Tamás Tóth

Approximating non-metrical Minkowski distances in 2D

In this paper, we discuss a possible discrete approximation of non-metrical Minkowski distances. The existing approaches for Minkowski metrics considering distance functions based on local neighborhoods are not suitable for this task in their present form. We can overcome this difficulty with considering the minimum of such distance functions. In this way, we can take full advantage of the former theoretical and applied results. We consider several possibilities to measure the error of approximation and propose corresponding distance functions for optimal approximation. A fast chamfering algorithm is also provided to generate the approximate distance values for applications in digital domains.

Retraction Note To: Effects of marcrosynoptic weather types on development of thermal excess in suburban areas of Debrecen

This article has been withdrawn - upon request by authors - by Akademiai Kiado due to suspected plagiarism.

Relationships between macrosynoptic weather types and development of the thermal excess in suburban areas in Debrecen, Hungary

Impacts of macrosynoptic weather patterns on the development of the thermal excess in suburban areas of Debrecen are examined in this paper. Temperature datasets have been recorded at two heights by three automatic weather stations mounted in Debrecen (east Hungary) and a small settlement in its vicinity. An additional automatic weather station is used as a reference station outside Debrecen. Urban heat island (UHI) intensities have been calculated from the raw datasets. Impacts of synoptic conditions have been analyzed on the base of Peczely’s macrosynoptic types. It has been found that anticyclone types are more favorable from the aspect of UHI development, while cyclone types, especially the passage of warm fronts can effectively hinder the formation of strong heat islands in Debrecen.

Neighborhood sequences and their applications in the digital image processing

Digital distance functions and metrics based on neighborhood relations play important role in many applications in digital image processing. In this paper we summarize our results about the investigation of structural properties of neighborhood sequences and their possible applications in medial axis transformation.