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Computer Science and Engineering Laboratory

/ Tosiyasu L. Kunii / Professor
/ Takafumi Hayashi / Associate Professor
/ Karol Myszkowski / Associate Professor
/ Elena V. Anoshkina / Visiting Researcher
/ Oleg G. Okunev / Visiting Researcher
/ Galina Okuneva / Visiting Researcher
/ Runhe Huang / Research Associate

The Laboratory of Computer Science and Engineering has four permanent and three visiting members. The research conducted in the Laboratory is focused on developing new scientific concepts and methods through wide observation, hypothesis and theory formation, and proof and experiment, as well as through applying methods and concepts progressing in advanced mathematics, to abstract and model complexity. An important role in the research belongs also to visualization, which is helpful in understanding complex synthetic worlds in computers. The members of the Laboratory currently work on three projects:

1. Intelligent Dental Care System.

CAD/CAM techniques are used increasingly in dentistry for designing and fabricating teeth restorations. An important issue is preserving the occlusal contacts of teeth after restoration. A new mathematical model for global articulation simulation has been developed. The model is based upon the differential topological abstraction and characterization of the jaws considered as a mechanical system. The aim of the computer simulation is eliminating the use of mechanical articulators and manual adjustment in the process of designing dental restorations and articulation diagnostic.

2. Singularity and Differential Topological Modeling of Synthetic Worlds in Computer.

Singularity theory and differential topology turned out to be most versatile methods for abstracting and modeling complexity. The project is concentrated on the modeling of various singularity phenomena, in particular,

- singularities of surfaces and functions defined on surfaces (e.g., in wrinkling and mountains shape modeling);

- visualization of singularities and bifurcations that occur in differential geometry and its applications (surgery on manifolds, vector fields, etc.);

- singularity effects in lighting simulation (shading, caustics);

- applications to data management.

3. Virtual Reality SCCP Project.

The main goal of this work is the generation of realistic images, which are displayed at the real time rate on standard graphic workstations. The research work has been focused on application of texture mapping as an efficient drawing primitive, which successfully replaces complex polygonal meshes. The results of this research are summarized in [1] (See Refereed Proceeding Papers). Also, a video illustrating the proposed technique is available.

The members of the Laboratory also do research in theoretical mechanics, topology, parallel processing and lighting simulation.

