G. Chirikjian

activity

20072025

most citedEfficient Path Planning in Narrow Passages for Robots with Ellipsoidal Components

52 citations · 135 across the 55 of their papers we have counts for

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math.MG2020★ 22 cited

Closed-Form Minkowski Sums of Convex Bodies with Smooth Positively Curved Boundaries

Sipu Ruan, Gregory S. Chirikjian

This article derives closed-form parametric formulas for the Minkowski sums of convex bodies in d-dimensional Euclidean space with boundaries that are smooth and have all positive…

math.MG2020

Closed-Form Parametric Equation for the Minkowski Sum of $m$ Ellipsoids in $R^{N}$ and Associated Volume Bounds

Gregory S. Chirikjian, Bernard Shiffman

General results on convex bodies are reviewed and used to derive an exact closed-form parametric formula for the Minkowski sum boundary of $m$ arbitrary ellipsoids in $N$ -dimension…

Closed-Form Minkowski Sums of Convex Bodies with Smooth Positively Curved Boundaries

Closed-Form Parametric Equation for the Minkowski Sum of m Ellipsoids in RN and Associated Volume Bounds

Closed-Form Parametric Equation for the Minkowski Sum of $m$ Ellipsoids in $R^{N}$ and Associated Volume Bounds