Young-Laplace Equation

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Michael Unser - One of the best experts on this subject based on the ideXlab platform.

  • Low-bond axisymmetric drop shape analysis for surface tension and contact angle measurements of sessile drops
    Colloids and Surfaces A: Physicochemical and Engineering Aspects, 2020
    Co-Authors: Aurélien F. Stalder, Tobias Melchior, Daniel Sage, Michael Müller, Michael Unser
    Abstract:

    A new method based on the Young-Laplace Equation for measuring contact angles and surface tensions is presented. In this approach, a first-order perturbation technique helps to analytically solve the Young-Laplace Equation according to photographic images of axisymmetric sessile drops. When appropriate, the calculated drop contour is extended by mirror symmetry so that reflection of the drop into substrate allows the detection of position of the contact points. To keep a wide range of applicability, a discretisation of the drop's profile is not realised: instead, an optimisation of an advanced image-energy term fits an approximation of the Young-Laplace Equation to drop boundaries. In addition, cubic B-spline interpolation is applied to the image of the drop to reach subpixel resolution. To demonstrate the method's accuracy, simulated drops as well as images of liquid coal ash slags were analysed. Thanks to the high-quality image interpolation model and the image-energy term, the experiments demonstrated robust measurements over a wide variety of image types and qualities. The method was implemented in Java and is freely available [A.F. Stalder, LBADSA, Biomedical Imaging Group, EPFL, http://bigwww.epfl.ch/demo/dropanalysis]. (C) 2010 Elsevier B.V. All rights reserved

  • Low-Bond Axisymmetric Drop Shape Analysis for Surface Tension and Contact Angle Measurements of Sessile Drops
    Colloids and Surfaces A: Physicochemical and Engineering Aspects, 2010
    Co-Authors: Aurélien F. Stalder, Tobias Melchior, Daniel Sage, Michael Müller, Michael Unser
    Abstract:

    A new method based on the Young–Laplace Equation for measuring contact angles and surface tensions is presented. In this approach, a first-order perturbation technique helps to analytically solve the Young–Laplace Equation according to photographic images of axisymmetric sessile drops. When appropriate, the calculated drop contour is extended by mirror symmetry so that reflection of the drop into substrate allows the detection of position of the contact points. To keep a wide range of applicability, a discretisation of the drop’s profile is not realised; instead, an optimisation of an advanced image-energy term fits an approximation of the Young–Laplace Equation to drop boundaries. In addition, cubic B-spline interpolation is applied to the image of the drop to reach subpixel resolution. To demonstrate the method’s accuracy, simulated drops as well as images of liquid coal ash slags were analysed. Thanks to the high-quality image interpolation model and the image-energy term, the experiments demonstrated robust measurements over a wide variety of image types and qualities. The method was implemented in Java and is freely available [A.F. Stalder, LBADSA, Biomedical Imaging Group, EPFL, http://bigwww.epfl.ch/demo/dropanalysis].

  • Low-bond axisymmetric drop shape analysis for surface tension and contact angle measurements of sessile drops
    Colloids and Surfaces A: Physicochemical and Engineering Aspects, 2010
    Co-Authors: Aurélien F. Stalder, Tobias Melchior, Thierry Blu, Daniel Sage, Michael Müller, Michael Unser
    Abstract:

    A new method based on the Young-Laplace Equation for measuring contact angles and surface tensions is presented. In this approach, a first-order perturbation technique helps to analytically solve the Young-Laplace Equation according to photographic images of axisymmetric sessile drops. When appropriate, the calculated drop contour is extended by mirror symmetry so that reflection of the drop into substrate allows the detection of position of the contact points. To keep a wide range of applicability, a discretisation of the drop's profile is not realised; instead, an optimisation of an advanced image-energy term fits an approximation of the Young-Laplace Equation to drop boundaries. In addition, cubic B-spline interpolation is applied to the image of the drop to reach subpixel resolution. To demonstrate the method's accuracy, simulated drops as well as images of liquid coal ash slags were analysed. Thanks to the high-quality image interpolation model and the image-energy term, the experiments demonstrated robust measurements over a wide variety of image types and qualities. The method was implemented in Java and is freely available [A.F. Stalder, LBADSA, Biomedical Imaging Group, EPFL, http://bigwww.epfl.ch/demo/dropanalysis]. © 2010 Elsevier B.V.

