Browsing by Author "Tereshin, Alexander"

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    Hybrid Function Representation with Distance Properties
    (The Eurographics Association, 2019) Tereshin, Alexander; Adzhiev, Valery; Fryazinov, Oleg; Pasko, Alexander; Cignoni, Paolo and Miguel, Eder
    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 of the Function Representation (FRep) and Signed Distance Fields (SDFs) without their drawbacks. This new representation allows for obtaining a continuous smooth distance field in the Euclidean space for the FRep. We present the mathematical basics for our approach that uses the Discrete Distance Transform (DDT) and a step-function. The procedure for generation HFRep using continuous interpolation and smoothing techniques are also described. A few examples show how the approach works in practice.
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    Space-Time Blending for Heterogeneous Objects
    (The Eurographics Association, 2020) Tereshin, Alexander; Anderson, Eike; Pasko, Alexander; Adzhiev, Valery; Wilkie, Alexander and Banterle, Francesco
    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 geometry transformation, is naturally combined with space-time transfinite interpolation, used for attribute (e.g. colour) transformation. Geometry and attribute transformations are interconnected and happen simultaneously in an higher dimensional specific STB space. We use hybrid function representation, unifying function representation with signed distance fields and with adaptively sampled distance fields. We show how the new method works by applying it to 4D animated Cubism.