Valery Adzhiev

• PhD
• Principal Academic at Bournemouth University

The rapid technological advances in computing and computer graphics of the past three decades have in turn fueled the proliferation of the use of these technologies for Cultural Heritage. Formal educational courses for the application of computer graphics to Cultural Heritage are few and far between, and the courses that do exist tend to be targete...

Heterogeneous object modelling is an emerging area where geometric shapes are considered in concert with their internal physically-based attributes. This paper describes a novel theoretical and practical framework for modelling volumetric heterogeneous objects on the basis of a novel unifying functionally-based hybrid representation called HFRep. T...

Heterogeneous object modelling is an emerging area where geometric shapes are considered in concert with their internal physically-based attributes. This paper describes a novel theoretical and practical framework for modelling volumetric heterogeneous objects on the basis of a novel unifying functionally-based hybrid representation called HFRep. T...

Space-time blending (STB) is an established technique allowing to implement a metamorphosis operation between geometric shapes. In this paper we significantly extend the STB method to make it possible to deal with heterogeneous objects, which are volumetric objects with attributes representing their physical properties. The STB method, used for geo...

This paper deals with 2D image transformations from a perspective of a 3D heterogeneous shape modeling and computer animation. Shape and image morphing techniques have attracted a lot of attention in artistic design, computer animation, and interactive and streaming applications. We present a novel method for morphing between two topologically arbi...

In this file we present detailed outline of the automatic control of the a0 coefficient for the Space-Time Blending method described in https://epubs.siam.org/doi/10.1137/19M1241581

This paper describes a novel framework allowing for a hybrid representation of heterogeneous objects. We consider advantages and drawbacks of the conventional representations based on scalar fields of different kinds. The main result is introducing a hybrid representation called Hybrid Function Representation (HFRep) that preserves the advantages o...

Mass customisation has become a prospective business strategy for many industries. Despite the great efforts that have been put into implementing product configuration systems (e.g., NikeID), the Deloitte Consumer Review 2019 indicated that nearly half of consumers still prefer to buy mass produced products. Another study by Khan and Haasis (2016)...

This paper describes a novel approach to visual-auditory volume rendering of continuous scalar fields. The proposed method uses well-established similarities in light transfer and sound propagation modelling to extend the visual scalar field data analysis with auditory attributes. We address the visual perception limitations of existing volume rend...

We present an outstanding undergraduate research project that has resulted in the development of a parametrised method for simulating drying and decaying vegetable matter from the fruits category, taking into account the biological characteristics of the decaying fruit. This work was awarded 1st place in the undergraduate category of the ACM Studen...

Mass customization (MC) allows consumers to design their own products or services through online MC toolkits. The application of geometric modeling through modern web-browsers allows for the presentation of a virtual 3D product, resulting in a number of commercial 3D MC sites. To gain a deeper understanding of the toolkits that drive these sites, t...

This article deals with creating artistic shapes in a cubist style. The authors propose adding cubist features to (or cubification of) time-variant sculptural shapes. A new concept of a 4D cubist camera is introduced for multiple projections from 4D space-time to 3D space, and 3D printing for stop-motion animation is applied.

In our day it's hard to imagine modern research in sophisticated scientific area without use of visual analytics tools. However, humans are able to receive and analyze information about world around them not only through their eyes, but with help of other sensory stimuli as well and there is no reason why scientific data analyses should be an excep...

This poster describes an original approach to producing artistic shapes in a cubist style. We propose mathematical models and algorithms for adding cubist features to (or cubification of) time-variant sculptural shapes as well as a practical technological pipeline embracing all the main phases of their production. A novel method is proposed for fac...

This poster describes an original approach to creating static and dynamic sculptures in a cubist style. We propose a novel method for faceting and local distortion thus adding cubist features and generating time-variant sculptural shapes. We introduce the concept of a 4D cubist camera for blending multiple projections from 4D space-time to 3D space...

