Numerical recipes in C: the art of scientific computing
Numerical recipes in C: the art of scientific computing
Term-weighting approaches in automatic text retrieval
Information Processing and Management: an International Journal
Laying out and visualizing large trees using a hyperbolic space
UIST '94 Proceedings of the 7th annual ACM symposium on User interface software and technology
A focus+context technique based on hyperbolic geometry for visualizing large hierarchies
CHI '95 Proceedings of the SIGCHI Conference on Human Factors in Computing Systems
An initial examination of ease of use for 2D and 3D information visualizations of Web content
International Journal of Human-Computer Studies - Empirical evaluation of information visualizations
Visual information foraging in a focus + context visualization
Proceedings of the SIGCHI Conference on Human Factors in Computing Systems
Multidimensional Scaling by Deterministic Annealing
EMMCVPR '97 Proceedings of the First International Workshop on Energy Minimization Methods in Computer Vision and Pattern Recognition
Drawing Large Graphs with H3Viewer and Site Manager
GD '98 Proceedings of the 6th International Symposium on Graph Drawing
H3: laying out large directed graphs in 3D hyperbolic space
INFOVIS '97 Proceedings of the 1997 IEEE Symposium on Information Visualization (InfoVis '97)
Interactive Visualization and Navigation in Large Data Collections using the Hyperbolic Space
ICDM '03 Proceedings of the Third IEEE International Conference on Data Mining
Visualizing changes in the structure of data for exploratory feature selection
Proceedings of the ninth ACM SIGKDD international conference on Knowledge discovery and data mining
Information Systems - Knowledge discovery and data mining (KDD 2002)
Three-Dimensional Face Recognition
International Journal of Computer Vision
Analysis of Two-Dimensional Non-Rigid Shapes
International Journal of Computer Vision
Topology-Invariant Similarity of Nonrigid Shapes
International Journal of Computer Vision
International Journal of Computer Vision
Multimedia Tools and Applications
Multimedia news exploration and retrieval by integrating keywords, relations and visual features
Multimedia Tools and Applications
Robust expression-invariant face recognition from partially missing data
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part III
Isometric embedding of facial surfaces into S3
Scale-Space'05 Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision
Journal of Multivariate Analysis
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We propose a novel projection based visualization method for high-dimensional datasets by combining concepts from MDS and the geometry of the hyperbolic spaces. Our approach Hyperbolic Multi-Dimensional Scaling (H-MDS) extends earlier work [7] using hyperbolic spaces for visualization of tree structures data ( "hyperbolic tree browser" ).By borrowing concepts from multi-dimensional scaling we map proximity data directly into the 2-dimensional hyperbolic space (H2). This removes the restriction to "quasihierarchical", graph-based data -- limiting previous work. Since a suitable distance function can convert all kinds of data to proximity (or distance-based) data this type of data can be considered the most general.We used the circular Poincaré model of the H2 which allows effective human-computer interaction: by moving the "focus" via mouse the user can navigate in the data without loosing the "context". In H2 the "fish-eye" behavior originates not simply by a non-linear view transformation but rather by extraordinary, non-Euclidean properties of the H2. Especially, the exponential growth of length and area of the underlying space makes the H2 a prime target for mapping hierarchical and (now also) high-dimensional data.We present several high-dimensional mapping examples including synthetic and real world data and a successful application for unstructured text. By analyzing and integrating multiple film critiques from news:rec.art.movies.reviews and the internet movie database, each movie becomes placed within the H2. Here the idea is, that related films share more words in their reviews than unrelated. Their semantic proximity leads to a closer arrangement. The result is a kind of high-level content structured display allowing the user to explore the "space of movies".