Aurélien F. Stalder - One of the best experts on this subject based on the ideXlab platform.

  • Low-bond axisymmetric drop shape analysis for surface tension and contact angle measurements of sessile drops
    Colloids and Surfaces A: Physicochemical and Engineering Aspects, 2020
    Co-Authors: Aurélien F. Stalder, Tobias Melchior, Daniel Sage, Michael Müller, Michael Unser
    Abstract:

    A new method based on the Young-Laplace Equation for measuring contact angles and surface tensions is presented. In this approach, a first-order perturbation technique helps to analytically solve the Young-Laplace Equation according to photographic images of axisymmetric sessile drops. When appropriate, the calculated drop contour is extended by mirror symmetry so that reflection of the drop into substrate allows the detection of position of the contact points. To keep a wide range of applicability, a discretisation of the drop's profile is not realised: instead, an optimisation of an advanced image-energy term fits an approximation of the Young-Laplace Equation to drop boundaries. In addition, cubic B-spline interpolation is applied to the image of the drop to reach subpixel resolution. To demonstrate the method's accuracy, simulated drops as well as images of liquid coal ash slags were analysed. Thanks to the high-quality image interpolation model and the image-energy term, the experiments demonstrated robust measurements over a wide variety of image types and qualities. The method was implemented in Java and is freely available [A.F. Stalder, LBADSA, Biomedical Imaging Group, EPFL, http://bigwww.epfl.ch/demo/dropanalysis]. (C) 2010 Elsevier B.V. All rights reserved

  • Low-Bond Axisymmetric Drop Shape Analysis for Surface Tension and Contact Angle Measurements of Sessile Drops
    Colloids and Surfaces A: Physicochemical and Engineering Aspects, 2010
    Co-Authors: Aurélien F. Stalder, Tobias Melchior, Daniel Sage, Michael Müller, Michael Unser
    Abstract:

    A new method based on the Young–Laplace Equation for measuring contact angles and surface tensions is presented. In this approach, a first-order perturbation technique helps to analytically solve the Young–Laplace Equation according to photographic images of axisymmetric sessile drops. When appropriate, the calculated drop contour is extended by mirror symmetry so that reflection of the drop into substrate allows the detection of position of the contact points. To keep a wide range of applicability, a discretisation of the drop’s profile is not realised; instead, an optimisation of an advanced image-energy term fits an approximation of the Young–Laplace Equation to drop boundaries. In addition, cubic B-spline interpolation is applied to the image of the drop to reach subpixel resolution. To demonstrate the method’s accuracy, simulated drops as well as images of liquid coal ash slags were analysed. Thanks to the high-quality image interpolation model and the image-energy term, the experiments demonstrated robust measurements over a wide variety of image types and qualities. The method was implemented in Java and is freely available [A.F. Stalder, LBADSA, Biomedical Imaging Group, EPFL, http://bigwww.epfl.ch/demo/dropanalysis].

  • Low-bond axisymmetric drop shape analysis for surface tension and contact angle measurements of sessile drops
    Colloids and Surfaces A: Physicochemical and Engineering Aspects, 2010
    Co-Authors: Aurélien F. Stalder, Tobias Melchior, Thierry Blu, Daniel Sage, Michael Müller, Michael Unser
    Abstract:

    A new method based on the Young-Laplace Equation for measuring contact angles and surface tensions is presented. In this approach, a first-order perturbation technique helps to analytically solve the Young-Laplace Equation according to photographic images of axisymmetric sessile drops. When appropriate, the calculated drop contour is extended by mirror symmetry so that reflection of the drop into substrate allows the detection of position of the contact points. To keep a wide range of applicability, a discretisation of the drop's profile is not realised; instead, an optimisation of an advanced image-energy term fits an approximation of the Young-Laplace Equation to drop boundaries. In addition, cubic B-spline interpolation is applied to the image of the drop to reach subpixel resolution. To demonstrate the method's accuracy, simulated drops as well as images of liquid coal ash slags were analysed. Thanks to the high-quality image interpolation model and the image-energy term, the experiments demonstrated robust measurements over a wide variety of image types and qualities. The method was implemented in Java and is freely available [A.F. Stalder, LBADSA, Biomedical Imaging Group, EPFL, http://bigwww.epfl.ch/demo/dropanalysis]. © 2010 Elsevier B.V.

