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Direct and Fast Ray Tracing of NURBS Surfaces | IEEE ...

    https://ieeexplore.ieee.org/document/4061558/
    In this work we present a fast, efficient and robust algorithm to ray trace trimmed NURBS surfaces of arbitrary degree. Furthermore, our approach is largely independent of the number of control points of a surface with respect to the rendering performance. Additionally the degree and the number of control points of a surface do not influence ...

(PDF) Direct and fast ray tracing of NURBS surfaces

    https://www.researchgate.net/publication/232644373_Direct_and_fast_ray_tracing_of_NURBS_surfaces
    To find the intersection. of a surface S ( u, v) and a ray, we ha ve to find the roots of. R ( u, v) = N 1 S ( u, v) + d 1. N 2 S ( u, v) + d 2 (4) R becoming zero …

Direct and Fast Ray Tracing of NURBS Surfaces

    https://apps.fz-juelich.de/jsc-pubsystem/aigaion/attachments/abert_ea2006nurbs.pdf-e6c31ac58695423b6f5786ec8f8a7774.pdf
    teractive ray tracing itself was presented just lately. Approaches in both fields will be discussed briefly in this section. 2.1 Free-Form Surface Ray Tracing The pioneering work in the field of free-form surface ray tracing waspresentedbyToth[24]andKajiya[13]. Theformerwasfirstto employ an iterative Newton approach to find a ray-surface ...

Direct and Fast Ray Tracing of NURBS Surfaces

    https://www.infona.pl/resource/bwmeta1.element.ieee-art-000004061558
    In this work we present a fast, efficient and robust algorithm to ray trace trimmed NURBS surfaces of arbitrary degree. Furthermore, our approach is largely independent of the number of control points of a surface with respect to the rendering performance. Additionally the degree and the number of control points of a surface do not influence ...

Fast ray tracing NURBS surfaces | SpringerLink

    https://link.springer.com/article/10.1007/BF02943518
    In this paper, a new algorithm with extrapolation process for computing the ray/surface intersection is presented. Also, a ray is defined to be the intersection of two planes, which are non-orthogonal in general, in such a way that the number of multiplication operations is reduced. In the preprocessing step, NURBS surfaces are subdivided adaptively into rational Bézier …

CiteSeerX — Abstract Direct and Fast Ray Tracing of …

    https://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.90.7500
    The desired high performance is achieved by taking a novel approach of surface evaluation, which requires only minimal preprocessing. ... {Abstract Direct and Fast Ray Tracing of NURBS Surfaces}, year = {}} Share. OpenURL . Abstract. Recently it has been shown that Bézier surfaces can be used as a geometric primitive for interactive ray ...

A new method for speeding up ray tracing NURBS …

    https://www.sciencedirect.com/science/article/pii/S0097849397872639
    In this paper, a new method for computing the intersection of a ray and a NURBS surface is presented. The method is based on Newton iteration for a system of nonlinear equations, but its convergence is accelerated by using the polynomial extrapolation. ... Arvo, J., Kirk, D. Fast ray tracing by ray classification. 92 Computer Graphics, 1987, 21 ...

(PDF) Efficient Ray Tracing of Trimmed NURBS Surfaces

    https://www.researchgate.net/publication/246034454_Efficient_Ray_Tracing_of_Trimmed_NURBS_Surfaces
    Lately, an approach to efficiently ray trace trimmed NURBS surfaces was presented in [6] [5]. Though Efremov et al. implemented a robust and numerically stable …

Direct and Fast Ray Tracing of NURBS Surfaces - CORE

    https://core.ac.uk/display/34935330
    Download PDF: Sorry, we are unable to provide the full text but you may find it at the following location(s): http://juser.fz-juelich.de/sea... (external link) http ...

(PDF) Ray tracing of optical systems using NURBS surfaces

    https://www.researchgate.net/publication/230965186_Ray_tracing_of_optical_systems_using_NURBS_surfaces
    Ray tracing of optical systems using. NURBS surfaces. Davide Bianchi, Manuel Sánchez del Río and Claudio Ferr ero. European Synchrotron Radiation Facility, BP 220, F-38043 Grenoble Cede x ...

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