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Method for modeling three dimensional shape of objects using level set solutions on partial differential equation derived from helmholtz reciprocity condition

机译:基于亥姆霍兹互易条件的偏微分方程的水平集解对物体三维形状建模的方法

摘要

A method for modeling a three dimensional shape of object using a level set solution on a partial differential equation derived from a Helmholtz reciprocity condition is provided. The method includes the steps of: a) inputting an image pair satisfying a Helmholtz reciprocity condition; b) performing an optical correction and simultaneously performing a geometric correction; c) performing a camera selection to select cameras capable of seeing a point (X, Y, Z), and defining and calculating a cost function by the Helmholtz reciprocity condition; d) calculating a speed function of a PDE that minimizes the cost function obtained in the step c); and e) generating a three dimension mesh model from a set of points configuring the object surface provided from the step d), and deciding a final three dimension mesh model by comparing cost function values.
机译:提供了一种用于基于从亥姆霍兹互易条件导出的偏微分方程的水平集解来对物体的三维形状建模的方法。该方法包括以下步骤:a)输入满足亥姆霍兹互易条件的图像对; b)进行光学校正并同时进行几何校正; c)执行摄像机选择,以选择能够看到一个点(X,Y,Z)的摄像机,并根据亥姆霍兹互易条件定义和计算成本函数; d)计算最小化在步骤c)中获得的成本函数的PDE的速度函数; e)从构成步骤d)提供的物体表面的一组点生成三维网格模型,并通过比较成本函数值确定最终的三维网格模型。

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