Tobias Melchior - One of the best experts on this subject based on the ideXlab platform.

  • Low-bond axisymmetric drop shape analysis for surface tension and contact angle measurements of sessile drops
    Colloids and Surfaces A: Physicochemical and Engineering Aspects, 2020
    Co-Authors: Aurélien F. Stalder, Tobias Melchior, Daniel Sage, Michael Müller, Michael Unser
    Abstract:

    A new method based on the Young-Laplace Equation for measuring contact angles and surface tensions is presented. In this approach, a first-order perturbation technique helps to analytically solve the Young-Laplace Equation according to photographic images of axisymmetric sessile drops. When appropriate, the calculated drop contour is extended by mirror symmetry so that reflection of the drop into substrate allows the detection of position of the contact points. To keep a wide range of applicability, a discretisation of the drop's profile is not realised: instead, an optimisation of an advanced image-energy term fits an approximation of the Young-Laplace Equation to drop boundaries. In addition, cubic B-spline interpolation is applied to the image of the drop to reach subpixel resolution. To demonstrate the method's accuracy, simulated drops as well as images of liquid coal ash slags were analysed. Thanks to the high-quality image interpolation model and the image-energy term, the experiments demonstrated robust measurements over a wide variety of image types and qualities. The method was implemented in Java and is freely available [A.F. Stalder, LBADSA, Biomedical Imaging Group, EPFL, http://bigwww.epfl.ch/demo/dropanalysis]. (C) 2010 Elsevier B.V. All rights reserved

  • Low-Bond Axisymmetric Drop Shape Analysis for Surface Tension and Contact Angle Measurements of Sessile Drops
    Colloids and Surfaces A: Physicochemical and Engineering Aspects, 2010
    Co-Authors: Aurélien F. Stalder, Tobias Melchior, Daniel Sage, Michael Müller, Michael Unser
    Abstract:

    A new method based on the Young–Laplace Equation for measuring contact angles and surface tensions is presented. In this approach, a first-order perturbation technique helps to analytically solve the Young–Laplace Equation according to photographic images of axisymmetric sessile drops. When appropriate, the calculated drop contour is extended by mirror symmetry so that reflection of the drop into substrate allows the detection of position of the contact points. To keep a wide range of applicability, a discretisation of the drop’s profile is not realised; instead, an optimisation of an advanced image-energy term fits an approximation of the Young–Laplace Equation to drop boundaries. In addition, cubic B-spline interpolation is applied to the image of the drop to reach subpixel resolution. To demonstrate the method’s accuracy, simulated drops as well as images of liquid coal ash slags were analysed. Thanks to the high-quality image interpolation model and the image-energy term, the experiments demonstrated robust measurements over a wide variety of image types and qualities. The method was implemented in Java and is freely available [A.F. Stalder, LBADSA, Biomedical Imaging Group, EPFL, http://bigwww.epfl.ch/demo/dropanalysis].

  • Low-bond axisymmetric drop shape analysis for surface tension and contact angle measurements of sessile drops
    Colloids and Surfaces A: Physicochemical and Engineering Aspects, 2010
    Co-Authors: Aurélien F. Stalder, Tobias Melchior, Thierry Blu, Daniel Sage, Michael Müller, Michael Unser
    Abstract:

    A new method based on the Young-Laplace Equation for measuring contact angles and surface tensions is presented. In this approach, a first-order perturbation technique helps to analytically solve the Young-Laplace Equation according to photographic images of axisymmetric sessile drops. When appropriate, the calculated drop contour is extended by mirror symmetry so that reflection of the drop into substrate allows the detection of position of the contact points. To keep a wide range of applicability, a discretisation of the drop's profile is not realised; instead, an optimisation of an advanced image-energy term fits an approximation of the Young-Laplace Equation to drop boundaries. In addition, cubic B-spline interpolation is applied to the image of the drop to reach subpixel resolution. To demonstrate the method's accuracy, simulated drops as well as images of liquid coal ash slags were analysed. Thanks to the high-quality image interpolation model and the image-energy term, the experiments demonstrated robust measurements over a wide variety of image types and qualities. The method was implemented in Java and is freely available [A.F. Stalder, LBADSA, Biomedical Imaging Group, EPFL, http://bigwww.epfl.ch/demo/dropanalysis]. © 2010 Elsevier B.V.

