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Papers by Leonardo Traversoni

Research paper thumbnail of Using Wavelets For Simulation Of ShallowCoastal Lagoons

WIT Transactions on the Built Environment, 1970

Research paper thumbnail of Hydrodinamic Cavitation for Water and Oil Treatment

Research paper thumbnail of <title>Delaunay's tetrahedronalization: an efficient algorithm for 3-D triangulation</title>

Proceedings of SPIE, Aug 1, 1990

ABSTRACT Our objective is to show that tetrahedronalization of a convex volume of which we know s... more ABSTRACT Our objective is to show that tetrahedronalization of a convex volume of which we know some points in its surface is an efficient way of triangulating the surface.

Research paper thumbnail of Plant and Plant Disease Recognition

Research paper thumbnail of Computer Modelling of Seas and Coastal Regions

Research paper thumbnail of Natural Neighbour Finite Elements

The Natural Neighbor Interpolant has been used in splines and other visualization techniques this... more The Natural Neighbor Interpolant has been used in splines and other visualization techniques this paper proposes its use in Finite Element. In order to reach that goal several modifications are made to both methods, those modifications are detailed in the paper. The result is a very accurate tool, specially suited to deal with non linear problems. To show the above an example of coastal sea bed erosion and sedimentation has been implemented and its results and advantages shown in the paper. Natural Neighbor Interpolant Natural neighbors may be defined as follows: For every set V = {^1,^2, • • • ,Pm} of ra different points on E. And for each i on Im is defined the set of Voronoi poly topes related to V. Every pair of points whose Voronoi poly topes have common frontiers, are called Natural Neighbors; for each point there always exists a set of Natural Neighbors Let now V be a set of m different points on E, with ra > n, not contained on a subspace of E of dimmension less than n. An open sphere £ on E is called Covering Sphere related to V, if and only if : i) 8 contains no point of V.

Research paper thumbnail of Velocity and Object Detection Using Quaternion Wavelets

AIP Conference Proceedings, 2007

DStarting from stereoscopic films we detect corresponding objects in both and stablish an epipola... more DStarting from stereoscopic films we detect corresponding objects in both and stablish an epipolar geometry as well as corresponding moving objects are detected and its movement described all using quaternion wavelets and quaternion phase space decomposition.

Research paper thumbnail of Ozone and Cavitation Combination

AIP Conference Proceedings, 2009

ABSTRACT From laboratory measurements it is well known that the addition of ozone and cavitation ... more ABSTRACT From laboratory measurements it is well known that the addition of ozone and cavitation enhances the properties of both, understanding for that the ones related to disinfection and carbon removal from waste water. This paper shows modeling of such phenomena that gives some light to the understanding of it and also provides the opportunity to improve the effectiveness of the current procedures.

Research paper thumbnail of Finite Element Solution of Vortex Transport Equation

AIP Conference Proceedings, 2007

ABSTRACT We present a version of Vorticity Transport Equation solely depending upon the vorticity... more ABSTRACT We present a version of Vorticity Transport Equation solely depending upon the vorticity (instead of a vorticity velocity or vorticity streamfunction as other authors). This version is based in the use of Teodorescu transform and we show the use of its numerical version.

Research paper thumbnail of Dynamics Of Coupled And Driven Harmonic Oscillators Using Dual Quaternions

AIP Conference Proceedings, 2009

This paper introduces dual-quaternion product how the representation of curve solution to oscilla... more This paper introduces dual-quaternion product how the representation of curve solution to oscillating systems, under dissipation and external periodic action, as well as strength of coupling.

Research paper thumbnail of Modeling Man Made Channels Between Sea and Coastal Lagoons

Springer eBooks, 1992

Construction of artificial channels between sea and coastal lagoons is a common practice in Mexic... more Construction of artificial channels between sea and coastal lagoons is a common practice in Mexico in order to improve fisheries or for navigation purposes. However consequences of such channels are still being studied. Our model intends to be a practical contribution to this subject and is devoted specifically to the channel itself and its surroundings.

Research paper thumbnail of Shallow water equations from a vorticial quaternionic point of view

Research paper thumbnail of Quaternions on wavelets problems

Research paper thumbnail of Localization, recognition and prediction of trajectories of objects in real time

Research paper thumbnail of Some aspects of the Delaunay triangulation of the plane

Research paper thumbnail of Scattered data

Journal of Computational and Applied Mathematics

Research paper thumbnail of Building Solids Using Quaternions

2008 Congress on Image and Signal Processing, 2008

... Rafael Reséndiz Universidad Autónoma Metropolitana Departamento de Matemáticas Iztapalapa, Mé... more ... Rafael Reséndiz Universidad Autónoma Metropolitana Departamento de Matemáticas Iztapalapa, México DF rafael.resendiz@gmail.com Abstract This paper presents two ways to make solid modelling, defining the solid surface as a trajectory of a particle. ...

Research paper thumbnail of A Building Method for Hierarchical Covering Spheres of a Given Set of Points

Curves and Surfaces, 1991

Google, Inc. (search). ...

Research paper thumbnail of Multivariate scattered data fitting

Journal of Computational and Applied Mathematics, 1996

Research paper thumbnail of Curves and Surfaces in Computer Vision and Graphics III (Proceedings Volume)

* Available as a photocopy reprint only. Allow two weeks reprinting time plus standard delivery t... more * Available as a photocopy reprint only. Allow two weeks reprinting time plus standard delivery time. No discounts or returns apply. ... Standard delivery in the US is 7 to 10 business days and outside the US delivery is 4 to 6 weeks or longer. For further details, please see shipping policy. ... Listed below are the papers found in this volume. Click the paper title to view an abstract or to order an individual paper. ... Sign up for monthly alerts of new titles released.

