Results 1  10
of
21,121
Implementation details for ”VennMaster: Areaproportional Euler diagrams for functional GO analysis of microarrays”
"... Intersecting convex polygons The intersection of two convex polygons can be computed in O(n + m) steps using O’Rourke’s algorithm [3]. It is assumed that the polygon borders ∂P and ∂Q with m and n points are oriented counterclockwise. After choosing two directed edges A from P and B from Q the subse ..."
Abstract
 Add to MetaCart
Intersecting convex polygons The intersection of two convex polygons can be computed in O(n + m) steps using O’Rourke’s algorithm [3]. It is assumed that the polygon borders ∂P and ∂Q with m and n points are oriented counterclockwise. After choosing two directed edges A from P and B from Q the subsequent steps involve counterclockwise moves of one of the two edges in order to find all crossings. The algorithm always advances the edge behind to chase the other (waiting) edge (see Figure S1). Define H(A) to be the hyperplane to the left of vector A, and A × B the crossproduct, which is greater than zero if the shortest turn of A into B is counterclockwise (see Table S1). a and b are the heads of the vectors A and B. The cases P ∩ Q = ∅, P ⊂ Q, and Q ⊂ P must be handled separately when the algorithm does not succeed in finding a polygon. For those cases it is necessary only to check whether a single point of P lies in Q and vice versa.
Exact and Approximate Areaproportional Circular Venn and Euler Diagrams
 IEEE Trans Vis Comput Graph
"... Abstract — Scientists conducting microarray and other experiments use circular Venn and Euler diagrams to analyze and illustrate their results. As one solution to this problem, this article introduces a statistical model for fitting areaproportional Venn and Euler diagrams to observed data. The sta ..."
Abstract

Cited by 22 (0 self)
 Add to MetaCart
Abstract — Scientists conducting microarray and other experiments use circular Venn and Euler diagrams to analyze and illustrate their results. As one solution to this problem, this article introduces a statistical model for fitting areaproportional Venn and Euler diagrams to observed data
A General Method for Drawing AreaProportional Euler Diagrams
, 2011
"... Areaproportional Euler diagrams have many applications, for example they are often used for visualizing data in medical and biological domains. There have been a number of recent research efforts to automatically draw Euler diagrams when the areas of the regions are not considered, leading to a ran ..."
Abstract

Cited by 4 (4 self)
 Add to MetaCart
Areaproportional Euler diagrams have many applications, for example they are often used for visualizing data in medical and biological domains. There have been a number of recent research efforts to automatically draw Euler diagrams when the areas of the regions are not considered, leading to a
Generating and drawing areaproportional . . .
, 2007
"... An Euler diagram C = {c1, c2,...,cn} is a collection of n simple closed curves (i.e., Jordan curves) that partition the plane into connected subsets, called regions, each of which is enclosed by a unique combination of curves. Typically, Euler diagrams are used to visualize the distribution of discr ..."
Abstract
 Add to MetaCart
structure and use this model to develop necessaryandsufficient existence conditions. We also use the graphtheoretic model to prove that the EDGP is NPcomplete. In addition, we study the related AreaProportional Euler Diagram Generation Problem (ωEDGP), which involves
Limma: linear models for microarray data
 Bioinformatics and Computational Biology Solutions using R and Bioconductor
, 2005
"... This free opensource software implements academic research by the authors and coworkers. If you use it, please support the project by citing the appropriate journal articles listed in Section 2.1.Contents ..."
Abstract

Cited by 759 (13 self)
 Add to MetaCart
This free opensource software implements academic research by the authors and coworkers. If you use it, please support the project by citing the appropriate journal articles listed in Section 2.1.Contents
Drawing AreaProportional Euler Diagrams Representing Up To Three Sets
 IEEE TRANSACTIONS ON VISUALIZATION AND COMPUTER GRAPHICS
"... Areaproportional Euler diagrams representing three sets are commonly used to visualize the results of medical experiments, business data, and information from other applications where statistical results are best shown using interlinking curves. Currently, there is no tool that will reliably visual ..."
Abstract

Cited by 5 (3 self)
 Add to MetaCart
visualize exact areaproportional diagrams for up to three sets. Limited success, in terms of diagram accuracy, has been achieved for a small number of cases, such as Venn2 and Venn3 where all intersections between the sets must be represented. Euler diagrams do not have to include all intersections
KodairaSpencer theory of gravity and exact results for quantum string amplitudes
 Commun. Math. Phys
, 1994
"... We develop techniques to compute higher loop string amplitudes for twisted N = 2 theories with ĉ = 3 (i.e. the critical case). An important ingredient is the discovery of an anomaly at every genus in decoupling of BRST trivial states, captured to all orders by a master anomaly equation. In a particu ..."
Abstract

Cited by 545 (60 self)
 Add to MetaCart
We develop techniques to compute higher loop string amplitudes for twisted N = 2 theories with ĉ = 3 (i.e. the critical case). An important ingredient is the discovery of an anomaly at every genus in decoupling of BRST trivial states, captured to all orders by a master anomaly equation. In a
Community detection in graphs
, 2009
"... The modern science of networks has brought significant advances to our understanding of complex systems. One of the most relevant features of graphs representing real systems is community structure, or clustering, i. e. the organization of vertices in clusters, with many edges joining vertices of th ..."
Abstract

Cited by 801 (1 self)
 Add to MetaCart
The modern science of networks has brought significant advances to our understanding of complex systems. One of the most relevant features of graphs representing real systems is community structure, or clustering, i. e. the organization of vertices in clusters, with many edges joining vertices of the same cluster and comparatively few edges joining vertices of different clusters. Such
Results 1  10
of
21,121