Refereed Journal Papers

E. V. Anoshkina. Topological invariant for a generalized goryachev-chaplygin top. Trudy Mat. Inst. im. Steklova, 1994.
The topology of the system is completely described. The bifurcation diagram is constructed and topology of the constant energy are described.
Y.L. Kergosien, H. Gotoda, and T.L. Kunii. Bending and creasing virtual paper. IEEE Computer Graphics and Applications, 14(1):40-48, 1994.
Basic mathematical models are developed which simulate the deformation behavior of a sheet of unstretchable material such as paper. Two types of deformations, i.e., bending and creasing, are discussed and analyzed as transitions occurring between surfaces applicable to a piece of a plane. A topological criterion is presented which determines whether new, irregular points will emerge (i.e., creasing) or not (i.e., bending) during deformation. Comparisons with creases made in real sheets of unstretchable materials (paper and vinyl chloride) show that the qualitative aspects of real bending and creasing are well reproduced by our simulation models.
Yoshi T. Sakai, Yoshihisa Shinagawa, Yoko Shirota, and Tosiyasu L. Kunii. Analysis of the elongation of the coiled filamentous structure, the truncated cone, during the acrosome reaction of abalone sperm by computer simulation and quick-freeze, deep-etch electron microscopy. Cell Motility and the Cytoskeleton, 25:201-211, 1993.
A novel structure named the truncated cone was located in the apex of the acrosomal vesicle right beneath the outer acrosomal membrane of abalone sperm head. This truncated cone structure was composed of about 12 helically coiled filaments, each 3.5-3.6 m long with a diameter of 8-12 nm, forming a tightly compressed helicoid. During the acrosome reaction, the truncated cone elongated more than three times the original height and transformed into a thin cylinder by further coiling up of the filaments from the initial 2.5 to final 7 turns. The diameter and the length of each filament did not change during the elongation of the truncated cone into thin cylinder. Calculation from the equation of helical movement (spiral motion) applying the actual values of the truncated cone structure measured by electron microscopy gave the theoretical values nearly coincident with the actual measurements. The computer animation simulated the process of the movement of the coiled filaments composing the truncated cone and suggested that the elongation of the truncated cone into thin cylinder can be elucidated as a helical movement of the coiled filaments keeping their length constant. Quick-freez, deep-etch electron microscopy further revealed that each of the coiled filaments was characterized by its beaded configuration, closely resembling that of the intermediate filaments of our previous results by immunoelectron microscopy and immunoblot analysis. The movement of the helically coiled filaments of the truncated cone may provide first example of the intermediate filaments to participate in motility and fertilization.
Tosiyasu L. Kunii and Yoshihisa Shinagawa. Research issues in modeling complex object shapes for visualization. IEEE Computer Graphics and Applications, 14(2):80-83, 1994.
One of the main purposes of visualization is understanding the structures of the objects. The understanding of the object structures also helps to reconstruct the objects from a series of measurements. In order to represent and understand the structures of three-dimensional (3D) objects in computers, we need a method to abstractly describe their shapes. In the case of a polyhedral object, we can describe its shape by listing its vertices, edges and faces; When the object has a more complex shape, as can be seen in natural objects, we cannot find any vertices, edges and faces. This paper brings you to a world of new methods to represent the structure of very complex shapes of natural 3D objects for visualization. The extracted information can be used to reconstruct and visualize the 3D objects from its measurements. We first construct a representation based on the singular points of the objects and then hierarchically analyze the complex shapes.
O. G. Okunev. On embeddings of function spaces. Uspekhi Matematicheskikh Nauk, 48(1):177-178, 1993.
It is proved that if is a generalized linearly ordered space, then admits a topological imbedding in for some dyadic compact if and only if is a union of countably many compact metrizable subspaces.
O. G. Okunev. On lindelöf -spaces of continuous functions in the topology of pointwise convergence. Topology and its Applications, 49:149-166, 1993.
Some necessary and some sufficient conditions for and being Lindelöf -spaces are obtained. We also get some results on the descriptive complexity of .
O. G. Okunev. On analyticity in cosmic spaces. Commentationes Mathematicae Universitatis Carolinae, 34(1):185-190, 1993.
We show that analyticity is preserved by measurable mappings in the class of cosmic spaces. As an application, we show that if is a separable metrizable space and a dense countable subspace of , then the space of restricted continuous functions is analytic if and only if is -compact.
O. G. Okunev and I. V. Yaschenko. On spaces of continuous functions on separable -compact spaces. Vestnik Moskovskogo Universiteta, Ser. 1, Matematika, Mekhanika, (5):75-78, 1993.
We show, under Martin's Axiom+Continuum Hypothesis, the existence of an uncountable subset of the unit segment such that the countable power of the space obtained from by making the points in isolated is Lindelöf. As an application, an example of a separable, -compact space such that Lindelöf, but contains an uncountable discrete set, is constructed under .
O. G. Okunev. A method for constructing examples of -equivalent space. correction. Topology and its Applications, 49:191-192, 1993.
A correction to the paper "A method for constructing examples of -equivalent spaces", Topol. Appl., vol. 36, 1990.
Huang R. and Fogarty T. C. Learning prototype control rules for combustion control with genetic algorithm. Modelling, Measurement &Control, 38(4):55-64, 1993.
To achieve automatically and continually optimise combustion in a multiple burners furnace by altering the air inlet valve to each of the burners depending upon the carbon monoxide and oxygen readings taken from their common flue, a genetic algorithm based prototype control rules learning system has been developed and tested on the simulated ten burner installations. Prototype control rules are point based but only a limited number of points in the state space with associated control actions are learned by using genetic algorithm. The nearest neighbour matching algorithm is used to decide which of the rules to be activated.