Daniel Sage - One of the best experts on this subject based on the ideXlab platform.

  • Low-bond axisymmetric drop shape analysis for surface tension and contact angle measurements of sessile drops
    Colloids and Surfaces A: Physicochemical and Engineering Aspects, 2020
    Co-Authors: Aurélien F. Stalder, Tobias Melchior, Daniel Sage, Michael Müller, Michael Unser
    Abstract:

    A new method based on the Young-Laplace Equation for measuring contact angles and surface tensions is presented. In this approach, a first-order perturbation technique helps to analytically solve the Young-Laplace Equation according to photographic images of axisymmetric sessile drops. When appropriate, the calculated drop contour is extended by mirror symmetry so that reflection of the drop into substrate allows the detection of position of the contact points. To keep a wide range of applicability, a discretisation of the drop's profile is not realised: instead, an optimisation of an advanced image-energy term fits an approximation of the Young-Laplace Equation to drop boundaries. In addition, cubic B-spline interpolation is applied to the image of the drop to reach subpixel resolution. To demonstrate the method's accuracy, simulated drops as well as images of liquid coal ash slags were analysed. Thanks to the high-quality image interpolation model and the image-energy term, the experiments demonstrated robust measurements over a wide variety of image types and qualities. The method was implemented in Java and is freely available [A.F. Stalder, LBADSA, Biomedical Imaging Group, EPFL, http://bigwww.epfl.ch/demo/dropanalysis]. (C) 2010 Elsevier B.V. All rights reserved

  • Low-Bond Axisymmetric Drop Shape Analysis for Surface Tension and Contact Angle Measurements of Sessile Drops
    Colloids and Surfaces A: Physicochemical and Engineering Aspects, 2010
    Co-Authors: Aurélien F. Stalder, Tobias Melchior, Daniel Sage, Michael Müller, Michael Unser
    Abstract:

    A new method based on the Young–Laplace Equation for measuring contact angles and surface tensions is presented. In this approach, a first-order perturbation technique helps to analytically solve the Young–Laplace Equation according to photographic images of axisymmetric sessile drops. When appropriate, the calculated drop contour is extended by mirror symmetry so that reflection of the drop into substrate allows the detection of position of the contact points. To keep a wide range of applicability, a discretisation of the drop’s profile is not realised; instead, an optimisation of an advanced image-energy term fits an approximation of the Young–Laplace Equation to drop boundaries. In addition, cubic B-spline interpolation is applied to the image of the drop to reach subpixel resolution. To demonstrate the method’s accuracy, simulated drops as well as images of liquid coal ash slags were analysed. Thanks to the high-quality image interpolation model and the image-energy term, the experiments demonstrated robust measurements over a wide variety of image types and qualities. The method was implemented in Java and is freely available [A.F. Stalder, LBADSA, Biomedical Imaging Group, EPFL, http://bigwww.epfl.ch/demo/dropanalysis].

  • Low-bond axisymmetric drop shape analysis for surface tension and contact angle measurements of sessile drops
    Colloids and Surfaces A: Physicochemical and Engineering Aspects, 2010
    Co-Authors: Aurélien F. Stalder, Tobias Melchior, Thierry Blu, Daniel Sage, Michael Müller, Michael Unser
    Abstract:

    A new method based on the Young-Laplace Equation for measuring contact angles and surface tensions is presented. In this approach, a first-order perturbation technique helps to analytically solve the Young-Laplace Equation according to photographic images of axisymmetric sessile drops. When appropriate, the calculated drop contour is extended by mirror symmetry so that reflection of the drop into substrate allows the detection of position of the contact points. To keep a wide range of applicability, a discretisation of the drop's profile is not realised; instead, an optimisation of an advanced image-energy term fits an approximation of the Young-Laplace Equation to drop boundaries. In addition, cubic B-spline interpolation is applied to the image of the drop to reach subpixel resolution. To demonstrate the method's accuracy, simulated drops as well as images of liquid coal ash slags were analysed. Thanks to the high-quality image interpolation model and the image-energy term, the experiments demonstrated robust measurements over a wide variety of image types and qualities. The method was implemented in Java and is freely available [A.F. Stalder, LBADSA, Biomedical Imaging Group, EPFL, http://bigwww.epfl.ch/demo/dropanalysis]. © 2010 Elsevier B.V.

