4 citations · 8 across the 13 of their papers we have counts for
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Partial Fraction Decomposition for Rational Pythagorean Hodograph Curves
Hans-Peter Schröcker, Zbyněk Šír
All rational parametric curves with prescribed polynomial tangent direction form a vector space. Via tangent directions with rational norm, this includes the important case of rati…
From A to B: New Methods to Interpolate Two Poses
Hans-Peter Schröcker
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…
Singular Frégier Conics in Non-Euclidean Geometry
Hans-Peter Schröcker
The hypotenuses of all right triangles inscribed into a fixed conic with fixed right-angle vertex are incident with the Frégier point to and . As varies on t…
Contributions to Four-Position Theory with Relative Rotations
Hans-Peter Schröcker
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 th…
Orthologic Tetrahedra with Intersecting Edges
Hans-Peter Schröcker
Two tetrahedra are called orthologic if the lines through vertices of one and perpendicular to corresponding faces of the other are intersecting. This is equivalent to the orthogon…