Spatial reasoning and uncertainty

What is spatial reasoning?

Is the ability to imagine, visualize and differentiate objects in two or three dimensions.

Make inferences about spatial aspects of the environment.

Why is spatial information imperfect?

Uncertainty is unavoidable.

What are the difference types of imperfection in spatial information?

• Inaccuracy: a lack of correlation between observations or representations and reality.
• Imprecision: it concerns a lack of specificity or a lack of detail in an observation or representation.
• Vagueness: it concerns the existence of borderline cases for a concept

How can we reason about spatial information under uncertainty?

• Quantitative approach: an approach is based on analysis of numerical (interval ratio) data.
• Qualitative approach: an approach is based on analysis of classifications and ordering (nominal and ordinal data)

What qualitative and quantitative approaches to uncertainty are there?

• quantitative
  • Probabilistic methods
  • Statistical methods
• Qualitative
  • Possible worlds
  • Belief and Knowledge
  • Belief revision
  • Fuzzy set theory

What sorts of applications exist for reasoning under uncertainty?

• Uncertain regions
• Uncertain viewsheds

Table Some data quality elements