Michael Müller - One of the best experts on this subject based on the ideXlab platform.

  • Low-bond axisymmetric drop shape analysis for surface tension and contact angle measurements of sessile drops
    Colloids and Surfaces A: Physicochemical and Engineering Aspects, 2020
    Co-Authors: Aurélien F. Stalder, Tobias Melchior, Daniel Sage, Michael Müller, Michael Unser
    Abstract:

    A new method based on the Young-Laplace Equation for measuring contact angles and surface tensions is presented. In this approach, a first-order perturbation technique helps to analytically solve the Young-Laplace Equation according to photographic images of axisymmetric sessile drops. When appropriate, the calculated drop contour is extended by mirror symmetry so that reflection of the drop into substrate allows the detection of position of the contact points. To keep a wide range of applicability, a discretisation of the drop's profile is not realised: instead, an optimisation of an advanced image-energy term fits an approximation of the Young-Laplace Equation to drop boundaries. In addition, cubic B-spline interpolation is applied to the image of the drop to reach subpixel resolution. To demonstrate the method's accuracy, simulated drops as well as images of liquid coal ash slags were analysed. Thanks to the high-quality image interpolation model and the image-energy term, the experiments demonstrated robust measurements over a wide variety of image types and qualities. The method was implemented in Java and is freely available [A.F. Stalder, LBADSA, Biomedical Imaging Group, EPFL, http://bigwww.epfl.ch/demo/dropanalysis]. (C) 2010 Elsevier B.V. All rights reserved

  • Low-Bond Axisymmetric Drop Shape Analysis for Surface Tension and Contact Angle Measurements of Sessile Drops
    Colloids and Surfaces A: Physicochemical and Engineering Aspects, 2010
    Co-Authors: Aurélien F. Stalder, Tobias Melchior, Daniel Sage, Michael Müller, Michael Unser
    Abstract:

    A new method based on the Young–Laplace Equation for measuring contact angles and surface tensions is presented. In this approach, a first-order perturbation technique helps to analytically solve the Young–Laplace Equation according to photographic images of axisymmetric sessile drops. When appropriate, the calculated drop contour is extended by mirror symmetry so that reflection of the drop into substrate allows the detection of position of the contact points. To keep a wide range of applicability, a discretisation of the drop’s profile is not realised; instead, an optimisation of an advanced image-energy term fits an approximation of the Young–Laplace Equation to drop boundaries. In addition, cubic B-spline interpolation is applied to the image of the drop to reach subpixel resolution. To demonstrate the method’s accuracy, simulated drops as well as images of liquid coal ash slags were analysed. Thanks to the high-quality image interpolation model and the image-energy term, the experiments demonstrated robust measurements over a wide variety of image types and qualities. The method was implemented in Java and is freely available [A.F. Stalder, LBADSA, Biomedical Imaging Group, EPFL, http://bigwww.epfl.ch/demo/dropanalysis].

  • Low-bond axisymmetric drop shape analysis for surface tension and contact angle measurements of sessile drops
    Colloids and Surfaces A: Physicochemical and Engineering Aspects, 2010
    Co-Authors: Aurélien F. Stalder, Tobias Melchior, Thierry Blu, Daniel Sage, Michael Müller, Michael Unser
    Abstract:

    A new method based on the Young-Laplace Equation for measuring contact angles and surface tensions is presented. In this approach, a first-order perturbation technique helps to analytically solve the Young-Laplace Equation according to photographic images of axisymmetric sessile drops. When appropriate, the calculated drop contour is extended by mirror symmetry so that reflection of the drop into substrate allows the detection of position of the contact points. To keep a wide range of applicability, a discretisation of the drop's profile is not realised; instead, an optimisation of an advanced image-energy term fits an approximation of the Young-Laplace Equation to drop boundaries. In addition, cubic B-spline interpolation is applied to the image of the drop to reach subpixel resolution. To demonstrate the method's accuracy, simulated drops as well as images of liquid coal ash slags were analysed. Thanks to the high-quality image interpolation model and the image-energy term, the experiments demonstrated robust measurements over a wide variety of image types and qualities. The method was implemented in Java and is freely available [A.F. Stalder, LBADSA, Biomedical Imaging Group, EPFL, http://bigwww.epfl.ch/demo/dropanalysis]. © 2010 Elsevier B.V.