Refereed Proceeding Papers

K. Myszkowski and T.L. Kunii. Texture mapping as an alternative for meshing during walkthrough animation. In G. Sakas and P. Shirley, editors, 5th Eurographics Workshop on Rendering, pages 375-388. Eurographics, Springer Verlag, June 1994.
Mesh-based radiosity calculation requires many mesh elements to reconstruct subtle details of shading. On the other hand, the excessive number of polygons slows down rendering, impairing the sensation of interactivity when a user-navigated walkthrough in complex environment is performed. When distribution of illumination over a scene is to be quickly rendered, then the Gouraud shaded polygon becomes an inefficient drawing primitive, which can be successfully replaced by texture mapping. This paper proposes an application of texture mapping to reconstruct the shading of surfaces in the scene regions where distribution of illumination is extremely complex. Mesh-based Gouraud shading is used to visualize the remaining surfaces, exhibiting simple illumination, usually constituting the majority of the scene. As a result, many mesh elements can be eliminated, compared to traditional approaches, and image display can be done significantly faster. Also, the improvement of shading quality is possible by recalculating illumination and storing the results as textures in scene regions where a mesh-based approach produces shading artifacts. Experiments performed have shown that application of this idea pays off on high-end workstations, when hardware supported texture mapping is available.
K. Myszkowski, K. Wicynski, and A. Khodulev. Simulation of ideal specular light path by ray tracing. In W. Mokrzycki, editor, 3rd International Conference on Computer Graphics and Image Processing, pages 123-137, Polish Academy of Sciences, ul. Ordona 21, 01-237 Warsaw, Poland, May 1994.
We present a rendering method based on physically accurate lighting simulation designed to visualize complex scenes characteristic for architectural and interior design applications. Separating light interaction with surface into perfectly diffuse and specular components, we propose a method for efficiently handling light paths reaching diffuse surfaces via specular reflection by intermediate surfaces. Specular component is calculated ``on-the-fly", affecting diffuse component that is stored in adaptive mesh structure for later reuse. It allows a good quality walkthrough animation that by contrast to radiosity approach, exhibits also specular component illuminating diffuse surfaces. Final still images are generated by tracing rays from the eye and collecting mesh stored light from diffuse surfaces. The method compares favorably with analytically precalculated results.
J. Lee and T.L. Kunii. Generation and recognition of sign language using graphic models. In H. Yamada, Y. Kambayashi, and S. Ohta, editors, Computers as Our Better Partners (Proc. of the IISF/ACM Japan Symposium), pages 96-103. World Scientific, March 1994.
The use of computers to break down communication barriers with the hearing impaired is one of the most challenging tasks of computer application. Our work to generate and recognize sign language based on graphic models, along with the in-depth review of the problems in the conventional approaches, has been summarized in this paper. The explanation is done divided into two subtasks, sign language generation and sign language recognition.
Masayuki Ohga, Yoshihisa Shinagawa, Tosiyasu L. Kunii, Etsuo Kunieda, and Shozo Hashimoto. Constructing a medical image database with the graph operators on the graph data model. In Sung Yong Shin and Tosiyasu L. Kunii, editors, Computer Graphics and Applications. (Proc. of the First Pacific Conference on Computer Graphics and Applications, Pacific Graphics '93), pages 3-19. World Scientific, 1993.
This paper presents a novel medical image database that can handle queries regarding the structural elements contained in the stored medical images based on the graph data mode. In the graph data model, a database is represented as a graph in which a vertex corresponds to a record and an edge (called a link) corresponds to the relationship between the two records. First of all, an image database whose vertices correspond to structural elements in images and whose links represent the relationships between structural elements is constructed. The graph operators that compute the minimum spanning tree, the transitive closure and other properties of the graph provide useful information for the medical diagnosis. As an application, we have constructed a CT image database where the structural elements are the blood vessels. The blood vessels in a CT cross-sectional image are extracted as line segments using Hough transformation. For example, by computing the minimum spanning tree of the graph, whether a blood vessel is an artery or a vein can be judged, which is important for the diagnosis of cancers.
Yoshihisa Shinagawa, Saeko Miyoshi, and Tosiyasu L. Kunii. Viewpoint analysis of drawings and paintings rendered using multiple viewpoints: Cases containing rectangular objects. In Michael Cohen, Claude Puech, and Francois Sillion, editors, Proc. Fourth Eurographics Workshop on Rendering, pages 127-143, 1993.
Given a perspective drawing or painting of objects, human beings can reason about their shapes in three-dimensional space. This paper presents a new method that analyzes the locations of the viewpoints of a drawing or a painting even when it is rendered with multiple viewpoints. Our method uses the rectangles contained in it, because there are a great number of objects that consists of rectangular shapes. We then reconstruct the rectangular objects by specifying the viewpoints for them. Experimental results of the analysis of drawings that contain illusions of objects that cannot actually exist are shown. We also analyze modern paintings that do not use the traditional perspective method.
