Sheaf-Theoretic/Bayesian Approach for Shape Representation

机译：形状表示的sheaf-Theoretic / Bayesian方法

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A point to surface matching algorithm for purposes of matching 3D point cloud data to CAD models is developed. By discretization of the unknown transformation parameters and using assignment correspondence modeling the resulting objective function is a multilinear programming problem with decoupled linear constraints. Mathematics software for the optimization algorithm and model setup is provided. The inputs for this code are the CAD models and point cloud 3D data.

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作者
Sturtz, K.;
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年度 2010
页码 1-72
总页数 72
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Bayes theorem ; Transformations(Mathematics) ; Matching ; Algorithms ; Shape ; Three dimensional ; Surfaces ; Target recognition ; Computer aided design ; Mathematical models ; Computer programs ; Linear programming;

机译：贝叶斯定理;变换（数学）;匹配;算法;形状;三维;曲面;目标识别;计算机辅助设计;数学模型;计算机程序;线性规划;

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1. Sheaf-theoretic representation of quantum measure algebras [J] . Zafiris E Journal of Mathematical Physics . 2006,第9期

机译：量子测度代数的Sheap-理论表示
2. Sheaf-theoretic representation of quantum measure algebras [J] . Zafiris E Journal of Mathematical Physics . 2006,第9期

机译：量子测度代数的Sheap-理论表示
3. A Sheaf-Theoretic Approach to the Equivariant Serre Spectral Sequence [J] . Honkasalo Hannu Journal of mathematical sciences, The University of Tokyo . 1997,第1期

机译：等距序列谱的Sheaf理论方法
4. Infinite ShapeOdds: Nonparametric Bayesian Models for Shape Representations [C] . Wei Xing, Shireen Elhabian, Robert M. Kirby, AAAI Conference on Artificial Intelligence . 2020

机译：无限换档：非参数贝叶斯模型的形状表示
5. Shape Perception as Bayesian Inference of Modality-Independent Part-Based 3D Object-Centered Shape Representations [D] . Erdogan, Goker. 2017

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6. OPTIMAL PARAMETER MAP ESTIMATION FOR SHAPE REPRESENTATION: A GENERATIVE APPROACH [O] . Shireen Y. Elhabian, Praful Agrawal, Ross T. Whitaker -1

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7. An integrated Bayesian approach to shape representation and perceptual organization [O] . Jacob Feldman, Manish Singh, Erica Briscoe, 2013

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Sheaf-Theoretic/Bayesian Approach for Shape Representation

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