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User Driven Software Development. Mary Raven Reese Laboratory Neuroscience Research Institute University of California, Santa Barbara. Spatial analyses. Quantitative methods to measure Dispersion Clustering Regularity. Delaunay Triangulation.
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User Driven Software Development Mary Raven Reese Laboratory Neuroscience Research Institute University of California, Santa Barbara
Spatial analyses • Quantitative methods to measure • Dispersion • Clustering • Regularity
Delaunay Triangulation Given a set of data points in 2D, the Delaunay triangulation is defined as a set of lines (the Delaunay segments) connecting each point to its natural neighbors.
Near Neighbors A single point will have some variable number of natural neighbors, one of them being the shortest (or nearest) neighbor.
Voronoi Tessellation Voronoi tessellation describes the division of space by proximity to each point – space in the field closer to a given point than to any of its neighbors defines the Voronoi domain of that point.
Autocorrelation The spatial plot of the position of each point in a field relative to every other point is the autocorrelation.
3D Spatial Analyses • Many populations in the nervous system are spaced in 3D. • These 2D spatial analyses can be extended into 3D
Data visualization for users • 2D visualizations do not translate directly into meaningful 3D visualizations. • Methods to represent 3D spatial analyses • Interactive rotations • Planer projections • False color plots • Additional dimensional histograms
3D perspective 2D projection views Dmin Simulation Degraded Lattice Simulation
Dmin Simulation Degraded Lattice Simulation
Dmin Simulation Degraded Lattice Simulation
Dmin Simulation Degraded Lattice Simulation
Spatial Analysis 3D • Software tools with analyses and visualization options for users. • Enables the users to analyze and interpret neuronal spatial patterning in 3D • These tools can be used to investigate developmental and disease related patterning.
Acknowledgements UCSB: Benjamin Reese – Principal Investigator National Institute of Mental Health National Eye Institute Irene Whitney Dan Lofgreen University of Cambridge: Stephen Eglen