3 citations · 6 across the 5 of their papers we have counts for
5 papers
Formula for Dupin Cyclidic Cube and Miquel Point
Jean Michel Menjanahary, Rimvydas Krasauskas
Dupin cyclides are surfaces conformally equivalent to a torus, a circular cone, or a cylinder. Their patches admit rational bilinear quaternionic Bézier parametrizations and are us…
Classification of Dupin Cyclidic Cubes by Their Singularities
Jean Michel Menjanahary, Eriola Hoxhaj, Rimvydas Krasauskas
Triple orthogonal coordinate systems having coordinate lines as circles or straight lines are considered. Technically, they are represented by trilinear rational quaternionic maps…
Dupin cyclides passing through a fixed circle
Jean Michel Menjanahary, Raimundas Vidunas
We derive algebraic equations on the coefficients of the implicit equation to characterize all Dupin cyclides passing through a fixed circle. The results are applied to solve the b…
Dupin Cyclides as a Subspace of Darboux Cyclides
Jean Michel Menjanahary, Raimundas Vidunas
Dupin cyclides are interesting algebraic surfaces used in geometric design and architecture to join canal surfaces smoothly and to construct model surfaces. Dupin cyclides are spec…
Using Algebraic Geometry to Reconstruct a Darboux Cyclide from a Calibrated Camera Picture
Eriola Hoxhaj, Jean Michel Menjanahary, Josef Schicho
The task of recognizing an algebraic surface from a single apparent contour can be reduced to the recovering of a homogeneous equation in four variables from its discriminant. In t…