Yoshihisa Shinagawa, Tosiyasu L. Kunii, Anatoly T. Fomenko, and Shigeo Takahashi. Coding of object surfaces using atoms. In Larry Rosenblum, Rae A. Earnshaw, Jose Encarnacao, Hans Hagen, Arie Kaufman, S. Klimenko, Gregory Nielson, Frits Post, and Daniel Thalmann, editors, Scientific Visualization: Advances and Challenges (Proc. Office of Naval Research Data Visualization Workshop 93, pages 309-322. Academic Press, 1994.
This paper proposes a new method to code the surface of a three-dimensional object using mathematical primitives called atoms. This method is an expansion of the method that codes the smooth surface of a natural object such as a human organ by the singular points of the height function based on Morse theory. It allows to handle the cases where there is more than one singular point on a level cross-sectional plane. Using the atoms, non-orientable surfaces such as the two-dimensional projective space and the Klein bottle can be coded. The method is further expanded to allow direct description with multiple height functions.
Tosiyasu L. Kunii, Yukinobu Tsuchida, Yasuhiro Arai, Hiroshi Matsuda, Masahiro Shirahama, and Shinya Miura. A model of hands and arms based on manifold mappings. In Nadia Magnenat Thalmann and Daniel Thalmann, editors, Communicating with Virtual Worlds, (Proc. CG International '93), pages 381-398. Springer-Verlag, 1993.
A multibody model of hands and arms is presented. Representative points of contact are considered as the end-effectors. The configuration space and the workspace are modeled as manifolds, and the task feasibility is defined using the notions of manifold mappings and Jacobian matrices. Joint rotation limits and dependencies between the joints are considered in the configuration space. A procedure to check the task feasibility is presented. The causes which lead to the infeasible task are classified into singular configuration, boundary transgression, and disharmony. Finally, a technique of martial arts, Shorinji Kempo, is analyzed to demonstrate the usefulness of the model.
Jintae Lee and Tosiyasu L. Kunii. Constraint-based hand animation. In Nadia Magnenat Thalmann and Daniel Thalmann, editors, Models and Techniques in Computer Animation (Proc. Computer Animation '93), pages 110-127. Springer, 1993.
Simulation of hand motions is a complicated task since its articulation makes complex movements with at least 27 degrees of freedom involving various constraints. A new approach to hand modeling, reflecting constraints of human hands, is presented. The validity of the presented model is verified through experiments to automatically recognize complex hand motions based on the model.
Hitoshi Saji, Yoshihisa Shinagawa, Tosiyasu L. Kunii, Hirohisa Hioki, Kazuhiro Hara, Noriaki Asada, and Masato Yasumoto. Characterization of object shapes by singular points: with an application to feature extraction of human facial expressions. In Visualization and Intelligent Design in Engineering and Arcihitecture (Proc. VIDEA'93), pages 29-43. Computational Mechanics Publications and Elsevier Science Publishers, 1993.
The surface singular points of a function defined on an object surface represents the topological structure of the object. This paper proposes and reports the implementation and testing of a new method to characterize the facial expressions by extracting the singular points of the face. As the input, the surface normals of human faces obtained by the lighting switch photometry method are used. An averaging filter is used to reduce the noise in the raw data. The experimental results demonstrate the usefulness of the proposed method to characterize facial expressions.
Tosiyasu L. Kunii and Shigeo Takahashi. Area guide map modeling by manifolds and cw-complexes. In B. Falcidieno and T. L. Kunii, editors, Modeling in Computer Graphics, (Proc. IFIP TC5/WG5.10 Second Working Conference on Modeling in Computer Graphics), pages 5-20. Springer-Verlag, 1993.
From ancient times, area guide maps have been drawn intuitively without appropriate modeling. Understanding such maps and developing guide map CAD require clear modeling. This paper presents the model of area guide maps using manifolds and CW-complexes. The process of drawing an area guide map is modeled as that of creating a manifold. First, we represent the surface shape of an area as a CW-complex. Then, we glue the CW-complexes representing the areas into a manifold. Surface shapes in the overlaps are blended by a partition of unity. The mechanism to project a surface shape from multiple views is installed. Finally, the area guide map is generated automatically.
Tosiyasu L. Kunii, Hirohisa Hioki, and Yoshihisa Shinagawa. Visualizing highly abstract mathematical concepts: a case study in animation of homology groups. In T. S. Chua and T. L. Kunii, editors, Mulitimedia Modeling (Proc. First International Conference on Multi-Media Modeling), pages 3-30. World Scientific, 1993.
Visualization is a powerful means to understand the properties of objects for designing industrial products. Object visualization has been, however, mostly based on simple mathematical concepts such as vector fields and isosurfaces of functions. This paper proposes a method to visualize a highly abstract mathematical concept: algebraic topology, particularly homology groups. We present a system that visualizes the computational process of homology groups; i.e., computation of groups of cycles Z, groups of boundaries B, and then the homology groups as the quotient groups Z/B. The animation of homology exact sequences is provided to compute homology groups that are difficult to be obtained directly. Quotient groups are also visualized in the system.

