Construction of Polygonal Color Codes from Hyperbolic Tesselations

Hyperbolic Tesselations and Image Processing I

Topological Construction of 2-Manifold Meshes from Arbitrary Polygonal Data

In this paper we present a simple algorithm to construct 2-manifold meshes from arbitrary collections of polygons. We form our final data structure using two very basic manifold-preserving operations, thus guaranteeing that the result is a valid manifold. Our algorithm is purely topological and does not consider the geometric properties of the underlying shape. The algorithm automatically and c...

Polygonal Designs: Existence and Construction

Polygonal designs form a special class of partially balanced incomplete block designs. We resolve the existence problem for polygonal designs with various parameter sets and present several construction methods with blocks of small sizes.

Construction of digital nets from BCH-codes

We establish a link between the theory of error-correcting codes and the theory of (t, m, s)-nets. This leads to the fundamental problem of net embeddings of linear codes. Our main result is the construction of four infinite families of digital (t, m, s)-nets based on BCH-codes.

Personalized Retrieval from Material Color Databases for 3D Polygonal Models

There has been considerable demand for the development of virtual spaces. When virtual spaces such as virtual cities or virtual offices are created, the material colors of 3D models in these spaces greatly influence the appearance, so designers of virtual spaces must use proper material colors. Material colors of 3D models can be specified with ambient color, diffuse color, specular color, emis...