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My PhD project is supervised by Ryszard Kozera.
The project focuses on different aspects of shape
reconstruction from single and mutilpe image(s). It inculdes
deriving novel algorithms (e.g. based on
finite-difference methods) for explicitly solving an unknown shape.
The shape from shading problem consists in extracting an unknown
surface from its image shading. Recently in an effort to obtain more
rigorous uniqueness results combined with the derivation of an explicit
formula for the shape recovery, a Photometric Stereo technique has been
developed. The purpose of these project is to investigate the usage of the
numerical algorithms for implementing the theoretical results of
Photometric Stereo technique and single image recovery to reconstruct the
unknown surface. The aim of the project is to develop, implement and
evaluate fast, provably convergent and stable algorithms applicable for
the shape reconstruction problem based on a single (multiple) image input.
The problem has significant impact both
theoretically and practically to researchers, and computer
software developers. Any successful research in shape from shading
area has potential applications in artificial intelligence,
medical and satellite image processing and analysis as well as in
improving our understanding of human visual system.
Various methods and
techniques in implementing mathematical theoretical models
describing the real processes through appropriate numerical
methods into the computer systems, combined with a different
programming techniques and system development strategies are used
to implement theoretical results into a computer based environment.
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Andrzej
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