The SHIVA project was designed to provide virtual sculpting tools for young people with complex disabilities, allowing them to engage with artistic and creative activities that they might otherwise never be able to access. Their creations are then physically built using 3D printing. To achieve this, the authors built a generic, accessible GUI and a...

A well-known definition of visualization is the mapping of initial data to a visual representation, which can be perceived and interpreted by humans. Human senses include not only vision, but also hearing, sense of touch, smell and others including their combinations. We discuss in this article multisensory scientific visualization, in other words...

The paper presents a novel technique based on extension of a general mathematical method of transfinite interpolation to solve an actual problem in the context of a heterogeneous volume modelling area. It deals with time-dependent changes to the volumetric material properties (material density, colour and others) as a transformation of the volumetr...

3D web-based shape modelling and rendering is becoming an increasingly important research area. Many applications have emerged, both established ones, such as collaborative design and new ones, such as heterogeneous objects modelling along with their subsequent fabrication using 3D printing. In this paper, we explore a crucial issue of the technolo...

Enabling animators to smoothly transform between animated meshes of differing topologies is a long-standing problem in geometric modelling and computer animation. In this paper, we propose a new hybrid approach built upon the advantages of scalar field-based models (often called implicit surfaces) which can easily change their topology by changing...

In this paper we present the SHIVA project which was designed to provide virtual sculpting tools for children with complex disabilities, to allow them to engage with artistic and creative activities that they might otherwise never be able to access. Modern 3D printing then allows us to physically build their creations. To achieve this, we combined...

We describe the ways in which an approach to constructive shape modelling based on the Function Representation (FRep) can be used to facilitate creative thinking in artistic and technical education. This approach assumes the use of a simple programming language or interactive software tools for creating a shape model, generating its images and fina...

The paper discusses scientific visualization as a modern computerbased method of scientific data analysis in experimental and theoretical research. A definition of this method and descriptions of some of its characteristics are given as observed by the authors from the generalization of practical experience. An example of the implementation of this...

A general definition of visualization is a mapping of data to a representation that can be perceived. Types of this representation can be not only visual, but auditory, tactile, and others directly related to human senses or combinations of them. A formal framework for mapping data to various sensory stimuli is an open research issue. In this paper...

We propose a new approach to modelling heterogeneous objects containing internal volumetric structures with size of details orders of magnitude smaller than the overall size of the object. The proposed function-based procedural representation provides compact, precise, and arbitrarily parametrized models of coherent microstructures, which can under...

In this paper we discuss a set of well established problems in computer animation and computer games that are difficult to solve using currently available methods. Our approach is based on the idea of hybrid modelling that allows us to combine animated polygonal meshes with function representation (FRep) models. Such a hybrid model consists of an a...

The problem considered in this work is to find a dimension independent algorithm for the generation of signed scalar fields exactly representing polygonal objects and satisfying the following requirements: the defining real function takes zero value exactly at the polygonal object boundary; no extra zero-value isosurfaces should be generated; C1 co...

Polygonal models are widely used in computer animation. Static polygonal models are commonly animated using an underlying skeleton controlling the deformation of the mesh. This technique known as skeletal animation allows the artist to produce complex animation sequences in a relatively easy way. However, performing complex transitions between arbi...

We propose a new approach to modelling heterogeneous objects containing internal spatial geometric structures with size of details orders of magnitude smaller than the overall size of the object. The proposed function-based procedural representation provides compact, precise, and arbitrarily parametrized models of coherent microstructures, which ca...

Abstract In this paper, we address shape modelling problems, encountered in computer animation and computer games development that are difficult to solve just using polygonal meshes. Our approach is based on a hybrid-modelling concept that combines polygonal meshes with implicit surfaces. A hybrid model consists of an animated polygonal mesh and an...

