Quantification and Spatial Relationship

Karsten Rodenacker,

NeuherbergMartina Hausner, München

Anna A. Gorbushina, Oldenburg

Forschungszentrumg

Content Introduction

from perception to image analysis Measurement

objects, groups of objectsinter- 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

Extension Size Shape Structure

Measurement (of one object)

Introduction

Arrangement Relation Neighbourhoo

d

Measurement (of several objects)

Examples of measurements,objects and groups of objects

Spatial relationships

Measurement

Measurement Area Perimeter Extension

Measurement Shape Growth shape Density,

intensity

Measurement Extensions

Length (skeleton)=1621 pxmean thickness=2.27 px

Measurement Neighbourhood

closing onfilaments

Measurement Spatial

RelationshipDelaunay triangulationnearest neighbours

minimum spanning treeconvex hull

Skeleton neighbourhood

Measurement Spatial

RelationshipExample frompathology

Measurement Spatial relationship (objects of different

type)

Distances to the red phaseDouble marked sludge flocks

Measurement Measurement

continuum Measurement

hierarchy

pixel contentlocation properties

object

object

object

object

objectcontent

locationexternal properties

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 overtime (slice # = depth)

Example Substrate coverage (closing)

Wild type bacteria Mutant bacteria

Example Bacterial growth in flow chambers

Conjugativegenetic transfer in bacterialbiofilm

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