Author pages are created from data sourced from our academic publisher partnerships and public sources.

Publications Influence

Share This Author

The Geometry of Quadratic Quaternion Polynomials in Euclidean and Non-euclidean Planes

- Zijia Li, J. Schicho, Hans-Peter Schrocker
- Mathematics
- 9 May 2018

We propose a geometric explanation for the observation that generic quadratic polynomials over split quaternions may have up to six different factorizations while generic polynomials over Hamiltonian… Expand

From A to B: New Methods to Interpolate Two Poses

- Hans-Peter Schrocker
- Mathematics
- 14 June 2017

We present two methods to interpolate between two given rigid body displacements. Both are based on linear interpolation in the ambient space of well-known curved point models for the group of rigid… Expand

Davis' Convexity Theorem and Extremal Ellipsoids

- Matthias J. Weber, Hans-Peter Schrocker
- Mathematics
- 7 July 2009

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 criterion on the… Expand

The B\"acklund Transform of Principal Contact Element Nets

- Hans-Peter Schrocker
- Mathematics
- 16 October 2010

We investigate geometric aspects of the the Bäcklund transform of principal contact element nets. A Bäcklund transform exists if and only if it the principal contact element net is of constant… Expand

Singular Fr\'egier Conics in Non-Euclidean Geometry

- Hans-Peter Schrocker
- Mathematics
- 24 May 2016

The hypotenuses of all right triangles inscribed into a fixed conic C with fixed right-angle vertex p are incident with the Frégier point f to p and C. As p varies on the conic, the locus of the… Expand

Contributions to Four-Position Theory with Relative Rotations

- Hans-Peter Schrocker
- Mathematics
- 27 November 2009

We consider the geometry of four spatial displacements, arranged in cyclic order, such that the relative motion between neighbouring displacements is a pure rotation. We compute the locus of points… Expand

Discrete Laplace Cycles of Period Four

- Hans-Peter Schrocker
- Mathematics
- 19 April 2011

We study discrete conjugate nets whose Laplace sequence is of period four. Corresponding points of opposite nets in this cyclic sequence have equal osculating planes in different net directions, that… Expand

A Multiplication Technique for the Factorization of Bivariate Quaternionic Polynomials

- Johanna Lercher, Hans-Peter Schrocker
- Mathematics
- 18 May 2021

We consider bivariate polynomials over the skew field of quaternions, where the indeterminates commute with all coefficients and with each other. We analyze existence of univariate factorizations,… Expand

Space Kinematics and Projective Differential Geometry Over the Ring of Dual Numbers

- Hans-Peter Schrocker, M. Pfurner, Johannes Siegele
- Mathematics
- 25 June 2020

We study an isomorphism between the group of rigid body displacements and the group of dual quaternions modulo the dual number multiplicative group from the viewpoint of differential geometry in a… Expand

Discrete Gliding Along Principal Curves

- Hans-Peter Schrocker
- Mathematics
- 8 April 2010

We consider n-dimensional discrete motions such that any two neighbouring positions correspond in a pure rotation (“rotating motions”). In the Study quadric model of Euclidean displacements these… Expand

...

1

2

...