It is a digital age, especially for children and students who can be called the world's first truly digital generation. Accordingly a new generation education technology with a particular emphasis on visual thinking and specific computer-based notions and means is emerging. This is a new challenge for computer graphics which is a wide discipline de...

The modern world of computer graphics is mostly dominated by polygonal models. Due to their scalability and ease of rendering such models have various applications in a wide range of fields. Unfortunately some shape modelling and animation problems can hardly be overcome using polygonal models only. For example, dramatic changes of the shape (invol...

The problem considered in this work is to find a dimension independent algorithm for the generation of signed scalar fields exactly representing polygonal objects and satisfying the following requirements: the defining real function takes zero value exactly at the polygonal object boundary; no extra zero-value isosurfaces should be generated; C<sup...

The implicit complex model allows for the representation of heterogeneous objects as multidimensional point sets with multiple attributes, where elements of different dimensions and with attributes of different nature are combined together in a topological structure. In this chapter, we present in detail the underlying function-based model for a ce...

Heterogeneous object modelling is a new and quickly developing research area. This book is one of the first attempts to systematically cover the most relevant themes and problems of this new and challenging subject area. It is a collection of invited papers and papers co-authored by the editors. Each chapter presents either new research results or...

We present a novel approach for modeling heterogeneous objects containing entities of various dimensions and representations within a cellular-functional framework based on the implicit complex notion. We provide a brief formal description for implicit complexes and describe their structure; in particular we describe both the geometry and topology...

The increasing number of applications facilitates the importance of methods and software tools for Web-based shape modeling. These applications include Web authoring, multi-user gaming, distant learning, data visualization, 3D retail environments in e-commerce, collaborative computer-aided design and engineering, and others. Many of these applicati...

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. Then we proceed to present some original methods and tools based on the fu...

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 fra...

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 const...

An abstract is not available.

In this survey, we describe the following different aspects of modeling multidimensional point sets (shapes) using real-valued func- tions of several variables: algebraic system as a formal framework; rep- resentation of shapes, operations, and relations using real-valued func- tions, internal representation of the modeling system; specialized lan-...

The presented approach to discretization of functionally defined heterogeneous objects is oriented towards applications associated with numerical simulation procedures, for example, finite element analysis (FEA). Such applications impose specific constraints upon the resulting surface and volume meshes in terms of their topology and metric characte...

We give an overview of existing digital data structures, the mathematical representation of objects, and the approaches to computer modeling of historical objects of cultural significance. Corresponding problems and solutions with long term archiving of digital data structures, constructive modeling, and a real time interactive display of the cultu...

This paper describes an approach to computer-based sculpting concerned with the creation and modification of digital models based on physical abstract sculptures. The authors begin by presenting a survey of current methods for the creation of computer-based sculpted artifacts. They proceed to present some original methods and tools based on the Fun...

The presented approach to discretization of functionally defined heterogeneous objects is oriented towards applications associated with numerical simulation procedures, for example, finite element analysis (FEA). Such applications impose specific constraints upon the resulting surface and volume meshes in terms of their topology and metric characte...

This paper presents a novel isosurface polygonization algorithm capable of approximating isosurface sharp features. For the scalar field sampled at the nodes of a regular grid, it requires normal vectors to be provided in the intersection points of the isosurface with cell edges. Unlike most of other methods, the sharp features reconstruction is em...

The paper presents an approach to modeling scenes composed of multiple volumes with a possibility of a fast navigation through such a scene as well as interactive editing of volumes in it. This work is oriented towards an artistic application that includes selection and editing of new shapes for further production in real material. The objects are...

An approach to modeling heterogeneous objects as multidimensional point sets with multiple attributes (hypervolumes) is presented. Attributes given at each point represent object properties of arbitrary nature (material, physical, etc.). A proposed theoretical framework is based on a hybrid model of geometry and attributes combining a cellular repr...