Research paper thumbnail of Using Wavelets For Simulation Of ShallowCoastal Lagoons

WIT Transactions on the Built Environment, 1970

Research paper thumbnail of Hydrodinamic Cavitation for Water and Oil Treatment

Research paper thumbnail of <title>Delaunay's tetrahedronalization: an efficient algorithm for 3-D triangulation</title>

Proceedings of SPIE, Aug 1, 1990

ABSTRACT Our objective is to show that tetrahedronalization of a convex volume of which we know s... more ABSTRACT Our objective is to show that tetrahedronalization of a convex volume of which we know some points in its surface is an efficient way of triangulating the surface.

Research paper thumbnail of Plant and Plant Disease Recognition

Research paper thumbnail of Computer Modelling of Seas and Coastal Regions

Research paper thumbnail of Natural Neighbour Finite Elements

The Natural Neighbor Interpolant has been used in splines and other visualization techniques this... more The Natural Neighbor Interpolant has been used in splines and other visualization techniques this paper proposes its use in Finite Element. In order to reach that goal several modifications are made to both methods, those modifications are detailed in the paper. The result is a very accurate tool, specially suited to deal with non linear problems. To show the above an example of coastal sea bed erosion and sedimentation has been implemented and its results and advantages shown in the paper. Natural Neighbor Interpolant Natural neighbors may be defined as follows: For every set V = {^1,^2, • • • ,Pm} of ra different points on E. And for each i on Im is defined the set of Voronoi poly topes related to V. Every pair of points whose Voronoi poly topes have common frontiers, are called Natural Neighbors; for each point there always exists a set of Natural Neighbors Let now V be a set of m different points on E, with ra > n, not contained on a subspace of E of dimmension less than n. An open sphere £ on E is called Covering Sphere related to V, if and only if : i) 8 contains no point of V.

Research paper thumbnail of Velocity and Object Detection Using Quaternion Wavelets

AIP Conference Proceedings, 2007

DStarting from stereoscopic films we detect corresponding objects in both and stablish an epipola... more DStarting from stereoscopic films we detect corresponding objects in both and stablish an epipolar geometry as well as corresponding moving objects are detected and its movement described all using quaternion wavelets and quaternion phase space decomposition.

Research paper thumbnail of Ozone and Cavitation Combination

AIP Conference Proceedings, 2009

ABSTRACT From laboratory measurements it is well known that the addition of ozone and cavitation ... more ABSTRACT From laboratory measurements it is well known that the addition of ozone and cavitation enhances the properties of both, understanding for that the ones related to disinfection and carbon removal from waste water. This paper shows modeling of such phenomena that gives some light to the understanding of it and also provides the opportunity to improve the effectiveness of the current procedures.

Research paper thumbnail of Finite Element Solution of Vortex Transport Equation

AIP Conference Proceedings, 2007

ABSTRACT We present a version of Vorticity Transport Equation solely depending upon the vorticity... more ABSTRACT We present a version of Vorticity Transport Equation solely depending upon the vorticity (instead of a vorticity velocity or vorticity streamfunction as other authors). This version is based in the use of Teodorescu transform and we show the use of its numerical version.

Research paper thumbnail of Dynamics Of Coupled And Driven Harmonic Oscillators Using Dual Quaternions

AIP Conference Proceedings, 2009

This paper introduces dual-quaternion product how the representation of curve solution to oscilla... more This paper introduces dual-quaternion product how the representation of curve solution to oscillating systems, under dissipation and external periodic action, as well as strength of coupling.

Research paper thumbnail of Modeling Man Made Channels Between Sea and Coastal Lagoons

Springer eBooks, 1992

Construction of artificial channels between sea and coastal lagoons is a common practice in Mexic... more Construction of artificial channels between sea and coastal lagoons is a common practice in Mexico in order to improve fisheries or for navigation purposes. However consequences of such channels are still being studied. Our model intends to be a practical contribution to this subject and is devoted specifically to the channel itself and its surroundings.

Research paper thumbnail of Shallow water equations from a vorticial quaternionic point of view

Research paper thumbnail of Quaternions on wavelets problems

Research paper thumbnail of Localization, recognition and prediction of trajectories of objects in real time

Research paper thumbnail of Some aspects of the Delaunay triangulation of the plane

Research paper thumbnail of Scattered data

Journal of Computational and Applied Mathematics

Research paper thumbnail of Building Solids Using Quaternions

2008 Congress on Image and Signal Processing, 2008

... Rafael Reséndiz Universidad Autónoma Metropolitana Departamento de Matemáticas Iztapalapa, Mé... more ... Rafael Reséndiz Universidad Autónoma Metropolitana Departamento de Matemáticas Iztapalapa, México DF rafael.resendiz@gmail.com Abstract This paper presents two ways to make solid modelling, defining the solid surface as a trajectory of a particle. ...

Research paper thumbnail of A Building Method for Hierarchical Covering Spheres of a Given Set of Points

Curves and Surfaces, 1991

Google, Inc. (search). ...

Research paper thumbnail of Multivariate scattered data fitting

Journal of Computational and Applied Mathematics, 1996

Research paper thumbnail of Curves and Surfaces in Computer Vision and Graphics III (Proceedings Volume)

* Available as a photocopy reprint only. Allow two weeks reprinting time plus standard delivery t... more * Available as a photocopy reprint only. Allow two weeks reprinting time plus standard delivery time. No discounts or returns apply. ... Standard delivery in the US is 7 to 10 business days and outside the US delivery is 4 to 6 weeks or longer. For further details, please see shipping policy. ... Listed below are the papers found in this volume. Click the paper title to view an abstract or to order an individual paper. ... Sign up for monthly alerts of new titles released.