Graphic statics is undergoing a renaissance, with computerized visual representation becoming both easier and more spectacular as time passes. While methods of the past are revived, little emphasis has been placed on studying mathematics behind these methods. Due to considerable advances our mathematical understanding since birth graphic statics, we can learn lot by examining old from modern vi...

In this paper we provide two recognition algorithms for the class of signed-graphic matroids along with necessary and sufficient conditions for a matroid to be signed-graphic. Specifically, we provide a polynomial-time algorithm which determines whether a given binary matroid is signed-graphic and an algorithm which determines whether a general matroid given by an independece oracle is binary s...

Information graphics (line graphs, bar charts, etc.) are common in popular media and periodicals. They are usually included in such documents to convey a message. This dissertation discusses the processing of one kind of information graphic, namely a line graph. It presents a learned model for segmenting a line graph into visually distinguishable trends and a Bayesian network inference model th...

Our aim was to find a graphic numeric solution method for higher-order differential equations and differential equation systems. To understand this method the basic mathematical knowledge taught in the secondary school must be enough, we have to complete it with geometric meaning of differential quotient and generalization of knowledge about two-dimensional vector space. We considered it import...

Computer Aided Architectural Design systems offer a broad scope of drawing and modeling techniques for the designer. Nevertheless, they offer limited support for the early phases of the design process. One reason is that the level of abstraction is too low: the user can define walls and such in great precision, but no support is offered to define global or structural characteristics of the desi...

One of the complex documents in the real world is city maps. In these kinds of maps, text labels overlap by graphics with having a variety of fonts and styles in different orientations. Usually, text and graphic colour is not predefined due to various map publishers. In most city maps, text and graphic lines form a single connected component. Moreover, the common regions of text and graphic lin...