BOOK-CHAPTER

Projective Invariants of Smooth Plane Curves: LEWIS2

Abstract

Abstract Invariants can also be computed for planar objects that contain more general plane curves than lines and conics. The subsequent discussion develops a process for forming invariant signatures for a class of smooth plane curves. These signatures provide a projectively invariant shape description from which indexes can be computed. Consequently, the process can be used within the LEWIS invariant indexing architecture for recognizing planar objects with boundaries consisting of higher-degree curves than lines or conics. The actual recognition system discussed in this chapter is called LEWIS2, and although a different system from LEWIS1, it shares many common processes.

Keywords:
Conic section Invariant (physics) Plane curve Planar Pure mathematics Mathematics Plane (geometry) Search engine indexing Geometry Topology (electrical circuits) Computer science Artificial intelligence Combinatorics Computer graphics (images)

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Topics

Image Processing and 3D Reconstruction
Physical Sciences →  Computer Science →  Computer Vision and Pattern Recognition
Image Retrieval and Classification Techniques
Physical Sciences →  Computer Science →  Computer Vision and Pattern Recognition
Geochemistry and Geologic Mapping
Physical Sciences →  Computer Science →  Artificial Intelligence

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