NDLI: A new complex basis for implicit polynomial curves and its simple exploitation for pose estimation and invariant recognition

Content Provider	IEEE Xplore Digital Library
Author	Tarel, J.-P. Cooper, D.B.
Copyright Year	1998
Description	Author affiliation: Inst. Nat. de Recherche en Inf. et Autom., Le Chesnay, France (Tarel, J.-P.)
Abstract	New representations are developed for 2D IP (implicit polynomial) curves of arbitrary degree. These representations permit shape recognition and pose estimation with essentially single, rather than iterative, computation, and extract and use all the information in the polynomial coefficients. This is accomplished by decomposing polynomial coefficient space into a union of orthogonal subspaces for which rotations within two dimensional subspaces or identity transformations within one dimensional subspaces result from rotations in x, y measured-data space. These rotations in the two dimensional coefficient subspaces are related in simple ways to each other and to rotation in the x, y data space. By recasting this approach in terms of complex polynomials, i.e., z=x+iy and complex coefficients, further simplification occurs for rotations and some simplification occurs for translation.
Sponsorship	IEEE Comput. Soc. Tech. Committee on Pattern Anal. & Machine Intelligence
Starting Page	111
Ending Page	117
File Size	144182
Page Count	7
File Format	PDF
ISBN	0818684976
ISSN	10636919
DOI	10.1109/CVPR.1998.698596
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1998-06-25
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Polynomials Extraterrestrial measurements Electrical capacitance tomography Geometry Rotation measurement Computer vision Spline Sampling methods Shape Iterative methods
Content Type	Text
Resource Type	Article
Subject	Computer Vision and Pattern Recognition Software

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

The complex representation of algebraic curves and its simple exploitation for pose estimation and invariant recognition

A new complex basis for implicit polynomial curves and its simple exploitation for pose estimation and invariant recognition (1998).

A new complex basis for implicit polynomial curves and its simple exploitation for pose estimation and invariant recognition (1998)

The Complex Representation of Algebraic Curves and its Simple Exploitation for Pose Estimation and Invariant Recognition (2000)

An Adaptive and Stable Method for Fitting Implicit Polynomial Curves and Surfaces

Scale-invariant heat kernel signatures for non-rigid shape recognition

Relaxing the 3L algorithm for an accurate implicit polynomial fitting

Recognition of 3D Objects Based on Implicit Polynomials

Using B-spline curves for hand recognition

A new complex basis for implicit polynomial curves and its simple exploitation for pose estimation and invariant recognition

Similar Documents

The complex representation of algebraic curves and its simple exploitation for pose estimation and invariant recognition

A new complex basis for implicit polynomial curves and its simple exploitation for pose estimation and invariant recognition (1998).

A new complex basis for implicit polynomial curves and its simple exploitation for pose estimation and invariant recognition (1998)

The Complex Representation of Algebraic Curves and its Simple Exploitation for Pose Estimation and Invariant Recognition (2000)

An Adaptive and Stable Method for Fitting Implicit Polynomial Curves and Surfaces

Scale-invariant heat kernel signatures for non-rigid shape recognition

Relaxing the 3L algorithm for an accurate implicit polynomial fitting

Recognition of 3D Objects Based on Implicit Polynomials

Using B-spline curves for hand recognition

A new complex basis for implicit polynomial curves and its simple exploitation for pose estimation and invariant recognition