A Canonical Form for Planar Farey Sets

Fuzzy sets form A meta-system-theoretic point of view

Farey Sequences and the Planar Euclidean Medial Axis Test Mask

The Euclidean test mask T (r) is the minimum neighbourhood sufficient to detect the Euclidean Medial Axis of any discrete shape whose inner radius does not exceed r. We establish a link between T (r) and the well-known Farey sequences, which allows us to propose two new algorithms. The first one computes T (r) in time O(r) and space O(r). The second one computes for any vector − →v the smallest...

A Canonical Form for Circuit Diagrams

A canonical form for circuit diagrams with a designated start state is presented. The form is based upon nite automata minimization and Shannon's canonical form for boolean expressions.

A Rational Canonical Form Algorithm

Canonical Frames for Planar Object Recognition

We present a canonical frame construction for determining pro-jectively invariant indexing functions for non-algebraic smooth plane curves. These invariants are semi-local rather than global, which promotes tolerance to occlusion. Two applications are demonstrated. Firstly, we report preliminary work on building a model based recognition system for planar objects. We demonstrate that the invari...