Modified Rodrigues parameters: an efficient representation of orientation in 3D vision and graphics

DOI10.1007/s10851-017-0765-xzbMath1433.68471OpenAlexW2753940902WikidataQ59613077 ScholiaQ59613077MaRDI QIDQ1799489

Manolis Lourakis, George Terzakis, Djamel Ait-Boudaoud

Publication date: 19 October 2018

Published in: Journal of Mathematical Imaging and Vision (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10851-017-0765-x

zbMATH Keywords

nonlinear optimizationquaternionsmodified Rodrigues parametersstereographic projectionstructure from motionorientation interpolationorientation parameterizationquaternion interpolation

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Machine vision and scene understanding (68T45)

Related Items (2)

Formalization of camera pose estimation algorithm based on Rodrigues formula ⋮ Optimal control of spins by analytical Lie algebraic derivatives

Uses Software

• sparseLM
• SBA
• Robotics
• FivePoint

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Rotation averaging
• Robotics, vision and control. Fundamental algorithms in MATLAB.
• An algebraic approach to curves and surfaces on the sphere and on other quadrics
• Quaternion calculus as a basic tool in computer graphics
• Principal rotation representations of proper \(N\times N\) orthogonal matrices
• The vectorial parameterization of rotation
• Fundamentals of spacecraft attitude determination and control
• Workspace generation and planning singularity-free path for parallel manipulators
• A compact formula for the derivative of a 3-D rotation in exponential coordinates
• SBA
• An Algorithm for Least-Squares Estimation of Nonlinear Parameters
• Higher-Order Cayley Transforms with Applications to Attitude Representations
• Multiple View Geometry in Computer Vision
• Interpolation and Regression of Rotation Matrices
• A method for the solution of certain non-linear problems in least squares
• Computer vision. Algorithms and applications
• Application of Lie algebras to visual servoing

This page was built for publication: Modified Rodrigues parameters: an efficient representation of orientation in 3D vision and graphics