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    ARTICLE

    A Fast and Memory-Efficient Direct Rendering Method for Polynomial-Based Implicit Surfaces

    Jiayu Ren1,*, Susumu Nakata2

    CMES-Computer Modeling in Engineering & Sciences, Vol.141, No.2, pp. 1033-1046, 2024, DOI:10.32604/cmes.2024.054238

    Abstract Three-dimensional surfaces are typically modeled as implicit surfaces. However, direct rendering of implicit surfaces is not simple, especially when such surfaces contain finely detailed shapes. One approach is ray-casting, where the field of the implicit surface is assumed to be piecewise polynomials defined on the grid of a rectangular domain. A critical issue for direct rendering based on ray-casting is the computational cost of finding intersections between surfaces and rays. In particular, ray-casting requires many function evaluations along each ray, severely slowing the rendering speed. In this paper, a method is proposed to achieve direct More >

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