Image separation using wavelets and shearlets
G Kutyniok, WQ Lim - Curves and Surfaces: 7th International Conference …, 2012 - Springer
In this paper, we present an image separation method for separating images into point-and
curvelike parts by employing a combined dictionary consisting of wavelets and compactly …
curvelike parts by employing a combined dictionary consisting of wavelets and compactly …
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, developing construction algorithms, formulating …
Pythagorean–hodograph (PH) curves, developing construction algorithms, formulating …
Geometric characteristics of a class of cubic curves with rational offsets
Planar Bézier curves that have rationally parameterized offsets can be classified into two
classes. The first class is composed of curves that have Pythagorean hodographs (PH) and …
classes. The first class is composed of curves that have Pythagorean hodographs (PH) and …
Hermite interpolation by hypocycloids and epicycloids with rational offsets
We show that all rational hypocycloids and epicycloids are curves with Pythagorean normals
and thus have rational offsets. Then, exploiting the convolution properties and (implicit) …
and thus have rational offsets. Then, exploiting the convolution properties and (implicit) …
Generalized plane offsets and rational parameterizations
D Rochera - Computer Aided Geometric Design, 2023 - Elsevier
In the first part of the paper a planar generalization of offset curves is introduced and some
properties are derived. In particular, it is seen that these curves exhibit good regularity …
properties are derived. In particular, it is seen that these curves exhibit good regularity …
PN surfaces and their convolutions with rational surfaces
Rationally parameterized hypersurfaces can be classified with respect to their RC properties
(Rational Convolutions) with the help of the Gröbner bases theory. This classification …
(Rational Convolutions) with the help of the Gröbner bases theory. This classification …
Parameterizing surfaces with certain special support functions, including offsets of quadrics and rationally supported surfaces
M Aigner, B Jüttler, L Gonzalez-Vega… - Journal of Symbolic …, 2009 - Elsevier
We discuss rational parameterizations of surfaces whose support functions are rational
functions of the coordinates specifying the normal vector and of a given non-degenerate …
functions of the coordinates specifying the normal vector and of a given non-degenerate …
Geometric Hermite interpolation by rational curves of constant width
A constructive characterization of the support function for a rationally parameterized curve of
constant width is given. In addition, a Hermite interpolation problem for such kind of curves is …
constant width is given. In addition, a Hermite interpolation problem for such kind of curves is …
The geometry of the Moineau pump
J Gravesen - Computer aided geometric design, 2008 - Elsevier
The Moineau pump was invented in 1931 by the French engineer René Moineau and
exhibits an intriguing geometry. The original design is based on hypo-and epi-cycloids and …
exhibits an intriguing geometry. The original design is based on hypo-and epi-cycloids and …