Abstract
This paper extends the notion of interpolation from the quaternionic framework to the octonionic setting. By establishing a well adapted algebraic basis, we examine how replacing the quaternion space with octonions influences the generated curves. The obtained curves in the octonionic space are not only differentiable but also display smoother behavior compared to those generated by corresponding methods in the quaternionic case. Moreover, the convergence is achieved with less iteration.
Keywords
Quaternion
Context (archaeology)
Interpolation (computer graphics)
Algebra over a field
Algebraic number
Space (punctuation)
Mathematics
Differentiable function
Subject Areas
Algebraic and Geometric Analysis
·Applied Mathematics ·Physical Sciences
Advanced Mathematical Theories and Applications
·Statistical and Nonlinear Physics ·Physical Sciences
Mathematics and Applications
·Geometry and Topology ·Physical Sciences
OpenAlex SDG Match
SDGs auto-classified by OpenAlex (score ≥ 0.4 shown).
Reduced inequalities 48%
Loading…