Geometric Interpolation of Rigid Body Motions
, 2023 The problem of interpolating a rigid body motion is to find a spatial trajectory between a prescribed initial and terminal pose. Two variants of this interpolation problem are addressed. The first is to find a solution that satisfies initial conditions on the k-1 derivatives of the rigid body twist. This is called the kth-order initial value trajectory
openaire +3 more sources
Symmetric smooth interpolation on triangles [PDF]
, 1974 Rational and polynomial 'smooth' interpolation schemes are derived which interpolate a function and its derivatives along the boundary of a triangle.
Gregory, JA
core +4 more sources
Optimized M-Hermite Interpolation for Geometrically and Physically Consistent Airfoil Reconstruction
MathematicsAccurate airfoil reconstruction is crucial for aerodynamic analysis, geometric modeling, and computational design applications. This study proposes an optimized M-Hermite interpolation framework for high-accuracy airfoil reconstruction and geometric ...
Bihter Das +2 more
doaj +1 more source
A class of quintic Hermite interpolation curve and the free parameters selection
Journal of Advanced Mechanical Design, Systems, and Manufacturing, 2019 The classical C2 quintic Hermite interpolation curve not only needs the positions and derivatives but also needs the second-order derivatives as input. For most applications, one has to estimate the second-order derivatives in advance.
Juncheng LI
doaj +1 more source
On the Geometric Rigidity interpolation estimate in thin bi-Lipschitz domains
Comptes Rendus. Mathématique, 2020 This work is concerned with developing asymptotically sharp geometric rigidity estimates in thin domains. A thin domain $\Omega $ in space is roughly speaking a shell with non-constant thickness around a regular enough two dimensional compact surface. We
Harutyunyan, Davit
doaj +1 more source
Normalized Weighting Schemes for Image Interpolation Algorithms
Applied Sciences, 2023 Image interpolation algorithms pervade many modern image processing and analysis applications. However, when their weighting schemes inefficiently generate very unrealistic estimates, they may negatively affect the performance of the end-user ...
Olivier Rukundo
doaj +1 more source
A survey of partial differential equations in geometric design [PDF]
, 2008 YesComputer aided geometric design is an area where the improvement of surface generation techniques is an everlasting demand since faster and more accurate geometric models are required.
Willis, P. +3 more
core +1 more source
Accounting for Geometric Anisotropy in Sparse Magnetic Data Using a Modified Interpolation Algorithm
Remote SensingThe construction of a high-precision geomagnetic map is a prerequisite for geomagnetic navigation and magnetic target-detection technology. The Kriging interpolation algorithm makes use of the variogram to perform linear unbiased and optimal estimation ...
Haibin Li +11 more
doaj +1 more source
Methods of digital differential analyzers in the implementation of the geometrical problem in CNC metal cutting machine [PDF]
Научно-технический вестник Брянского государственного университета, 2017 The article deals with methods for the implementation of a geometric problem in CNC machines using digital differential analyzers. The advantages and disadvantages of the implementation of interpolation in CNC systems by various methods are considered ...
Erokhin V.V.
doaj +1 more source
Engineering peptides into antibodies—opportunities and strategies for therapeutic innovation
FEBS Letters, EarlyView.Peptides and antibodies occupy complementary therapeutic niches. Peptides recognize difficult targets in a compact format, while antibodies add specificity, long half‐life, and effector functions. This review examines strategies that merge both modalities—peptide grafting into loops, terminal and Fc fusions, and bioconjugation—highlighting how ...
Jinling Wang +2 more
wiley +1 more source