Books

Tat-Seng Chua and Tosiyasu L. Kunii, editors. Multimedia Modeling. World Scientific, 1993.
Sung Yong Shin and Tosiyasu L. Kunii, editors. Computer Graphics and Applications. World Scientific, 1993.
Bianca Falcidieno and Tosiyasu L. Kunii, editors. Modeling in Computer Graphics. Springer-Verlag, 1993.

Chapters in Books

E. V. Anoshkina, T. L. Kunii, G. G. Okuneva, and Y. Shinagawa. On the topology of an integrable variant of a nonholonomic Suslov problem. 1994.
Issei Fujishiro, Yasuto Shirai, and Tosiyasu L. Kunii. An Entity-Relationship Approach to Fuzzy Database Design, chapter 3, pages 51-83. Nikkan-Kogyo Shinbun-sha, 1993.

Unrefereed Papers

K. Myszkowski, P. Rej, and A. Wojdala. Hardware support for realistic image synthesis. Informatics, 28(8):21-25, 1993.
K. Myszkowski. Virtual revisiting of architectural masterpieces and the problem of lighting simulation. In Tosiyasu L. Kunii, editor, Proceedings of 1st French-Japanese Workshop on Synthetic Worlds, 1993.
O. G. Okunev. Spaces of continuous functions and -images. In General Topology Symposium 6-8 December, 1993 at Saitama University, pages 63-70. Japan Mathematical Society and Saitama University, 1994.

Technical Reports

Tosiyasu L. Kunii, Hirohisa Hioki, and Yoshihisa Shinagawa. Visualizing highly abstract mathematical concepts: a case study in animation of homology groups. 93-1-006, The University of Aizu, 1993.

