Polynomial Reconstruction of 3D sampled Curves Using Auxiliary Surface Data

Fredrik Bagge Carlson; Ngoc Dung Vuong; Rolf Johansson

doi:10.1109/ICRA.2014.6907502

Polynomial Reconstruction of 3D sampled Curves Using Auxiliary Surface Data

Fredrik Bagge Carlson, Ngoc Dung Vuong, Rolf Johansson

Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

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Abstract

This paper proposes a method for structural enhancement of a 3D sampled curve. The curve is assumed to be organized, but corrupted with low frequency noise. The proposed method approaches the notion of curve reconstruction in a novel way, where information about the structure in a scanned surface is used to reconstruct the curve. Principal Component Analysis is carried out on successive neighborhoods along the curve to estimate reduced dimensionality spaces, which allows polynomial reconstruction. The effectiveness of the proposed method is verified by both simulations and experiments.

Original language	English
Title of host publication	2014 IEEE International Conference on Robotics and Automation (ICRA)
Publisher	IEEE - Institute of Electrical and Electronics Engineers Inc.
DOIs	https://doi.org/10.1109/ICRA.2014.6907502
Publication status	Published - 2014
Event	IEEE International Conference on Robotics and Automation, 2014 - Hong-Kong, China Duration: 2014 Jun 2 → 2014 Jun 4

Conference

Conference	IEEE International Conference on Robotics and Automation, 2014
Country/Territory	China
City	Hong-Kong
Period	2014/06/02 → 2014/06/04

Subject classification (UKÄ)

Control Engineering

Free keywords

Polynomial reconstruction
3D sampled curve
point cloud
smoothing

Access to Document

10.1109/ICRA.2014.6907502

ICRA2014paperAccepted author manuscript, 918 KB

RobotLab LTH
Bagge Carlson, F. (Researcher), Johansson, R. (Researcher), Karlsson, M. (Researcher), Olofsson, B. (Researcher), Robertsson, A. (Researcher), Robertz, S. (Researcher), Haage, M. (Researcher), Malec, J. (Researcher), Nilsson, K. (Researcher), Nugues, P. (Researcher), Stenmark, M. (Researcher), Topp, E. A. (Researcher), Krueger, V. (Researcher), Åström, H. (Researcher), Mayr, M. (Researcher), Salt Ducaju, J. (Researcher), Nishimura, M. (Administrator), Wisbrant, J. (Project communication officer), Dürr, A. (Researcher), Mayr, M. (Researcher), Nugues, P. (Researcher), Klang, M. (Research engineer), Klöckner, M. (Researcher), Nardi, L. (Researcher), Ahmad, F. (Researcher), Oxenstierna, J. (Researcher), Rizwan, M. (Researcher), Reichenbach, C. (Researcher), Bergström, J. (Researcher), Dell'Unto, N. (Researcher), Maunsbach, L. (Researcher), Åström, K. (Researcher), Blomdell, A. (Research engineer), Magnusson, M. (Researcher), Fransson, P.-A. (Researcher), Karayiannidis, Y. (Researcher), Johansson, A. T. (Researcher), Jia, Z. (Researcher), Laban, L. (Researcher), Wingqvist, B. (Researcher), Guberina, M. (Researcher), Jena, A. (Researcher), Westin, E. (Administrator), Frick, C. (Administrator), Pisarevskiy, A. (Research engineer), Nilsson, A. (Research engineer), Reitmann, S. (Researcher), Hvarfner, C. (Researcher), Stoltenberg, P. (Researcher) & Fregnan, S. (Researcher)
1993/01/01 → …
Project: Research

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Krueger, V. (Manager), Olofsson, B. (Manager), Karayiannidis, Y. (Manager), Haage, M. (Manager), Malec, J. (Manager) & Topp, E. A. (Manager)
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Cite this

