3 citations · 3 across the 4 of their papers we have counts for
4 papers
Directional Mollification for Knot-Preserving Smoothing of Polygonal Chains with Explicit Curvature Bounds
Alfredo González-Calvin, Juan F. Jiménez, Héctor García 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…
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…
Efficient Path Generation with Curvature Guarantees by Mollification
Alfredo González-Calvin, Juan F. Jiménez, Héctor García 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, Lía García-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…