Sweeping with all graphical ingredients in a topological picturebook

Sweeping is a powerful method to generate 3-D shapes in geometric modeling. In this paper we formulate a general matrix to give a mathematical definition of twisted-profiled sweep objects as a discrete approximation. While conceptually simple, our result is, to our best knowledge, the first precise formulation of sweeping with all graphical ingredients, viz. twisting, scaling, rotation, and translation. Twisted-profiled sweeping surfaces defined by contour, profile, trajectory, and guide curves are thus represented in concatenated matrix formulation. In addition, we give interactive methods to generate sweep objects and present sample figures produced within the framework of our implementation Tb, a topological picturebook. © 1992

On the correct determination of rotational angles for twisted-profiled sweep objects

In the context of the paper of V. Akman and A. Arslan, "Sweeping with All Graphical Ingredients in a Topological Picturebook" [Computers & Graphics, Vol. 16(3), pp. 273-281, 1992], a new construction of the rotational matrix is presented. This fixes a bug discovered by the first author. © 1994

An Electronic topological picturebook

Ankara : The Department of Computer Engineering and Information Science and the Institute of Graduate Studies of Bilkent University, 1992.Thesis (Ph.D.) -- Bilkent University, 1992.Includes bibliographical references leaves 73-78.An electronic topological picturebook is envisaged as a computerized version of A Topological Picturehook by George K. Francis, .Springer-Verlag, New York (1987). Francis’ book is full of complicated topological figures, mostly drawn manually. The main goal of the thesis is to automate the production of such illustrations and to obtain publication-quality hardcopy using assorted techniques of computer graphics. To that end, sweeping is discussed as a major surface modeling tool. Some interactive methods are given to produce interesting topological surfaces. The program Tb (which stands for ‘Topologybook’) is described and various pictures generated by this software are presented. Tl· is a free-form surface modeler and produces topological shapes with little effort. Central to the implementation of Tb is a paradigm of solid modeling in which computation of a shape is regarded as sweeping with some parametric variations, viz. shape = sweep + control.Arslan, AhmetPh.D

Texture mapping with ray tracing

Includes bibliographical references leaves 56-59.Thesis (Master's)--Bilkent University, 1993.Ankara : The Department of Computer Engineering and Information Science and Institute of Engineering and Science of Bilkent University,1993.By using texture generation and global illumination techniques, it is possible to produce realistic computer images. Currently, ray tracing is one of the most popular global illumination techniques due to its simplicity, elegance, and easy implementation. In this thesis, texture mapping techniques are used with ray tracing to generate high quality visual effects. The implementation of the mapping process is presented and an approach for combining prefiltering techniques with ray tracing is introduced. General sweep surfaces produced by Topologybook are used for modeling.by Uğur Akdemir.M.S

Object-oriented motion abstraction

Ankara : Department of Computer Engineering and Information Science and Institute of Engineering and Science, Bilkent Univ., 1993.Thesis (Master's) -- Bilkent University, 1993.Includes bibliographical references leaves 74-77Erkan, BilgeM.S

This Week's Finds in Mathematical Physics (1-50)

These are the first 50 issues of This Week's Finds of Mathematical Physics, from January 19, 1993 to March 12, 1995. These issues focus on quantum gravity, topological quantum field theory, knot theory, and applications of $n$-categories to these subjects. However, there are also digressions into Lie algebras, elliptic curves, linear logic and other subjects. They were typeset in 2020 by Tim Hosgood. If you see typos or other problems please report them. (I already know the cover page looks weird).Comment: 242 page

Tartu Ülikooli toimetised. Tööd semiootika alalt. 1964-1992. 0259-4668

http://www.ester.ee/record=b1331700*es