Book Chapter

Parameterization for point cloud spline fitting

  • Sofia Imperatore

In this Chapter, we propose different data-driven parameterization procedures depending on the nature of the input data, whether they consist of point sequences or point clouds, as well as whether they are organized or scattered. CNN are employed for the parameterization learning problem of points on a rectilinear grid; on the other hand, we propose to employ methods from geometric deep learning to properly address the parameterization learning problem for unstructured data configurations.

  • Keywords:
  • Data parameterization,
  • Convolutional Neural Networks,
  • Graph Convolutional neural networks,
  • gridded data,
  • scattered data,
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Sofia Imperatore

Technical University of Eindhoven, Netherlands - ORCID: 0009-0003-9116-9978

PDF
  • Publication Year: 2026
  • Pages: 71-126
  • Content License: CC BY 4.0
  • © 2026 Author(s)

XML
  • Publication Year: 2026
  • Content License: CC BY 4.0
  • © 2026 Author(s)

Chapter Information

Chapter Title

Parameterization for point cloud spline fitting

Authors

Sofia Imperatore

Language

English

DOI

10.36253/979-12-215-1002-7.07

Peer Reviewed

Publication Year

2026

Copyright Information

© 2026 Author(s)

Content License

CC BY 4.0

Metadata License

CC0 1.0

Bibliographic Information

Book Title

Adaptive spline approximation: data-driven parameterization and CAD model (re-)construction

Authors

Sofia Imperatore

Peer Reviewed

Number of Pages

196

Publication Year

2026

Copyright Information

© 2026 Author(s)

Content License

CC BY 4.0

Metadata License

CC0 1.0

Publisher Name

Firenze University Press

DOI

10.36253/979-12-215-1002-7

ISBN Print

979-12-215-1001-0

eISBN (pdf)

979-12-215-1002-7

eISBN (xml)

979-12-215-1003-4

Series Title

Premio Tesi di Dottorato Città di Firenze

Series ISSN

3103-3881

Series E-ISSN

3103-3989

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