Geometric Processing of Porous Media

Geometrical processing of porous media, enables physical simulations never seen before, as well as expansion and compression of geometrical representations. Click here for simple meshes examples.

Multiphysics 3D Simulation on Real CT-scan data.

Coupled 3D multiphysics simulations, Click here for Video.

Extreme compression of 3D Geometries on 2D Images, 2D 3D Transform

New mathematical theory in the geometry of porous media, which enables the creation of 3D geometries from 2D microscopies of rocks. The created geometries have equivalent physcial properties than the 2D counterparts. Equivalently, a full 3D geometry can be stored on a sigle 2D image, which is a factor of more than 1000x information compression.

Wildfire catastrophe modeling to assess the risk of property loss

• Geospatial vegetation and climate data • Physical modeling of the fire's propagating front. • Modeling of thousands of fires scenarios with different location and ignition points.

3D Dynamical Surfaces on CT-scan data

Calculate the changes in material properties as a function of Chemical and Physical processes.

Automatic Grain Segmentation Software

Created an automatic grain segmentation and geometry analysis algorithm for 2D images with a graphical user interface to select the ideal sand quarries as sources for hydraulic fracturing.

Dynamical Model and Control of a Quadcopter

In this project, I wrote a complete dynamical model of a quadcopter using 3D dynamics and considering all components including the small propellers. By using a real quadcopter, I calibrated the model, by measuring and weighting each part of the real quadcopter and building a digital version of it, obtaining the inertial properties such as center of mass and the inertia tensors required for the theoretical model. Additionally, I measured the propeller force with a triaxial load cell to get the Force-Velocity curve of the propeller. With this model, I calibrated a flight controller to be able to fly the real quadcopter..

Artificial Rock Sample Montecarlo Simulation

Simple theoretical models have been written to explain the bulk behavior of real rocks. However, this models are limited by their assumptions, and real rocks that span all the variety that this models explain, are hard to find, extract and study. I wrote an algorithm that generates complex and realistic artificial rocks, that enable the models and its assumptions to be tested.