This article is dedicated to the memory of Professor Dragan Acketa. As a scientist, with a huge research potential and wide research interests, he made essential contributions in many areas of mathematics and computer science. Some of these are matroid and greedoid theory, combinatorial optimization, design theory, theory of algorithms, linear programming, pattern recognition and computer graphics. This is an overview of Professor Acketa’s work on the problems related to matroid theory, design theory and digital geometry.