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Now showing 1 - 4 of 4
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    Artistic Surface Rendering Using Layout of Text
    (Blackwell Publishers Ltd and the Eurographics Association, 2002) Surazhsky, Tatiana; Elber, Gershon
    An artistic rendering method of free-form surfaces with the aid of half-toned text that is laid-out on the given surface is presented. The layout of the text is computed using symbolic composition of the free-form parametric surface S(u, v) with cubic or linear Bezier curve segments C(t) = cu (t), cv (t), comprising the outline of the text symbols. Once the layout is constructed on the surface, a shading process is applied to the text, affecting the width of the symbols as well as their color, according to some shader function. The shader function depends on the surface orientation and the view direction as well as the color and the direction or position of the light source.
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    Efficient Minimum Distance Computation for Solids of Revolution
    (The Eurographics Association and John Wiley & Sons Ltd., 2020) Son, Sang-Hyun; Yoon, Seung-Hyun; Kim, Myung-Soo; Elber, Gershon; Panozzo, Daniele and Assarsson, Ulf
    We present a highly efficient algorithm for computing the minimum distance between two solids of revolution, each of which is defined by a planar cross-section region and a rotation axis. The boundary profile curve for the cross-section is first approximated by a bounding volume hierarchy (BVH) of fat arcs. By rotating the fat arcs around the axis, we generate the BVH of fat tori that bounds the surface of revolution. The minimum distance between two solids of revolution is then computed very efficiently using the distance between fat tori, which can be boiled down to the minimum distance computation for circles in the three-dimensional space. Our circle-based approach to the solids of revolution has distinctive features of geometric simplification. The main advantage is in the effectiveness of our approach in handling the complex cases where the minimum distance is obtained in non-convex regions of the solids under consideration. Though we are dealing with a geometric problem for solids, the algorithm actually works in a computational style similar to that of handling planar curves. Compared with conventional BVH-based methods, our algorithm demonstrates outperformance in computing speed, often 10-100 times faster. Moreover, the minimum distance can be computed very efficiently for the solids of revolution under deformation, where the dynamic reconstruction of fat arcs dominates the overall computation time and takes a few milliseconds.
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    Variable Offsets and Processing of Implicit Forms Toward the Adaptive Synthesis and Analysis of Heterogeneous Conforming Microstructure
    (The Eurographics Association and John Wiley & Sons Ltd., 2024) Hong, Q. Youn; Antolin, Pablo; Elber, Gershon; Kim, Myung-Soo; Chen, Renjie; Ritschel, Tobias; Whiting, Emily
    The synthesis of porous, lattice, or microstructure geometries has captured the attention of many researchers in recent years. Implicit forms, such as triply periodic minimal surfaces (TPMS) has captured a significant attention, recently, as tiles in lattices, partially because implicit forms have the potential for synthesizing with ease more complex topologies of tiles, compared to parametric forms. In this work, we show how variable offsets of implicit forms could be used in lattice design as well as lattice analysis, while graded wall and edge thicknesses could be fully controlled in the lattice and even vary within a single tile. As a result, (geometrically) heterogeneous lattices could be created and adapted to follow analysis results while maintaining continuity between adjacent tiles. We demonstrate this ability on several 3D models, including TPMS.
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    Erratum: Artistic Surface Rendering Using Layout of Text
    (Blackwell Publishers, Inc and the Eurographics Association, 2002) Surazhsky, Tatiana; Elber, Gershon