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Topological Data Analysis-friendly CAD/3D point cloud dataset [P]

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Hello everyone, I’m seeking a suitable 3D point cloud or CAD/mesh dataset for a research project focused on comparing Topological Data Analysis (TDA) with traditional preprocessing methods. The study will evaluate classification accuracy after applying various perturbations, such as Gaussian noise and random point deletion. Ideally, I need a dataset featuring classes with distinct topological structures, such as spheres versus toroidal shapes, and ample samples (600+) for robust analysis.

The quest for a suitable 3D point cloud dataset for Topological Data Analysis (TDA) research, as outlined in the recent inquiry, underscores a growing intersection between advanced data techniques and practical applications. The author seeks to compare TDA with traditional preprocessing methods under various perturbations, aiming to evaluate classification accuracy in downstream models. This endeavor not only highlights the importance of robust datasets in machine learning but also serves as a reminder of the challenges researchers face in sourcing high-quality data. As noted in a recent piece, Conditional formatting for specific character count, the intricacies of data management are central to effective analysis, whether in 3D modeling or spreadsheet management.

What stands out in this request is the emphasis on the topological characteristics of the data classes. The author is looking for datasets where the classes exhibit significant differences in their topological structure, such as the number of holes or loops. This specificity reflects a deeper understanding of the analytical capabilities of TDA, which excels in revealing hidden patterns within complex data. The mention of objects like spheres versus toruses illustrates how nuanced the distinctions can be, making the case for datasets that not only contain sufficient samples but also present meaningful topological variation. In essence, the success of TDA hinges on the quality of the datasets utilized, aligning with the broader narrative of data integrity emphasized in discussions such as Your AI Use Is Breaking My Brain: Why 10 Minutes of Prompting Fries Us.

The inquiry also raises pertinent questions about the availability of suitable CAD repositories or synthetic dataset generators. As the landscape of 3D modeling and machine learning continues to evolve, the demand for accessible, high-quality datasets will only increase. Researchers and practitioners alike will benefit from a collaborative approach, sharing insights and resources to overcome common hurdles. The suggestion to explore benchmark datasets is particularly noteworthy, as these repositories often provide a reliable starting point for researchers looking to validate their methodologies against established standards.

Looking ahead, the exploration of TDA as a preprocessing technique in comparison to standard methods is particularly relevant in an era where data-driven decision-making is paramount. The outcomes of this research could pave the way for enhanced accuracy in classification tasks across various domains, from autonomous systems to healthcare analytics. As we observe the developments in this field, it will be fascinating to see how TDA evolves and how it will influence future data management approaches. The intersection of innovation and practicality remains a crucial focus, challenging us to continually redefine what is possible in data analysis. The answer to the question of dataset availability may not just lie in existing resources but also in fostering a community that prioritizes collaboration and knowledge sharing.

Hi everyone,

I’m looking for a suitable 3D point cloud dataset — or a CAD/mesh dataset from which I can sample point clouds — for a small research/report project.

The goal is to compare Topological Data Analysis (TDA) as a preprocessing / feature extraction method against more standard 3D point cloud preprocessing methods, under different perturbations such as:

  • Gaussian jitter / noise
  • random point deletion / subsampling
  • small deformations
  • scaling / rotations
  • outliers or other synthetic corruptions

The comparison would be based on the classification accuracy of a downstream model after preprocessing.

I do not necessarily need many classes. Even a binary classification dataset would be enough. What matters most is that the classes should differ in their topological structure, ideally in the number of holes / loops / cavities, so that TDA has a meaningful signal to detect.

For example, something like:

  • sphere / ball-like objects vs torus / ring-like objects
  • solid object vs object with a tunnel
  • objects with different numbers of handles or holes

Ideally, each class should contain many samples (600+), or the dataset should contain enough CAD/mesh models so that I can sample many point clouds from them.

Does anyone know of a dataset that fits this description? I would also appreciate suggestions for CAD repositories, synthetic dataset generators, or benchmark datasets where such class pairs could be extracted.

Thanks!

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