Search
Search Results
-
Interpolation of 3D data streams with C2 PH quintic splines
The construction of smooth spatial paths with Pythagorean-hodograph (PH) quintic splines is proposed. To facilitate real-time computations, an...
-
Tangent-point energies and ropelength as Gamma-limits of discrete tangent-point energies on biarc curves
Using interpolation with biarc curves we prove Γ-convergence of discretized tangent-point energies to the continuous tangent-point energies in the
... 
-
Hermite interpolation by planar cubic-like ATPH
This paper deals with the construction of the Algebraic Trigonometric Pythagorean Hodograph (ATPH) cubic-like Hermite interpolant. A characterization...
-
A Positive Fraction Erdős–Szekeres Theorem and Its Applications
A famous theorem of Erdős and Szekeres states that any sequence of n distinct real numbers contains a monotone subsequence of length at least
... 
-
New Developments in Theory, Algorithms, and Applications for Pythagorean–Hodograph Curves
The past decade has witnessed sustained interest in elucidating the basic theory of Pythagorean–hodograph (PH) curves, develo** construction...
-
On the length preserving approximation of plane curves by circular arcs
A technique for the length preserving approximation of plane curves by two circular arcs is analyzed. The conditions under which this technique can...
-
Chain Geometry over Clifford Algebras
In the following chapter we give an introduction to chain geometry. It is not the aim of this work to give a complete treatise of this topic, we just...
-
Odontological Information Along Cone Splines
Developable surfaces are a subset of ruled surfaces, which can be mapped onto a plane without deformation. Due to this property, they have...
-
Euklidische Geometrie
Euklidische Geometrie ist die anschaulichste Geometrie, da sie sich direkt mit den Eigenschaften von Objekten im Anschauungsraum beschäftigt. Neben...
-
Weiterführendes und Anhänge
Zahlreiche Themen konnten in diesem kompakten Lehrbuch nur kurz angerissen werden. Zum Abschluss stellen wir hier einige Hinweise auf weiterführende...
-
On rectifiable curves with L p -bounds on global curvature: self-avoidance, regularity, and minimizing knots
We discuss the analytic properties of curves γ whose global curvature function ρ G [γ] −1 is p -integrable. It turns out that the L ...
-
Introduction
A variety of on-going research is focused on the development and analysis of methods to decrease the time required to progress from the computer...
-
Cone Spline Surfaces and Spatial Arc Splines – a Sphere Geometric Approach
Basic sphere geometric principles are used to analyze approximation schemes of developable surfaces with cone spline surfaces, i.e., G 1 -surfaces...
-
Applications
Elimination methods have diverse applications in many areas of science, engineering, and industry. A full account of such applications could be the...
-
