Refereed Publications

1. V. Adzhiev, P. Comninos, M. Kazakov, A. Pasko, Functionally based augmented sculpting, Computer Animation and Virtual Worlds, vol.16, No.1, 2005, John Wiley & Sons, pp. 25-39.
   Abstract - In this paper we describe an approach to computer-aided sculpting concerned with the creation and modification of digital models based on physical abstract sculptures. We begin by presenting a survey of current methods for the creation of computer-aided sculptured artefacts. As well as presenting computer-generated animated models of pre-existing sculptures by Russian artist Igor Seleznev, we also show how some interesting novel shapes can be generated using the HyperFun system. Finally we outline two advanced projects concerned with creating a sculpture-based augmented reality which allows for the interactive participation of the observer.
2. G. Pasko, A. Pasko, T. Kunii, Bounded blending for function-based shape modeling, IEEE Computer Graphics and Applications, vol. 25, No. 2, 2005, pp. 36-45.
   Abstract - We propose new analytical formulations of bounded blending operations for the function-based constructive shape modeling. The blending set operations are defined using R-functions and displacement functions with the localized area of influence. The shape and location of the blend is defined by control points on the surfaces of two solids or by an additional arbitrary bounding solid also defined by a real-valued function. The proposed blending using a bounding solid can be applied to a single selected edge, a vertex, or another blend. We introduce new types of blends such as a multiple blend with the disconnected bounding solid and a partial edge blend. The proposed blending is shown to have versatile applications in interactive design. Influence of all parameters on the blend shape and location is illustrated.
3. R. Cartwright, V. Adzhiev, A. Pasko, Y. Goto, T. Kunii, Web-based shape modeling with HyperFun, IEEE Computer Graphics and Applications, vol. 25, No. 2, 2005, pp. 60-69.
   Abstract - We present a project on research and development of the high level language HyperFun for shape modeling using implicit surfaces and the more general function representation (FRep). An approach to collaborative Web-based shape modeling using HyperFun is described in detail. The presented EmpiricalHyperFun shape modeling system based on Empirical Modeling principles provides users with an unusual degree of mutual interaction through the Web.
4. P.-A. Fayolle, B. Schmitt, Y. Goto, A. Pasko, Web-based constructive shape modeling using real distance functions, IEICE Transactions on Information and Systems, vol. E88-D, No. 5, May 2005, pp. 828-835.
   Abstract - An approach and a web-based system implementation for modeling shapes using real distance functions are presented. The system consists of an applet supporting the HyperFun modeling language. The applet is extended with primitives defined by Euclidean distance from a point to the surface of the shape. Set-theoretic operations (union, intersection, difference) that provide an approximation of the Euclidean distance to a shape built in a constructive way are introduced. Such operations have a controllable error of the exact Euclidean distance to the shape and preserve C1 continuity of the overall function, which is an important condition for further operations and applications.
5. B. Schmitt, A. Pasko, P.-A. Fayolle, Local metamorphosis of functionally defined shapes, GRAPHITE 2005, ACM SIGGRAPH publication, 2005, pp. 355-361.
   Abstract - A new operation for the local control of the metamorphosis of two functionally defined shapes is proposed. To implement this operation, a set of non-overlapping space partitions is introduced, where the metamorphosis occurs locally. The sequence of local metamorphosis processes is controlled by a specific time schedule. The definitions of the partitions, of the time schedule, and finally of the local metamorphosis operation, are described in this paper. Experimental results and comparison with the traditional metamorphosis operations are also provided.
6. E. Kartasheva, V. Adzhiev, P. Comninos, A. Pasko, B. Schmitt, Heterogeneous objects modelling and rendering using implicit complexes, Information Visualization IV’05, IEEE Computer Society, 2005, pp. 854 - 859.
   Abstract - This paper describes a technology for modelling and rendering heterogeneous objects containing entities of various dimensionalities within a cellular-functional framework based on the implicit complex notion. Implicit complexes make it possible to combine a cellular representation and a constructive function representation. We describe a formal framework for such a hybrid representation and propose a general structure for implicit complexes. Then, we consider how an implicit complex can be described geometrically and topologically along with its associated attributes. Rendering algorithms for implicit complexes using ray-tracing are also discussed. Finally, we present a case study illustrating the proposed methods and algorithms.
7. A. Pasko, V. Adzhiev, Y. Goto, C. Vilbrandt, Function-based shape modeling framework in multilevel education, Eurographics 2005, Educaton Papers, J.-J. Bourdin and H. McCabe (Eds.), Eurographics Association, 2005, pp.19-23.
   Abstract - An approach to using the development of a shape modeling and visualization framework based on the rapidly progressing function representation in education. The modeling language and software tools are being developed within an international HyperFun Project. We applied the theoretical framework and software tools on different levels of education starting from elementary schools to doctoral thesis research in various areas related to mathematics, computer graphics, programming languages, artistic design and animation. We illustrate the presented approach by the practical experience examples from different educational institutions and countries.
8. G. Pasko, A. Pasko, T. L. Kunii, Ternary blending operations, 21st European Workshop on Computational Geometry, Technische Universiteit Eindhoven, Netherlands, March 9-11, 2005, pp. 143-145.
   Abstract - We discuss new analytical formulations for localized and controllable blending operations in the function-based solid modeling and computer animation. The blending set operations are defined using R-functions and displacement functions with the localized area of influence. The shape and location of the blend are controlled by an additional bounding solid thus turning the operation into a ternary one. We also describe a new approach to solving the problem of shape metamorphosis between k-dimensional shapes by applying space-time bounded blending to the specially constructed (k+1)-dimensional half-cylinders and making cross-sections for getting intermediate shapes under the transformation.
9. E. Kartasheva, V. Adzhiev, P. Comninos, A. Pasko, B. Schmitt, Construction of implicit complexes: a case study, WSCG'05, 13^th International Conference in Central Europe on Computer Graphics, Visualization and Computer Vision, Ed. V. Skala, 2005, pp. 219-226.
   Abstract - This paper presents a detailed description of a case-study demonstrating a novel method for modelling and rendering of heterogeneous objects containing entities of various dimensionalities within a cellular-functional framework based on the implicit complex notion. Implicit complexes make it possible to combine a cellular representation and a constructive function representation. We briefly describe a formal framework for such a hybrid representation as well as a general structure for implicit complexes. Then, using a representative example, we show how an implicit complex can be constructed geometrically and topologically. We also consider the main rendering issues specific to implicit complexes and describe some implementation problems.
10. E. Kartasheva, V. Adzhiev, P. Comninos, A. Pasko, B. Schmitt, Modelling with implicit complexes, ACM SIGGRAPH 2005, Sketches, LA, USA, August, 2005.
    Abstract - This sketch presents a novel method for modelling heterogeneous objects. Such objects can be heterogeneous from the point of view of their dimensionality and internal structure. We have defined a hybrid model, called an Implicit Complex based on the concepts of cellular spaces and CW-complexes. We have extended CW-complexes with the implicit description of cells and allowed more sophisticated relations, between the cells, to be defined.

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