Arjeh M. Cohen

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8ranked-venue papers

3as first author

0since 2021 · last 2006

0000-0002-9986-4292ORCID · corroborated

Domains — the database's venue-derived domains; a paper can count in several

Theory of computation · 6 · 3 first-authorArtificial intelligence and machine learning · 1 · 1 first-authorGraphics, computer vision, multimedia, augmented reality and games · 1Human-computer interaction and ubiquitous computing · 1

Expertise — from the expertise taxonomy: the topics of the expert's papers under the CCF categories. A weight counts papers with recency: 1 for a paper about the topic, 0.3 when the topic is its context, halved every five years.

Computer graphics and multimedia

1 paper

Visualization and visual analytics · 50% Geometric modeling and processing · 50%

Topics — the 2 heaviest of 2, each with the papers that count most for it

Topic	Weight	Papers	Last	Evidence papers
Visualization and visual analytics › scientific visualization mathematical visualization	0.1	1	2006	Visualization of Seifert Surfaces · IEEE Trans. Vis. Comput. Graph. 2006
Geometric modeling and processing › shape modeling › surface modeling surface generation	0.1	1	2006	Visualization of Seifert Surfaces · IEEE Trans. Vis. Comput. Graph. 2006

Methods — techniques the papers use, named apart from their topics

seifert's algorithm · 0.1physically based relaxation · 0.1braid representation · 0.1

Year	Publication	Venue	Position
2006	Visualization of Seifert Surfaces abstract The genus of a knot or link can be defined via Seifert surfaces. A Seifert surface of a knot or link is an oriented surface whose boundary coincides with that knot or link. Schematic images of these surfaces are shown in every text book on knot theory, but from these it is hard to understand their shape and structure. In this paper, the visualization of such surfaces is discussed. A method is presented to produce different styles of surface for knots and links, starting from the so-called braid representation. Application of Seifert's algorithm leads to depictions that show the structure of the knot and the surface, while successive relaxation via a physically based model gives shapes that are natural and resemble the familiar representations of knots. Also, we present how to generate closed oriented surfaces in which the knot is embedded, such that the knot subdivides the surface into two parts. These closed surfaces provide a direct visualization of the genus of a knot. All methods have been integrated in a freely available tool, called SeifertView, which can be used for educational and presentation purposes. Jarke J. van Wijk, Arjeh M. Cohen	IEEE Trans. Vis. Comput. Graph.	2
2005	Visualization of the Genus of Knots abstract The genus of a knot or link can be defined via Seifert surfaces. A Seifert surface of a knot or link is an oriented surface whose boundary coincides with that, knot or link. Schematic images of these surfaces are shown in every text book on knot theory, but from these it is hard to understand their shape and structure. In this paper the visualization of such surfaces is discussed. A method is presented to produce different styles of surfaces for knots and links, starting from the so-called braid representation. Also, it is shown how closed oriented surfaces can be generated in which the knot is embedded, such that the knot subdivides the surface into two parts. These closed surfaces provide a direct visualization of the genus of a knot. Jarke J. van Wijk, Arjeh M. Cohen	IEEE Visualization	2
2005	Preface Arjeh M. Cohen, Gert-Martin Greuel, Marie-Françoise Roy	J. Symb. Comput.	1
2004	Editorial Arjeh M. Cohen, Xiao-Shan Gao, Nobuki Takayama	J. Symb. Comput.	1
2003	Certifying Solutions to Permutation Group Problems Arjeh M. Cohen, Scott H. Murray, Martin Pollet, Volker Sorge	CADE	1
2001	Electronic Communication of Mathematics and the Interaction of Computer Algebra Systems and Proof Assistants Hendrik Pieter Barendregt, Arjeh M. Cohen	J. Symb. Comput.	2
2001	On the Role of OpenMath in Interactive Mathematical Documents Olga Caprotti, Arjeh M. Cohen	J. Symb. Comput.	2
2000	Representing and handling mathematical concepts by humans and machines abstract The following claims will be made. Hendrik Pieter Barendregt, Arjeh M. Cohen	ISSAC	2