4 papers
Exact Deconvolution for Schwartz Kernels: From Polynomial Automorphisms to Recursive Inversion in Tempered Distributions
Alfredo González-Calvin
In this work, we construct an explicit, theoretically rigorous deconvolution method that relies entirely on iterative forward convolutions, thus can be numerically implemented. We…
Directional Mollification for Knot-Preserving Smoothing of Polygonal Chains with Explicit Curvature Bounds
Alfredo González-Calvin, Juan F. Jiménez, Héctor GarcÃa de Marina
We introduce the \textit{directional mollification} operator, which acts on polygonal chains to produce curve approximants that are arbitrarily close to the original c…
Efficient Path Generation with Curvature Guarantees by Mollification
Alfredo González-Calvin, Juan F. Jiménez, Héctor GarcÃa de Marina
Path generation, the process of converting high-level mission specifications, such as sequences of waypoints from a path planner, into smooth, executable paths, is a fundamental ch…
Singularity-Free Guiding Vector Field over Bézier's Curves Applied to Rovers Path Planning and Path Following
Alfredo González-Calvin, LÃa GarcÃa-Pérez, Juan Jiménez
This paper presents a guidance algorithm for solving the problem of following parametric paths, as well as a curvature-varying speed setpoint for land-based car-type wheeled mobile…