This paper presents a project devoted to developing an open system architecture for functionally based (implicit or more generally F-rep) shape modeling and its applications. The software tools are built around the shape models written in a highlevel programming language called HyperFun. A model in HyperFun can serve as a protocol for exchanging F-...

The concept of solid texturing is extended in two directions: constructive modeling of space partitions for texturing and modeling of multidimensional textured objects called hypervolumes. A hypervolume is considered as a point set with attributes of both physical (density, temperature, etc.) and photometric (color, transparency, diffuse and specul...

This paper deals with modeling point sets with attributes. A point set in a geometric space of an arbitrary dimension is a geometric model of a real/abstract object or process under consideration. An attribute is a mathematical model of an object property of arbitrary nature (material, photometric, physical, statistical, etc.) defined at any point...

Function representation (FRep) allows for the construction of quite complex shapes, such as isosurfaces of real-valued functions composed using functionally defined primitives and operations. Calculating such functions in complex cases can be very time-consuming. Interactive extraction and visualization of isosurfaces for them can hardly be imagine...

The concept of solid texturing is extended in two directions: constructive modeling of space partitions for texturing and modeling of multi-dimensional textured objects called hypervolumes. A hypervolume is considered as a point set with attributes of both physical (density, temperature, etc.) and photometric (color, transparency, diffuse and specu...

There are limitations to the current BRep based "model then animate" paradigm when animating time-dependent (dynamic) objects. This paper describes an approach to modeling dynamic objects directly in space-time or even higher dimensional space. The use of the function representation (FRep) is proposed due to the ease with which it handles higher di...

A hybrid volume modeling system architecture is proposed. The key architectural decision of the system design is based on the combination of volume representations by voxel data and by real continuous functions (called FRep). We discuss the concept of the volume model, hybrid voxel-function representation, system input in different forms, and possi...

There are limitations to the current BRep based “model then animate” paradigm when animating time-dependent (dynamic) objects. This paper describes an approach to modeling dynamic objects directly in space-time or even higher dimensional space. The use of the function representation (FRep) is proposed due to the ease with which it handles higher di...

Concepts of functionally based geometric modeling including sets of objects, operations, and relations are discussed. Transformations of a defining real function are described for set-theoretic operations, blending, offsetting, bijective mapping, projection, cartesian products, and metamorphosis. Inclusion, point membership, and intersection relati...

We propose a model for the concurrent engineering process based on an agent-oriented approach. Our modelling approach captures the relationships between the attributes, perceptions and actions of agents. Our model differs from traditional models in that it deals not only with the object being designed, but also with the interaction between the huma...

In this paper we further develop a novel approach for modelling heterogeneous objects containing entities of various dimensions and representations within a cellular-functional framework based on the implicit complex notion. We provide a brief description for implicit complexes and describe their structure including both the geometry and topology o...

We describe how an approach to the development of a shape modeling and visualization framework based on the rapidly progressing function representation can be used 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...

This invited talk describes basics and current developments of an approach to modeling volumetric and multidimensional objects using HyperFun language and associated software (1). HyperFun is a modeling language designed to be a high-level tool suitable for specifying functionally based (F-rep) models (2). While being minimalist, it supports all ma...

In our talk, we describe the following different aspects of modeling multidimensional point sets (shapes) using real-valued functions of several variables: -algebraic system as a formal framework -representation of shapes, operations, and relations using real-valued functions -internal representation and algorithms -specialized language for functio...

The concept of solid texturing is extended in two directions: constructive modeling of space partitions for tex-turing and modeling of multidimensional textured objects called hypervolumes. A hypervolume is considered as a point set with attributes of both physical (density, temperature, etc.) and photometric (color, transparency, dif-fuse and spec...

The paper presents a project called 'HyperJazz' devoted to development and implementation of the 'empirical' ap-proach to solid modelling, which stresses the importance of interactive experiments of the user with the model. The approach is based on two foundations: geometric modelling based on the function representation and denitive program-ming e...