Rational supershapes for surface reconstruction

Y. D. Fougerolle, A. Gribok, Sebti Foufou, F. Truchetet, M. A. Abidi

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Abstract

    Simple representation of complex 3D data sets is a fundamental problem in computer vision. From a quality control perspective, it is crucial to use efficient and simple techniques do define a reference model for further recognition or comparison tasks. In this paper, we focus on reverse engineering 3D data sets by recovering rational supershapes to build an implicit function to represent mechanical parts. We derive existing techniques for superquadrics recovery to the supershapes and we adapt the concepts introduced for the ratioquadrics to introduce the rational supershapes. The main advantage of rational supershapes over standard supershapes is that the radius is now expressed as a rational fraction instead of sums and compositions of powers of sines and cosines, which allows simpler and faster computations during the optimization process. We present reconstruction results of complex 3D data sets that are represented by an implicit equation with a small number of parameters that can be used to build an error measure.

    Original languageEnglish (US)
    Title of host publicationEighth International Conference on Quality Control by Artificial Vision
    Volume6356
    DOIs
    StatePublished - Nov 1 2007
    Event8th International Conference on Quality Control by Artificial Vision - Le Creusot, France
    Duration: May 23 2007May 25 2007

    Other

    Other8th International Conference on Quality Control by Artificial Vision
    CountryFrance
    CityLe Creusot
    Period5/23/075/25/07

    Fingerprint

    Surface Reconstruction
    Surface reconstruction
    Reverse engineering
    Computer vision
    Quality control
    reverse engineering
    Recovery
    computer vision
    quality control
    Chemical analysis
    recovery
    Implicit Function
    optimization
    radii
    Reverse Engineering
    Reference Model
    Quality Control
    Process Optimization
    Computer Vision
    Radius

    ASJC Scopus subject areas

    • Electronic, Optical and Magnetic Materials
    • Condensed Matter Physics
    • Computer Science Applications
    • Applied Mathematics
    • Electrical and Electronic Engineering

    Cite this

    Fougerolle, Y. D., Gribok, A., Foufou, S., Truchetet, F., & Abidi, M. A. (2007). Rational supershapes for surface reconstruction. In Eighth International Conference on Quality Control by Artificial Vision (Vol. 6356). [63560M] https://doi.org/10.1117/12.736916

    Rational supershapes for surface reconstruction. / Fougerolle, Y. D.; Gribok, A.; Foufou, Sebti; Truchetet, F.; Abidi, M. A.

    Eighth International Conference on Quality Control by Artificial Vision. Vol. 6356 2007. 63560M.

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Fougerolle, YD, Gribok, A, Foufou, S, Truchetet, F & Abidi, MA 2007, Rational supershapes for surface reconstruction. in Eighth International Conference on Quality Control by Artificial Vision. vol. 6356, 63560M, 8th International Conference on Quality Control by Artificial Vision, Le Creusot, France, 5/23/07. https://doi.org/10.1117/12.736916
    Fougerolle YD, Gribok A, Foufou S, Truchetet F, Abidi MA. Rational supershapes for surface reconstruction. In Eighth International Conference on Quality Control by Artificial Vision. Vol. 6356. 2007. 63560M https://doi.org/10.1117/12.736916
    Fougerolle, Y. D. ; Gribok, A. ; Foufou, Sebti ; Truchetet, F. ; Abidi, M. A. / Rational supershapes for surface reconstruction. Eighth International Conference on Quality Control by Artificial Vision. Vol. 6356 2007.
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