Academic Activities

Karol Myszkowski, Runhe Huang, Elena Anoshkina, and Galina Okuneva, Assistants to Prof. Tosiyasu L. Kunii, Programme Co-Chair of ACM Multimedia '94 conference (San Francisco). Processing of 34 papers, 1993.
Assistants to Prof. Tosiyasu L. Kunii, Programme Co-Chair of ACM Multimedia '94 conference (San Francisco). Processing of 34 papers.
Karol Myszkowski, Siggraph '93 (U.S.A.), Computer Graphics International '94 (Australia), Virtual Reality Software and Technology '94 (Singapore), Eurographics '94 (Oslo), 1993.
Reviewing papers for the following conferences: Siggraph '93 (U.S.A.), Computer Graphics International '94 (Australia), Virtual Reality Software and Technology '94 (Singapore), Eurographics '94 (Oslo).
Karol Myszkowski, Machine Graphics and Vision Journal, 1993.
Reviewing papers for the Machine Graphics and Vision journal.
Karol Myszkowski, The Visual Computer International Journal of Computer Graphics (1993.12 - ). Editor of the Book Review section in this journal, 1993.
Position of Editorial Assistant in The Visual Computer International Journal of Computer Graphics (1993.12 - ). Editor of the Book Review section in this journal.
Karol Myszkowski, Programme Committee of 3rd International Conference on Computer Graphics and Image Processing held by Polish Academy of Sciences, 1993.
Member of Programme Committee of 3rd International Conference on Computer Graphics and Image Processing held by Polish Academy of Sciences.
Tosiyasu L. Kunii, The Board of Directors of Japan Society of Simulation and Gaming (1990.9 - ), 1993.
On the Board of Directors of Japan Society of Simulation and Gaming (1990.9 - ).
Tosiyasu L. Kunii, The Board of Directors of Japan Society of Sports Industry (1989 - ), 1993.
On the Board of Directors of Japan Society of Sports Industry (1989 - ).
Tosiyasu L. Kunii, The Committee on Information Processing Education at Universities and Colleges, Information Processing Society of Japan, sponsored by the Ministry of Education, Science and Culture, the Government of Japan (1989.4 - ), 1993.
Member of the Committee on Information Processing Education at Universities and Colleges, Information Processing Society of Japan, sponsored by the Ministry of Education, Science and Culture, the Government of Japan (1989.4 - ).
Tosiyasu L. Kunii, Information System Working Group of the Committee on Information Processing Education at Universities and Colleges, Information Processing Society of Japan, sponsored by the Ministry of Education, Science and Culture, the Government of Japan (1989.4 - ), 1993.
Head of Information System Working Group of the Committee on Information Processing Education at Universities and Colleges, Information Processing Society of Japan, sponsored by the Ministry of Education, Science and Culture, the Government of Japan (1989.4 - ).
Tosiyasu L. Kunii, British Computer Society (1988.8 - ), 1993.
Member of British Computer Society (1988.8 - ).
Tosiyasu L. Kunii, IFIP Working Group 5.10 on Computer Graphics (1988.8 - ), 1993.
Member of IFIP Working Group 5.10 on Computer Graphics (1988.8 - ).
Tosiyasu L. Kunii, Information and Computer Science Education Committee sponsored by the Ministry of Education, Science and Culture, the Government of Japan (1988.4 - ), 1993.
Member of Information and Computer Science Education Committee sponsored by the Ministry of Education, Science and Culture, the Government of Japan (1988.4 - ).
Tosiyasu L. Kunii, The Board of Councillors of Japanese Society for Artificial Intelligence (1988.4 - ), 1993.
Member of the Board of Councillors of Japanese Society for Artificial Intelligence (1988.4 - ).
Tosiyasu L. Kunii, The Board of Directors, International Information Science Foundation (1987.4 - ), 1993.
On the Board of Directors, International Information Science Foundation (1987.4 - ).
Tosiyasu L. Kunii, IEEE (1991.1 - ), 1993.