@inproceedings{2ab5fef36ed948938848dfd66f4dd078,

title = "Polynomial Reconstruction of 3D sampled Curves Using Auxiliary Surface Data",

abstract = "This paper proposes a method for structural enhancement of a 3D sampled curve. The curve is assumed to be organized, but corrupted with low frequency noise. The proposed method approaches the notion of curve reconstruction in a novel way, where information about the structure in a scanned surface is used to reconstruct the curve. Principal Component Analysis is carried out on successive neighborhoods along the curve to estimate reduced dimensionality spaces, which allows polynomial reconstruction. The effectiveness of the proposed method is verified by both simulations and experiments.",

keywords = "Polynomial reconstruction, 3D sampled curve, point cloud, smoothing",

author = "{Bagge Carlson}, Fredrik and Vuong, {Ngoc Dung} and Rolf Johansson",

year = "2014",

doi = "10.1109/ICRA.2014.6907502",

language = "English",

booktitle = "2014 IEEE International Conference on Robotics and Automation (ICRA)",

publisher = "IEEE - Institute of Electrical and Electronics Engineers Inc.",

address = "United States",

note = "IEEE International Conference on Robotics and Automation, 2014 ; Conference date: 02-06-2014 Through 04-06-2014",

}

Bagge Carlson, F, Vuong, ND & Johansson, R 2014, Polynomial Reconstruction of 3D sampled Curves Using Auxiliary Surface Data. in 2014 IEEE International Conference on Robotics and Automation (ICRA). IEEE - Institute of Electrical and Electronics Engineers Inc., IEEE International Conference on Robotics and Automation, 2014, Hong-Kong, China, 2014/06/02. https://doi.org/10.1109/ICRA.2014.6907502

Polynomial Reconstruction of 3D sampled Curves Using Auxiliary Surface Data. / Bagge Carlson, Fredrik; Vuong, Ngoc Dung; Johansson, Rolf.
2014 IEEE International Conference on Robotics and Automation (ICRA). IEEE - Institute of Electrical and Electronics Engineers Inc., 2014.

Research output: Chapter in Book/Report/Conference proceeding › Paper in conference proceeding › peer-review

TY - GEN

T1 - Polynomial Reconstruction of 3D sampled Curves Using Auxiliary Surface Data

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AU - Vuong, Ngoc Dung

AU - Johansson, Rolf

PY - 2014

Y1 - 2014

N2 - This paper proposes a method for structural enhancement of a 3D sampled curve. The curve is assumed to be organized, but corrupted with low frequency noise. The proposed method approaches the notion of curve reconstruction in a novel way, where information about the structure in a scanned surface is used to reconstruct the curve. Principal Component Analysis is carried out on successive neighborhoods along the curve to estimate reduced dimensionality spaces, which allows polynomial reconstruction. The effectiveness of the proposed method is verified by both simulations and experiments.

AB - This paper proposes a method for structural enhancement of a 3D sampled curve. The curve is assumed to be organized, but corrupted with low frequency noise. The proposed method approaches the notion of curve reconstruction in a novel way, where information about the structure in a scanned surface is used to reconstruct the curve. Principal Component Analysis is carried out on successive neighborhoods along the curve to estimate reduced dimensionality spaces, which allows polynomial reconstruction. The effectiveness of the proposed method is verified by both simulations and experiments.

KW - Polynomial reconstruction

KW - 3D sampled curve

KW - point cloud

KW - smoothing

U2 - 10.1109/ICRA.2014.6907502

DO - 10.1109/ICRA.2014.6907502

M3 - Paper in conference proceeding

BT - 2014 IEEE International Conference on Robotics and Automation (ICRA)

PB - IEEE - Institute of Electrical and Electronics Engineers Inc.

T2 - IEEE International Conference on Robotics and Automation, 2014

Y2 - 2 June 2014 through 4 June 2014

ER -

Polynomial Reconstruction of 3D sampled Curves Using Auxiliary Surface Data

Abstract

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