimensions and an initial triangular mesh wH, produce a mesh w, of the same topological type as wH, that fits the data well and has a small number of vertices. Our approach is to minimize an energy f ..."
Abstract

Cited by 392 (8 self)
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We present a method for solving the following problem: Given a set of data points scattered in three dimensions and an initial triangular mesh wH, produce a mesh w, of the same topological type as wH, that fits the data well and has a small number of vertices. Our approach is to minimize an energy
Interpolatory Subdivision on Open Quadrilateral Nets with Arbitrary Topology
 Computer Graphics Forum
, 1996
"... A simple interpolatory subdivision scheme for quadrilateral nets with arbitrary topology is presented which generates C 1 surfaces in the limit. The scheme satisfies important requirements for practical applications in computer graphics and engineering. These requirements include the necessity to ..."
Abstract

Cited by 154 (10 self)
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to preserve the consistency of such adaptively refined nets. Keywords: Curve and surface modeling, Interpolatory subdivision, Adaptive meshrefinement 1 Introduction The problem we address in this paper is the generation of smooth interpolating surfaces of arbitrary topological type in the context
Efficient, Fair Interpolation using CatmullClark Surfaces
, 1993
"... We describe an efficient method for constructing a smooth surface that interpolates the vertices of a mesh of arbitrary topological type. Normal vectors can also be interpolated at an arbitrary subset of the vertices. The method improves on existing interpolation techniques in that it is fast, robus ..."
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Cited by 205 (9 self)
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We describe an efficient method for constructing a smooth surface that interpolates the vertices of a mesh of arbitrary topological type. Normal vectors can also be interpolated at an arbitrary subset of the vertices. The method improves on existing interpolation techniques in that it is fast
VertexBased Delaunay Triangulation Of Meshes Of Arbitrary Topological Type
, 1997
"... Introduction Triangular meshes have become a standard way of representing objects in computer graphics and geometric modeling. Unfortunately, highly complex triangular meshes, easily generated by laser scanning systems, can be both frustrating to edit and expensive to store, transmit, and render. Mu ..."
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Cited by 6 (0 self)
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Introduction Triangular meshes have become a standard way of representing objects in computer graphics and geometric modeling. Unfortunately, highly complex triangular meshes, easily generated by laser scanning systems, can be both frustrating to edit and expensive to store, transmit, and render
Network Structure or Topology
"... There are different types of the topologies like bus, ring, tree, mesh etc. However, we will consider five basic network structurestopology. ..."
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There are different types of the topologies like bus, ring, tree, mesh etc. However, we will consider five basic network structurestopology.
Evaluation of Network Topologies
, 1995
"... The most fundamental question when designing any network is how to connect the network elements together. The network topology defines such crucial parameters as latency, throughput, ease of routing, and fault tolerance. In this paper, we present our evaluation of various network topologies, includi ..."
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Cited by 1 (1 self)
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, including stars, rings, ndimensional meshes, hex meshes, and chordal rings. We derive upper limits on the performance of each; this analytical model is general enough to apply to many dierent types of networks, including Fibre Channel, ATM, and even Ethernet networks. We then compare the different
Topology of Modified Helical Gears and
 Tooth Contact (TCA) Program, NASA CR4224, AVSCOM TR 89C002
, 1989
"... SUMMARY The topology of several types of modified surfaces of helical gears are proposed. The modified surfaces allow absorption of linear or almost linear function of transmission errors caused by gear misalignment, and improvement Co of the contact of gear tooth surfaces. Principles and correspond ..."
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Cited by 3 (2 self)
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SUMMARY The topology of several types of modified surfaces of helical gears are proposed. The modified surfaces allow absorption of linear or almost linear function of transmission errors caused by gear misalignment, and improvement Co of the contact of gear tooth surfaces. Principles
TransforMesh: A TopologyAdaptive MeshBased Approach to Surface Evolution
"... Abstract. Most of the algorithms dealing with image based 3D reconstruction involve the evolution of a surface based on a minimization criterion. The mesh parametrization, while allowing for an accurate surface representation, suffers from the inherent problems of not being able to reliably deal wi ..."
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Cited by 48 (8 self)
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complexity tradeoff. In this paper we explore a new meshbased solution that robustly handles topology changes and removes self intersections, therefore overcoming the traditional limitations of this type of approaches. To demonstrate its efficiency, we present results on 3D surface reconstruction from multiple
Sampling and meshing a surface with guaranteed topology and geometry
 Proc. 20th
, 2004
"... This paper presents an algorithm for sampling and triangulating a smooth surface Σ ⊂ R 3 where the triangulation is homeomorphic to Σ. The only assumption we make is that the input surface representation is amenable to certain types of computations, namely computations of the intersection points of ..."
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Cited by 35 (6 self)
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This paper presents an algorithm for sampling and triangulating a smooth surface Σ ⊂ R 3 where the triangulation is homeomorphic to Σ. The only assumption we make is that the input surface representation is amenable to certain types of computations, namely computations of the intersection points
Results 1  10
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250