Fellow of IEEE (1991.1 - ).
Tosiyasu L. Kunii, IFIP Working Group 7.1 on Modeling and Simulation (1972 - ), 1993.
Member of IFIP Working Group 7.1 on Modeling and Simulation (1972 - ).
Tosiyasu L. Kunii, The International Conference on Multi-Media Modeling (MMM'93) (1993.11), 1993.
Program Co-Chairperson of the International Conference on Multi-Media Modeling (MMM'93) (1993.11).
Tosiyasu L. Kunii, IEEE Visualization '93 Conference (1993.10), 1993.
Program Committee member of the IEEE Visualization '93 Conference (1993.10).
Tosiyasu L. Kunii, IFIP TC5/WG5.10 Second Working Conference on Modeling in Computer Graphics (1993), 1993.
Programme Chairperson of IFIP TC5/WG5.10 Second Working Conference on Modeling in Computer Graphics .
Tosiyasu L. Kunii, First Pacific Conference on Computer Graphics and Application (Pacific Graphics '93) (1993), 1993.
Program Co-Chair and a Member of Conference Committee of the First Pacific Conference on Computer Graphics and Application (Pacific Graphics '93).
Tosiyasu L. Kunii, CG International '93 (1993), 1993.
Program Committee member of the CG International '93 .
Tosiyasu L. Kunii, Computer Animation '93 (1993), 1993.
Program Committee member of Computer Animation '93 .
Tosiyasu L. Kunii, Workshop on Topological Modeling for Visualization (1994.1), 1993.
Program Co-Chairperson of the Workshop on Topological Modeling for Visualization.
Tosiyasu L. Kunii, Journal Transputer Communications, 1993.
On the Editorial Board of The Journal Transputer Communications
(1993.8 - ).
Tosiyasu L. Kunii, Journal Modeling and Scientific Computing, 1993.
On the Editorial Board of The Journal Modeling and Scientific Computing (1991.9 - ).
Tosiyasu L. Kunii, Journal Mathematical Modeling and Scientific Computing, 1993.
On the International Editorial Board of The Journal Mathematical Modeling and Scientific Computing (1993.1 - ).
Tosiyasu L. Kunii, Journal IEICE Transactions, 1993.
Advisory Member of The Journal IEICE Transactions (1991.1 - ).
Tosiyasu L. Kunii, Journal Modelling and Scientific Computing, 1993.
On the Editorial Board of The Journal Modelling and Scientific Computing (1990.11 - ).
Tosiyasu L. Kunii, The Journal of Visualization and Computer
Animation, 1993.
Associate Editor-in-Chief of The Journal of Visualization and Computer
Animation (1990.9 - ).
Tosiyasu L. Kunii, Journal The Computer Bulletin, 1993.
On the Editorial Board of The Journal Computer Bulletin (1988.8 - ).
Tosiyasu L. Kunii, Journal Electronic Publishing, 1993.
On the Editorial Board of The Journal Electronic Publishing (1987.8 - ).
Tosiyasu L. Kunii, Journal Distributed Computing, 1993.
On the Editorial Board of The Journal Distributed Computing (1986.1 - ).
Tosiyasu L. Kunii, The Visual Computer: An International Journal of Computer Graphics, 1993.
Editor-in-Chief of The Visual Computer: An International Journal of Computer Graphics (1984.9 - ).
Tosiyasu L. Kunii, The Information Sciences: An International Journal, 1993.
Associate Editor of The Information Sciences: An International Journal (1983.10 - ).
Tosiyasu L. Kunii, Journal Information Systems, 1993.
Advisory Editor of The Journal Information Systems (1976 - ).
Oleg G. Okunev, American Mathematical Society, 1993.
Reviewer for Journal ``Mathematical Reviews''.
Galina Okuneva, American Mathematical Society, 1993.
A member of the American Mathematical Society.
Galina Okuneva, American Mathematical Society, 1993.
A reviewer for Journal ``Mathematical Reviews''.
Runhe Huang, 1993.
Reviewing papers for WTC/TAT '93 International Conference.
Runhe Huang, 1993.
Assistant to Professor Tosiyasu L. Kunii in reviewing papers for Journal ``Transputer Communications''.

Others

Tosiyasu L. Kunii. Generalized modelling for visual information. A Research Grant 05402060, 731, 1993.

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Fri Feb 10 09:19:38 JST 1995