Preuve scientifique | EPFL Graph Search

Une preuve scientifique est une preuve servant à soutenir ou à infirmer une théorie ou une hypothèse en science. Une preuve devrait être empirique et son interprétation respecter la méthode scientifique. Les critères pour accepter une preuve varient selon le domaine scientifique, mais la force d’une preuve scientifique est généralement basée sur les résultats de l’analyse statistique et de la qualité des témoins (contrôles). On réserve le mot « preuve » aux sciences exactes fondamentales (mathématique, physique théorique, chimie théorique, etc.). En sciences expérimentales les professionnels utilisent le plus souvent l'expression de évidence scientifique et si cette dernière est conclusive, on parle alors d'évidence au-delà de tout doute raisonnable (EADDTDR). Principe d’inférence Les hypothèses ou les croyances d’une personne sur le lien possible entre les observations et une hypothèse l’influence sur sa décision de prendre les observations comme preuves. Ces hypothèses o

Understanding cave genesis along favourable bedding planes. The role of the primary rock permeability

Marco Filipponi, Pierre-Yves Jeannin, Laurent Tacher

Recent studies on the complex 3D geometry of large cave systems around the World allowed us to get statistical evidence of the inception horizon hypothesis. It clearly confirmed the idea that the development of karst conduits under phreatic conditions is strongly related to a restricted number of so called inception horizons. An inception horizon is a part of a rock succession that can favour the earliest cave forming processes (LOWE 1992).

2010

Evidence of inception horizons in karst conduit networks

Marco Filipponi, Pierre-Yves Jeannin, Laurent Tacher

This paper outlines the conclusion from an analysis of 18 large cave systems around the world, comprising more than 1500 km of conduits. The 3D geometry of complex cave systems have been analysed in relation to their geological context as well as their hydrogeological boundary conditions. The methodology allowed for the first time statistical evidence of the inception horizon concept. Thereby it confirms that the development of karst conduits under phreatic conditions is strongly related to a restricted number of so called inception horizons. An inception horizon is a part of a rock succession that is particularly susceptible to the development of karst conduits because of physical, lithological or chemical deviation from the predominant carbonate facies within the limestone sequence. It passively or actively favours the localisation of dissolutional voids.

2008

Practical Box Splines for Reconstruction on the Body Centered Cubic Lattice

Dimitri Nestor Alice Van De Ville

We introduce a family of box splines for efficient, accurate, and smooth reconstruction of volumetric data sampled on the body-centered cubic (BCC) lattice, which is the favorable volumetric sampling pattern due to its optimal spectral sphere packing property. First, we construct a box spline based on the four principal directions of the BCC lattice that allows for a linear

C ^{ 0 }

reconstruction. Then, the design is extended for higher degrees of continuity. We derive the explicit piecewise polynomial representations of the

C ^{ 0 }

and

C ^{ 2 }

box splines that are useful for practical reconstruction applications. We further demonstrate that approximation in the shift-invariant space—generated by BCC-lattice shifts of these box splines—is twice as efficient as using the tensor-product B-spline solutions on the Cartesian lattice (with comparable smoothness and approximation order and with the same sampling density). Practical evidence is provided demonstrating that the BCC lattice not only is generally a more accurate sampling pattern, but also allows for extremely efficient reconstructions that outperform tensor-product Cartesian reconstructions.

IEEE2008

Practical Box Splines for Reconstruction on the Body Centered Cubic Lattice

Dimitri Nestor Alice Van De Ville

C ^{ 0 }

reconstruction. Then, the design is extended for higher degrees of continuity. We derive the explicit piecewise polynomial representations of the

C ^{ 0 }

and

C ^{ 2 }

IEEE2008