Effective Methods and Algorithms
for Geometric Modeling

Scientific Organization: Todor Kableshkov University of Transport

Funded by the Bulgarian National Science Fund

Start of the project: November 2012
Duration: 2 years

Aims and Scope

The main objective of this project is the development of new efficient methods and algorithms for approximation, smoothing, reconstruction and compression of curves, surfaces, 3D objects and images. We invetsigate some theoretical questions such as existence, uniqueness, error estimates, convergence rates and the optimality of the proposed algorithms. We aslo test the proposed algorithms on various problems.

The efforts of the team are focused on the creation and study of geometric models based on Bezier curves and surfaces, B-splines, harmonic polynomial surfaces, minimal surfaces, blending functions and others. Depending on the task and on the method, the data may vary from a small set of points on the plane or space up to clouds of millions of points. We also utilize various type of information, for example, function integral values on curves and surfaces, to recover the underlying object.

The research results of the group are to be reported to prestigious international forums and to be published in peer-reviewed professional journals and proceedings.

This project aims to bring together the Bulgarian scientists working in the field of computer geometric modeling in a successful and promising research group. Our joint work and meetings will undoubtedly contribute to the professional growth of our team members in the following aspects:

   (i) development and broadening of our knowledge
   (ii) obtaining valuable experience and aquiring new skills
   (iii) expanding our international scientific collaborations.

The international team structure will help to establish sustainable relations with leading research groups abroad, and will contribute to knowledge transfer between universities and research centers.

Other long-term goals include advertizing and promoting the scientific topics of the project, attracting talented students for general scientific and experimental work, and business partners for joint practical projects.

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Last updated: June 5, 2014