76 citations · 271 across the 28 of their papers we have counts for
9 papers · 1 filter
Bistable Quad-Nets Composed of Four-Bar Linkages
Gudrun Szewieczek, Daniel Huczala, Martin Pfurner +1
We study a novel type of mechanical structures, composed of spatial four-bar linkages, that are bistable, that is, they allow for two distinct configurations. These structures have…
Optimal interpolation with spatial rational Pythagorean hodograph curves
Hans-Peter Schröcker, Zbyněk Šìr
Using a residuum approach, we provide a complete description of the space of the rational spatial curves of given tangent directions. The rational Pythagorean hodograph curves are…
Rational Framing Motions and Spatial Rational Pythagorean Hodograph Curves
Bahar Kalkan, Daniel F. Scharler, Hans-Peter Schröcker +1
We propose a new method for constructing rational spatial Pythagorean Hodograph (PH) curves based on determining a suitable rational framing motion. While the spherical component o…
The Rational Motion of Minimal Dual Quaternion Degree With Prescribed Trajectory
Zijia Li, Josef Schicho, Hans-Peter Schröcker
We give a constructive proof for the existence of a unique rational motion of minimal degree in the dual quaternion model of Euclidean displacements with a given rational parametri…
The Kinematic Image of 2R Dyads and Exact Synthesis of 5R Linkages
Tudor-Dan Rad, Hans-Peter Schröcker
We characterise the kinematic image of the constraint variety of a 2R dyad as a regular ruled quadric in a 3-space that contains a "null quadrilateral". Three prescribed poses dete…
Spatial Straight Line Linkages by Factorization of Motion Polynomials
Zijia Li, Josef Schicho, Hans-Peter Schröcker
We use the recently introduced factorization of motion polynomials for constructing overconstrained spatial linkages with a straight line trajectory. Unlike previous examples, the…
Minimal area ellipses in the hyperbolic plane
Matthias J. Weber, Hans-Peter Schröcker
We present uniqueness results for enclosing ellipses of minimal area in the hyperbolic plane. Uniqueness can be guaranteed if the minimizers are sought among all ellipses with pres…
Minimal area conics in the elliptic plane
Matthias J. Weber, Hans-Peter Schröcker
We prove some uniqueness results for conics of minimal area that enclose a compact, full-dimensional subset of the elliptic plane. The minimal enclosing conic is unique if its cent…
Davis' Convexity Theorem and Extremal Ellipsoids
Matthias J. Weber, Hans-Peter Schröcker
We give a variety of uniqueness results for minimal ellipsoids circumscribing and maximal ellipsoids inscribed into a convex body. Uniqueness follows from a convexity or concavity…