MCS: Reconstructing and Inferring Topology and Geometry from Point Cloud Data
MCS:从点云数据重建和推断拓扑和几何形状
基本信息
- 批准号:0915996
- 负责人:
- 金额:$ 42万
- 依托单位:
- 依托单位国家:美国
- 项目类别:Standard Grant
- 财政年份:2009
- 资助国家:美国
- 起止时间:2009-09-01 至 2013-08-31
- 项目状态:已结题
- 来源:
- 关键词:
项目摘要
Point cloud data (PCD) is pervasive across numerous areas in science and engineering. This project addresses two issues, namely reconstruction in three dimension and inference from PCD in high dimensions. In reconstruction, the problem of approximating a three dimensional shape from its PCD is considered. This problem becomes hopeless from computational view point for shapes sitting in high dimensional spaces. Here, the project focuses on inferring topological and geometric properties of the hidden object from its sampled representation rather than reconstructing it completely.A successful implementation of this project will enable many areas of science and engineering to enhance their scope in modeling, analyzing, prototyping, and visualizing input data with assurance of accuracy. Designing machine parts in automotive industry, creating virtual environments with buildings, simulating cracks and shocks in scientific studies are few examples where new algorithms are needed for reconstructing shapes in presence of non-smoothness. This will be addressed in the reconstruction section of the project. Various scientific and social studies such as the ones in medicine, economics, climate, disease control produce data that presumably sample a hidden parameter space (a manifold). They will benefit from the research on the topology and geometry inference section of the project.
点云数据(PCD)在科学和工程的许多领域都很普遍。该项目主要解决两个问题,即三维重建和从高维PCD推断。 在重建中,考虑了从PCD近似三维形状的问题。从计算的角度来看,对于位于高维空间中的形状来说,这个问题变得毫无希望。 该项目的成功实施将使许多科学和工程领域在保证准确性的前提下,在建模、分析、原型设计和可视化输入数据等方面得到更大的发展。在汽车工业中设计机器零件,在建筑物中创建虚拟环境,在科学研究中模拟裂缝和冲击,这些都是需要新算法来重建非光滑形状的例子。 这将在项目的重建部分加以解决。各种科学和社会研究,如医学、经济学、气候、疾病控制等,产生的数据可能会对隐藏的参数空间(流形)进行采样。他们将受益于该项目的拓扑和几何推理部分的研究。
项目成果
期刊论文数量(0)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)
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Tamal Dey其他文献
Predicting the optimum harvesting dates for different exotic apple varieties grown under North Western Himalayan regions through acoustic and machine vision techniques.
- DOI:
10.1016/j.fochx.2023.100754 - 发表时间:
2023-10-30 - 期刊:
- 影响因子:6.1
- 作者:
Nazrana Rafique Wani;Syed Zameer Hussain;Gopinath Bej;Bazila Naseer;Mushtaq Beigh;Ufaq Fayaz;Tamal Dey;Abhra Pal;Amitava Akuli;Alokesh Ghosh;B.S. Dhekale;Fehim J. Wani - 通讯作者:
Fehim J. Wani
Emergence of an unconventional Enterobacter cloacae-derived Iturin A C-15 as a potential therapeutic agent against methicillin-resistant Staphylococcus aureus
- DOI:
10.1007/s00203-024-04226-7 - 发表时间:
2024-12-30 - 期刊:
- 影响因子:2.600
- 作者:
Dipro Mukherjee;Samya Sen;Aniket Jana;Surojit Ghosh;Moumita Jash;Monika Singh;Satyajit Ghosh;Nabanita Mukherjee;Rajsekhar Roy;Tamal Dey;Shankar Manoharan;Surajit Ghosh;Jayita Sarkar - 通讯作者:
Jayita Sarkar
Tamal Dey的其他文献
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{{ truncateString('Tamal Dey', 18)}}的其他基金
Collaborative Research: Multiparameter Topological Data Analysis
合作研究:多参数拓扑数据分析
- 批准号:
2301360 - 财政年份:2023
- 资助金额:
$ 42万 - 项目类别:
Continuing Grant
AF: Small: Expanding the Reach of Topological Data Analysis
AF:小:扩大拓扑数据分析的范围
- 批准号:
2049010 - 财政年份:2020
- 资助金额:
$ 42万 - 项目类别:
Standard Grant
AF: Small: Expanding the Reach of Topological Data Analysis
AF:小:扩大拓扑数据分析的范围
- 批准号:
2007961 - 财政年份:2020
- 资助金额:
$ 42万 - 项目类别:
Standard Grant
AF: Small: Topological Data Analysis for Big and High Dimensional Data
AF:小:大维和高维数据的拓扑数据分析
- 批准号:
1318595 - 财政年份:2013
- 资助金额:
$ 42万 - 项目类别:
Standard Grant
AF: Medium: Collaborative Research: Optimality in Homology - Algorithms and Applications
AF:媒介:协作研究:同调中的最优性 - 算法和应用
- 批准号:
1064416 - 财政年份:2011
- 资助金额:
$ 42万 - 项目类别:
Continuing Grant
AF: Small: Analyzing Spaces and Scalar Fields via Point Clouds
AF:小:通过点云分析空间和标量场
- 批准号:
1116258 - 财政年份:2011
- 资助金额:
$ 42万 - 项目类别:
Standard Grant
Inferring Topology and Geometry for Dynamic Shapes
推断动态形状的拓扑和几何形状
- 批准号:
0830467 - 财政年份:2008
- 资助金额:
$ 42万 - 项目类别:
Standard Grant
Collaborative Research: Non-smoothness in Meshing and Reconstruction
协作研究:网格划分和重构中的非平滑性
- 批准号:
0635008 - 财政年份:2006
- 资助金额:
$ 42万 - 项目类别:
Continuing Grant
Implementation-friendly Geometric Algorithms for Provable Surface and Volume Meshing
用于可证明表面和体积网格划分的易于实施的几何算法
- 批准号:
0430735 - 财政年份:2004
- 资助金额:
$ 42万 - 项目类别:
Standard Grant
Postdoctoral: Sampling Based Geometric Modeling
博士后:基于采样的几何建模
- 批准号:
0102280 - 财政年份:2001
- 资助金额:
$ 42万 - 项目类别:
Standard Grant
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