In this study, a stitching method based on dual quaternion is proposed. The application of a dual quaternion in sub-aperture stitching interferometry is analyzed in detail, and a calculation method for sub-aperture stitching based on a dual quaternion is deduced. The experimental results demonstrate the accuracy of the stitching method proposed in this study (residuals of overlapping area approximately 0.22 nm RMS). Finally, the residual differences of 0.79 nm RMS between the figure errors are acquired with a stitching by parts algorithm based on the dual quaternion and long trace profiler (FSP at HEPS). The high-accuracy and high-efficiency stitching method proposed in this study will expand its application in the metrology and manufacture of long cylindrical mirrors.
Download full-text PDF |
Source |
|---|---|
| http://dx.doi.org/10.1364/OE.455391 | DOI Listing |
Publication Analysis
Top Keywords
Similar Publications
Constructing Kinematic Confidence Regions With Double Quaternions.
Proc MSR RomanSy 2024 (2024)
May 2024
Department of Radiation Oncology, Indiana University, Indianapolis, Indiana.
A spatial displacement as an element of can be approximated by a 4D rotation, which is an element of . In this way, the problem of constructing confidence regions of uncertain spatial displacements may be studied as that of constructing confidence ellipsoids in . In this light, a double-quaternion formulation of kinematic confidence regions is presented that approximately preserve the geometry of .
View Article and Find Full Text PDFOn the Computation of Mean and Variance of Spatial Displacements.
J Mech Robot
January 2024
Department of Radiation Oncology, Indiana University, Indianapolis, IN 46202.
This paper studies the problem of computing an average (or mean) displacement from a set of given spatial displacements using three types of parametric representations: Euler angles and translation vectors, unit quaternions and translation vectors, and dual quaternions. It is shown that the use of Euclidean norm in the space of unit quaternions reduces the problem to that of computing the mean for each quaternion component separately and independently. While the resulting algorithm is simple, a change in the sign of a unit quaternion could lead to an incorrect result.
View Article and Find Full Text PDFA High-Precision Hand-Eye Coordination Localization Method under Convex Relaxation Optimization.
Sensors (Basel)
June 2024
School of Electronic Information Engineering, Xi'an Technological University, Xi'an 710021, China.
Traditional switching operations require on-site work, and the high voltage generated by arc discharges can pose a risk of injury to the operator. Therefore, a combination of visual servo and robot control is used to localize the switching operation and construct hand-eye calibration equations. The solution to the hand-eye calibration equations is coupled with the rotation matrix and translation vectors, and it depends on the initial value determination.
View Article and Find Full Text PDFNon-rigid scene reconstruction of deformable soft tissue with monocular endoscopy in minimally invasive surgery.
Int J Comput Assist Radiol Surg
December 2024
School of Mechanical Engineering, Shanghai Jiao Tong University, No. 800, Road Dongchuan, Shanghai, 200240, China.
Purpose: The utilization of image-guided surgery has demonstrated its ability to improve the precision and safety of minimally invasive surgery (MIS). Non-rigid scene reconstruction is a challenge in image-guided system duo to uniform texture, smoke, and instrument occlusion, etc. METHODS: In this paper, we introduced an algorithm for 3D reconstruction aimed at non-rigid surgery scenes.
View Article and Find Full Text PDFDual-3DMAD: Mixed Transformer Based Semantic Segmentation and Triplet Pre-Processing for Early Multi-Class Alzheimer's Diagnosis.
IEEE Trans Neural Syst Rehabil Eng
February 2024
Alzheimer's Disease (AD) is a widespread, chronic, irreversible, and degenerative condition, and its early detection during the prodromal stage is of utmost importance. Typically, AD studies rely on single data modalities, such as MRI or PET, for making predictions. Nevertheless, combining metabolic and structural data can offer a comprehensive perspective on AD staging analysis.
View Article and Find Full Text PDFWant AI Summaries of new PubMed Abstracts delivered to your In-box?
Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!