Add to ORKGWe introduce a surface approximation technique to address the problem of fitting a surface to a given set of curves. The originality of the method lies in its ability to take into account the continuous aspect of the data, and also in the possibility to arbitrarily select the regularity (C0, C1, or higher) of the approximant obtained. We demonstrate the efficiency of the approach by constructing a bathymetry map of the Marianas trench based upon a set of SONAR (SOnic Navigation And Ranging) bathymetry ship track data. KEY WORDS: surface fitting, bathymetry, splines, finite elements
International audienceWe study the problem of constructing a smooth approximant from a finite set of...
This paper describes a mathematical formulation for the efficient localization of 3D surfaces includ...
komat itsQseismology. harvard. edu In many problems of geophysical interest, when try-ing t o descri...
[[abstract]]The approximation of a curve of an arbitrary shape by a sequence of line-segments and ci...
[[abstract]]In this paper, a surface fitting method for reverse engineering is presented. This metho...
International audienceIn many problems of geophysical interest, one has to deal with data that exhib...
In many problems of geophysical interest, one has to deal with data that exhibit complex fault struc...
A high quality surface representation is indispensable for a hydrodynamic numerical model, which is ...
A set of bathymetry point clouds acquired by different measurement techniques at different times, ha...
The aim of this paper is the reconstruction of a surface starting from a cloud of points. In particu...
The main problems of numerical analysis involve performing analytical operations, such as integratio...
The shape reconstruction of a 3D object from its 2D cross-sections is important for reproducing it b...
A method is developed for fitting smooth curves through a series of shapes of landmarks in two dimen...
In order to overcome shortcomings of triangulation based meshing tools a new type of mesh generation...
Most approaches to least squares fitting of a B-spline surface to measurement data require a paramet...
International audienceWe study the problem of constructing a smooth approximant from a finite set of...
This paper describes a mathematical formulation for the efficient localization of 3D surfaces includ...
komat itsQseismology. harvard. edu In many problems of geophysical interest, when try-ing t o descri...
[[abstract]]The approximation of a curve of an arbitrary shape by a sequence of line-segments and ci...
[[abstract]]In this paper, a surface fitting method for reverse engineering is presented. This metho...
International audienceIn many problems of geophysical interest, one has to deal with data that exhib...
In many problems of geophysical interest, one has to deal with data that exhibit complex fault struc...
A high quality surface representation is indispensable for a hydrodynamic numerical model, which is ...
A set of bathymetry point clouds acquired by different measurement techniques at different times, ha...
The aim of this paper is the reconstruction of a surface starting from a cloud of points. In particu...
The main problems of numerical analysis involve performing analytical operations, such as integratio...
The shape reconstruction of a 3D object from its 2D cross-sections is important for reproducing it b...
A method is developed for fitting smooth curves through a series of shapes of landmarks in two dimen...
In order to overcome shortcomings of triangulation based meshing tools a new type of mesh generation...
Most approaches to least squares fitting of a B-spline surface to measurement data require a paramet...
International audienceWe study the problem of constructing a smooth approximant from a finite set of...
This paper describes a mathematical formulation for the efficient localization of 3D surfaces includ...
komat itsQseismology. harvard. edu In many problems of geophysical interest, when try-ing t o descri...