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Quantification and Spatial Relationship Karsten Rodenacker, Martina Hausner, Anna A. Gorbushina, g Forschungszentrum Neuherberg München Oldenburg Content Introduction from perception to image analysis Measurement objects, groups of objects inter- and intra-relationships Examples Conclusion Introduction Perception – recognition – differentiation – description Quantification Relation of qualitative and quantitative terms Introduction The difficulty NOT to see something Introduction The difficulty to see anything Introduction The ease to see the impossible Introduction Quantitative terms Introduction How to relate qualitative and quantitative terms? Introduction Digitisation Segmentation Introduction Sub sectioning and change of scale Introduction Measurement (of one object) Extension Size Shape Structure Introduction Measurement (of several objects) Arrangement Relation Neighbourhood Measurement Examples of measurements, objects and groups of objects Spatial relationships Measurement Area Perimeter Extension Measurement Shape Growth shape Density, intensity Measurement Extensions Length (skeleton) =1621 px mean thickness =2.27 px Measurement Neighbourhood closing on filaments Measurement Spatial Relationship Delaunay triangulation nearest neighbours minimum spanning tree convex hull Skeleton neighbourhood Measurement Spatial Relationship Example from pathology Measurement Spatial relationship (objects of different type) Double marked sludge flocks Distances to the red phase Measurement Measurement continuum Measurement hierarchy object content location external properties object pixel object content location properties object object Example Bacterial growth in flow chambers Differentiation of wild and mutant bacteria pseudomonas aeruginosa by CLSM imaging Example Wild (PA) and mutant (MW) bacteria Growth over time (slice # = depth) Example Substrate coverage (closing) Wild type bacteria Mutant bacteria Example Bacterial growth in flow chambers Conjugative genetic transfer in bacterial biofilm Example Quantification of colonies of micro colonial fungi from sub aerial biofilms coniosporium sp. and sarcinomyces sp. under soil (b), sand (s) coverage and in air (l) Example Colonies of micro colonial fungi Example Colonies of micro colonial fungi Conclusion Perception, description and measurement of objects and object groups in images Exclusions (e.g. texture, filtering, fractals, etc.) Faith and (apparent) truth