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TRANSMITTING DATA TO MODEL 3D OBJECTS AS SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS

机译:将数据传输到3D对象模型作为偏微分方程的解决方案

摘要

A surface patch of a 3D object (10) is represented by storing curve data (510) for a plurality of control curves (20) which act as boundary conditions to a partial differential equation (PDE) . Solving the PDE for the boundary conditions given by the control curves (20) accurately provides the PDE surface patch. Each of the control curves (20) is stored such as by Fourier coefficients or as coefficients of a finite Fourier series together with a difference vector field (R) . Optionally, the surface patch is also represented with a spine S stored as curve data such as polynomial coefficients.
机译:通过存储用于多个控制曲线(20)的曲线数据(510)来表示3D对象(10)的表面补丁,所述多个控制曲线用作偏微分方程(PDE)的边界条件。根据控制曲线(20)给出的边界条件求解PDE,可以准确地提供PDE表面补丁。每个控制曲线(20)例如通过傅立叶系数或作为有限傅立叶级数的系数与差矢量场(R)一起存储。可选地,表面斑块还由脊S表示,脊S作为曲线数据(例如多项式系数)存储。

著录项

  • 公开/公告号WO2006082395A1

    专利类型

  • 公开/公告日2006-08-10

    原文格式PDF

  • 申请/专利权人 UNIVERSITY OF BRADFORD;UGAIL HASSAN;

    申请/专利号WO2006GB00337

  • 发明设计人 UGAIL HASSAN;

    申请日2006-02-01

  • 分类号G06T17/30;

  • 国家 WO

  • 入库时间 2022-08-21 21:29:52

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