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3,346
Implicit Representation of Graphs
 SIAM Journal On Discrete Mathematics
, 1992
"... How to represent a graph in memory is a fundamental data structuring question. In the usual representations of an nvertex graph, the names of the vertices (i.e. integers from 1 to n) betray nothing about the graph itself. Indeed, the names (or labels) on the n vertices are just log n bit place h ..."
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Cited by 89 (0 self)
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How to represent a graph in memory is a fundamental data structuring question. In the usual representations of an nvertex graph, the names of the vertices (i.e. integers from 1 to n) betray nothing about the graph itself. Indeed, the names (or labels) on the n vertices are just log n bit place
Implicit Representation of Discrete Objects
"... This tutorial paper discusses the known representations based on Binary Decision Diagrams (BDDs) for various types of discrete objects: incompletely specified functions, sets, finite state machines, binary and multivalued relations, etc. While presenting the known material, the emphasis is on those ..."
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is on those aspects of implicit representations that are important to achieve speedup in computation. The new material includes implicit representations for dichotomies, partitions, set systems, and information measures. The last type of objects, information measures, constitute a promising approach
Implicit Representation Networks∗
, 2014
"... We discuss a form of Neural Network in which the inputs to the network are also learned as part of the parameter optimisation process. We focus here on the case of unsupervised learning, showing that the reconstruction error for such models is low. The results suggest that the mirrored structure use ..."
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used in standard Neural Network autoencoders is not ideal and that autoencoders should rather focus complexity on the encoding and not the decoding part of the network. We also introduce a novel training algorithm that can be used to train both standard Neural Networks and Implicit Representation
Implicit Representations of Rough Surfaces
 In Proc. of Implicit Surfaces '95. (Eurographics Workshop
, 1995
"... Implicit surface techniques provide useful tools for modeling and rendering smooth surfaces. Deriving implicit formulations for fractal representations extends the scope of implicit surface techniques to rough surfaces. Linear fractals modeled by recurrent iterated function systems may be defined ..."
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Cited by 9 (4 self)
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Implicit surface techniques provide useful tools for modeling and rendering smooth surfaces. Deriving implicit formulations for fractal representations extends the scope of implicit surface techniques to rough surfaces. Linear fractals modeled by recurrent iterated function systems may be defined
Stability and explicitness: In defense of implicit representation
"... Stability of activation, while it may be necessary for information to become available to consciousness, is not sufficient to produce phenomenal experience. We suggest that consciousness involves access to information and that access makes information symbolic. From this perspective, implicit repres ..."
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Stability of activation, while it may be necessary for information to become available to consciousness, is not sufficient to produce phenomenal experience. We suggest that consciousness involves access to information and that access makes information symbolic. From this perspective, implicit
A Note on Implicit Representation of Graphs
, 2001
"... An implicit representation for a given family of graphs is a node labeling scheme of all the nnode graphs of the family by binary strings of length O(log n) such that adjacency between any two nodes can be decided from their labels only. In this note, we design a 3 log nbit labeling scheme for pla ..."
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An implicit representation for a given family of graphs is a node labeling scheme of all the nnode graphs of the family by binary strings of length O(log n) such that adjacency between any two nodes can be decided from their labels only. In this note, we design a 3 log nbit labeling scheme
Implicit Representation of Rational Parametric Surfaces
 J. SYMBOLIC COMPUTATION
, 1992
"... this paper we present algorithms to implicitize rational parametric surfaces with and without base points. One of the strength of the algorithms lies in the fact that we do not use multivariate factorization. The base points blow up to rational curves on the surface and we present techniques to comp ..."
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Cited by 27 (6 self)
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this paper we present algorithms to implicitize rational parametric surfaces with and without base points. One of the strength of the algorithms lies in the fact that we do not use multivariate factorization. The base points blow up to rational curves on the surface and we present techniques
I.: Implicit representation of molecular surfaces
 In Proceedings of the IEEE Pacific Visualization Symposium (PacificVis 2012) (Songdo, Korea
, 2012
"... of the implicit function. Molecular surfaces are an established tool to analyze and to study the evolution and interaction of molecules. One of the most advanced representations of molecular surfaces is called the solvent excluded surface. We present a novel and a simple method for representing th ..."
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Cited by 5 (5 self)
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of the implicit function. Molecular surfaces are an established tool to analyze and to study the evolution and interaction of molecules. One of the most advanced representations of molecular surfaces is called the solvent excluded surface. We present a novel and a simple method for rep
Analyzing and enhancing the robustness of implicit representations
 IN GEOMETRIC MODELLING AND PROCESSING
, 2004
"... We introduce a robustness measure which allows to analyze implicitly defined curves and surfaces with respect to their stability. It can be used to bound the maximal position error, which is introduced by small perturbations of the coefficients of a curve or surface. It is shown that the robustness ..."
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Cited by 4 (4 self)
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We introduce a robustness measure which allows to analyze implicitly defined curves and surfaces with respect to their stability. It can be used to bound the maximal position error, which is introduced by small perturbations of the coefficients of a curve or surface. It is shown that the robustness
Comparing implicit representations of large CTMCs
, 2003
"... this paper, we begin an indepth comparison of implicit CTMC techniques, we present some initial observations and discuss the currentlyknown tradeos between the various techniques. We identify several questions that are worth further investigation ..."
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Cited by 2 (0 self)
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this paper, we begin an indepth comparison of implicit CTMC techniques, we present some initial observations and discuss the currentlyknown tradeos between the various techniques. We identify several questions that are worth further investigation
Results 1  10
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3,346