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- Michael Hofer, Boris Odehnal, Helmut Pottmann, Tibor Steiner, Johannes Wallner
- Tenth IEEE International Conference on Computerâ€¦
- 2005

This paper presents a new method for the recognition and reconstruction of surfaces from 3D data. Line element geometry, which generalizes both line geometry and the Laguerre geometry of orientedâ€¦ (More)

We understand and reconstruct special surfaces from 3D data with line geometry methods. Based on estimated surface normals we use approximation techniques in line space to recognize and reconstructâ€¦ (More)

- Martin Peternell, Boris Odehnal
- Computer Aided Geometric Design
- 2008

In the present paper we prove that the polynomial quadratic triangular BÃ©zier surfaces are LN-surfaces. We demonstrate how to reparameterize the surfaces such that the normals obtain linearâ€¦ (More)

- Martin Peternell, Boris Odehnal, Maria Lucia Sampoli
- Computer Aided Geometric Design
- 2008

In the present paper we investigate rational two-parameter families of spheres and their envelope surfaces in Euclidean R3. The four dimensional cyclographic model of the set of spheres in R3 is anâ€¦ (More)

- Martin Peternell, Boris Odehnal
- ISSAC
- 2008

The present paper investigates a class of two-dimensional rational surfaces Ï† in <i>R</i><sup>4</sup> whose tangent planes satisfy the following property: For any three-space <i>E</i> inâ€¦ (More)

- Boris Odehnal
- 2008

Recent research has produced results on subdivision in arbitrary manifolds. These results can be applied to the manifold of lines and thus we can create subdivision schemes especially for ruledâ€¦ (More)

The present paper is devoted to the study of flags in Euclidean threespace. Coordinates of flags are defined and a point model in a projective space is discussed. We study special subsets of theâ€¦ (More)

- Michael Schrott, Boris Odehnal
- 2006

We study the set of circles which intersect a Dupin cyclide in at least two different points orthogonally. Dupin cyclides can be obtained by inverting a cylinder, or cone of revolution, or byâ€¦ (More)

- Boris Odehnal
- 2005

The present paper deals with the computation of the common normals of two tori. We use line geometry in order to describe these common normals as the solution of a system of algebraic equations.â€¦ (More)

- Boris Odehnal
- 2009

In this paper we show that the Gergonne point G of a triangle âˆ† in the Euclidean plane can in fact be seen from a more general point of view, i.e., from the viewpoint of projective geometry. So itâ€¦ (More)