## Search

Now showing items 1-10 of 19

#### Non-classical 4-dimensional Minkowski planes obtained as brothers of semiclassical 4-dimensional Laguerre planes

(University of Canterbury. Dept. of Mathematics, 1998)

We describe the first non-classical 4-dimensional Minkowski planes and show that they have 6-dimensional automorphism groups. These planes are obtained
by a construction of Schroth [18] from generalized quadrangles ...

#### A family of Minkowski planes over half-ordered fields

(University of Canterbury. Dept. of Mathematics, 1996)

This paper concerns a construction of J. Jakóbowski [7] of Minkowski planes over half-ordered fields. A more group theoretic definition of such planes is given.
Isomorphisms between and automorphisms of these Minkowski ...

#### On the existence of topological ovals in flat projective planes

(University of Canterbury. Dept. of Mathematics, 1996)

We show that every flat projective plane contains topological ovals. This is achieved by completing certain closed partial ovals, the so-called quasi-ovals, to topological ovals.

#### Criteria for two-dimensional circle planes

(University of Canterbury. Dept. of Mathematics, 1994)

We give some easy to use criteria for deciding whether a Möbius plane, Laguerre plane or Minkowski plane, given in some normal form, is 2-dimensional. As
an application of our results we prove that a Laguerre plane or ...

#### Generalized Quadrangles and Projective Axes of Symmetry

(University of Canterbury. Mathematics and Statistics, 2010)

We investigate generalized quadrangles Γ that admit at least two projective axes of symmetry. We show that if there are three such axes incident with a common point x, then x is a translation point of Γ. In case that Γ is ...

#### Expressive MPEG-4 Facial Animation Using Quadratic Deformation Models

(University of Canterbury. Computer Science and Software EngineeringUniversity of Canterbury. Human Interface Technology Laboratory, 2010)

In this paper we propose an approach compliant with the MPEG-4 standard to synthesize and control facial expressions generated using 3D facial models. This is achieved by establishing the MPEG-4 facial animation standard ...

#### Slice and match - how to modify 2-dimensional geometries

(University of Canterbury. Mathematics and Statistics, 2015)

#### Lenz-Barlotti classes of semi-classical ordered projective planes

(University of Canterbury. Dept. of Mathematics, 1997)

This paper concerns a generalization of Moulton planes. We consider these semi-classical projective planes over half-ordered fields and completely determine
their Lenz-Barlotti classes in the case of finite planes and ...

#### A classification of Minkowski planes over half-ordered fields

(University of Canterbury. Dept. of Mathematics, 1999)

This paper concerns a construction of Minkowski planes over half-ordered fields [5] and [20]. Solving various functional equations the Klein-Kroll types of
these Minkowski planes are determined with respect to G- and ...

#### Star gazing in affine planes

(University of Canterbury. Dept. of Mathematics, 1981)

Even in the study of modern geometry it is as well to remember that geometry has its origin in the measurement of the earth, that
is to say surveying, and that figures and diagrams are the very
heart of the subject ...