Lesson plan
Lambda-connectedness
In applied mathematics, lambda-connectedness (or λ-connectedness) deals with partial connectivity for a discrete space. Assume that a function on a discrete space (usually a graph) is given. A degree of connectivity (connectedness) will be defined to measure the connectedness of the space with respect to the function. It was invented to create a new method for image segmentation. The method has expanded to handle other problems related to uncertainty for incomplete information analysis. For a digital image and a certain value of \lambda , two pixels are called \lambda -connected if there is a path linking those two pixels and the connectedness of this path is at least \lambda . \lambda -connectedness is an equivalence relation.
Article summary
In applied mathematics, lambda-connectedness (or λ-connectedness) deals with partial connectivity for a discrete space. Assume that a function on a discrete space (usually a graph) is given. A degree of connectivity (connectedness) will be defined to measure the connectedness of the space with respect to the function. It was invented to create a new method for image segmentation. The method has expanded to handle other problems related to uncertainty for incomplete information analysis. For a digital image and a certain value of \lambda , two pixels are called \lambda -connected if there is a path linking those two pixels and the connectedness of this path is at least \lambda . \lambda -connectedness is an equivalence relation.
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Discussion questions
- Summarise the article in your own words. Which single claim would you verify first, and why?
- Which claim in this article is most likely to be revised as the sources update? How would you check its current status?
- If two sources disagreed about one of these facts, what would you need in order to trust one over the other?
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