In this report, I present a complete image-based rendering system. This includes the derivation of a mapping function from first principles, an algorithm for determining the visibility of these mapped points in the resulting image, and a method for reconstructing a continuous image from these mapped points. I refer to this type of mapping function as image warping, because it processes the elem...

The mapping class group of a Heegaard splitting is the group of connected components in the set of automorphisms of the ambient manifold that map the Heegaard surface onto itself. For the genus three Heegaard splitting of the 3-torus, we find an eight element generating set for this group. Six of these generators induce generating elements of the mapping class group of the 3torus and the remain...

In this paper we prove an alternative existence theorem for variational inequalities defined on an unbounded set in a Hilbert space. This theorem is based on the concept of exceptional family of elements (EFE) for a mapping and on the concept of (0,k)-epi mapping which is similar to the topological degree. We show that when a k-set field is without (EFE) then the variational inequality has a so...

We extend the definition of algebraic entropy to endomorphisms of affine varieties. We calculate algebraic entropy of the action of elements of mapping class groups on various character varieties, and show that it is equal to a quantity we call the spectral radius, a generalization of the dilatation of a Pseudo-Anosov mapping class. Our calculations are compatible with all known calculations of...

Mediating heterogeneous data sources heavily relies on explicit domain knowledge expressed, for example, as ontologies and mapping rules. We discuss the use of logic representations for mapping schema elements onto concepts expressed in a simplified ontology for cultural assets. Starting with a logic representation of the ontology, criteria for a rule-based schema matching are exemplified. Spec...

Concept mapping is a valuable technique for education evaluation. This paper describes a system which supports teachers in creating concept mapping tasks which are intended to capture the student’s understanding of the ontology of a small domain. A novel feature of our work is that the system verifies that the student intended the map elements that will be used to infer student understanding an...

Translating a program written in one programming language to another can be useful for software development tasks that need functionality implementations in different languages. Although past studies have considered this problem, they may be either specific to the language grammars, or specific to certain kinds of code elements (e.g., tokens, phrases, API uses). This paper proposes a new approa...