Vertex-based features for recognition of projectively deformed polygons

Convex Layers: A New Tool for Recognition of Projectively Deformed Point Sets

Analysis and Synthesis of Facial Expressions by Feature-Points Tracking and Deformable Model

Face expression recognition is useful for designing new interactive devices offering the possibility of new ways for human to interact with computer systems. In this paper we develop a facial expressions analysis and synthesis system. The analysis part of the system is based on the facial features extracted from facial feature points (FFP) in frontal image sequences. Selected facial feature poi...

A multi-layer approach for the analysis of neighbourhood relations of polygons in remotely acquired images

In this letter we present a novel approach to extract topological features of polygonal networks, based on a multi-layer strategy; the motivation for this new development was the need to analyse the small-scale polygonal patterns observed on remotely sensed, high spatial resolution images of the surface of Mars. The major improvement of the algorithm consists of the distribution of polygons by ...

Self-dual polygons and self-dual curves

We study projectively self-dual polygons and curves in the projective plane. Our results provide a partial answer to problem No 1994-17 in the book of Arnold’s problems (2004).

Wiener, Szeged and vertex PI indices of regular tessellations

A lot of research and various techniques have been devoted for finding the topological descriptor Wiener index, but most of them deal with only particular cases. There exist three regular plane tessellations, composed of the same kind of regular polygons namely triangular, square, and hexagonal. Using edge congestion-sum problem, we devise a method to compute the Wiener index and demonstrate th...