23
Views
0
CrossRef citations to date
0
Altmetric
Articles

Orientation-invariant numerically invariant joint signatures in curve analysis

Pages 13-30 | Received 23 Oct 2016, Accepted 21 Oct 2017, Published online: 15 Feb 2018
 

ABSTRACT

This paper investigates Group-recognition Theorem, Equivalence Problem, and Signature Theorem for Numerically Invariant Joint Signatures. Shape invariants must be independent of the viewpoint in which the object of interest is observed. We first show that the current formulation depends on the curve-orientation and thus is viewpoint-dependent. Next, we present the orientation-invariant version of NIJSs which guarantees the correctness of these theorems. In addition, we introduce a corrected version of the affine NIJS which is also a closer approximation compared with the current formulation.

Notes

1. Throughout this paper ‘camera’ refers to an observer or any piece of equipment used to produce an image for computer vision purposes.

2. For example , , , , , , , and .

Log in via your institution

Log in to Taylor & Francis Online

PDF download + Online access

  • 48 hours access to article PDF & online version
  • Article PDF can be downloaded
  • Article PDF can be printed
USD 61.00 Add to cart

Issue Purchase

  • 30 days online access to complete issue
  • Article PDFs can be downloaded
  • Article PDFs can be printed
USD 513.00 Add to cart

* Local tax will be added as applicable

Related Research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.