LAPACK library for mathematical modeling used in 3D object reconstruction

Q4 Mathematics
Bianca Lixandru, V. Monescu
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引用次数: 0

Abstract

Over time, multiple solutions have been sought for building 3D models in the fastest and most accurate way possible. For this reason, this article proposes the use of LAPACK library for a quick solution of linear systems generated by least square method calculation. A mathematical and physical component used in the reconstruction of models consists in the use of Spherical Harmonics which represent some special functions often used in solving partial differential equations in different scientific areas. This problem finds its place in multiple domains such as medicine, engineering, programming. The target of the work described by this paper is to achieve optimization in the reconstruction of 3D models. We aim to perform real-time model reconstruction for large data sets by using Spherical Harmonics functions.
LAPACK库用于三维对象重建的数学建模
随着时间的推移,已经寻求了多种解决方案,以最快和最准确的方式构建3D模型。为此,本文提出使用LAPACK库对最小二乘法计算生成的线性系统进行快速求解。在模型重建中使用的数学和物理组成部分包括使用球谐波,球谐波表示在不同科学领域中经常用于求解偏微分方程的一些特殊函数。这个问题在医学、工程、编程等多个领域都存在。本文所描述的工作目标是在三维模型重建中实现优化。我们的目标是利用球面谐波函数对大数据集进行实时模型重建。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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CiteScore
0.30
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0.00%
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