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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