Publication

On the Characterisation of the Surface Roughness of 3d Object Scanned with Micro CT

2021
Student Projects

Abstract

This goal of this paper is the characterisation of surface roughness of 3D object scanned via micro CT. The idea is to extract the fractal dimension D of a 3D cloud of points. This project follows the work of a previous student project: Characterisation of the surface roughness of 3D objects from micro CT. Two methods were compared the box counting method and extraction of the power spectrum of the signal formed by the fragment profile.

Official source

Graph Chat

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

2021
Student Projects

Abstract

Official source

Related concepts (32)

3D modeling

In 3D computer graphics, 3D modeling is the process of developing a mathematical coordinate-based representation of any surface of an object (inanimate or living) in three dimensions via specialized software by manipulating edges, vertices, and polygons in a simulated 3D space. Three-dimensional (3D) models represent a physical body using a collection of points in 3D space, connected by various geometric entities such as triangles, lines, curved surfaces, etc.

Minkowski–Bouligand dimension

In fractal geometry, the Minkowski–Bouligand dimension, also known as Minkowski dimension or box-counting dimension, is a way of determining the fractal dimension of a set in a Euclidean space , or more generally in a metric space . It is named after the Polish mathematician Hermann Minkowski and the French mathematician Georges Bouligand. To calculate this dimension for a fractal , imagine this fractal lying on an evenly spaced grid and count how many boxes are required to cover the set.

Fractal dimension

In mathematics, a fractal dimension is a term invoked in the science of geometry to provide a rational statistical index of complexity detail in a pattern. A fractal pattern changes with the scale at which it is measured. It is also a measure of the space-filling capacity of a pattern, and it tells how a fractal scales differently, in a fractal (non-integer) dimension. The main idea of "fractured" dimensions has a long history in mathematics, but the term itself was brought to the fore by Benoit Mandelbrot based on his 1967 paper on self-similarity in which he discussed fractional dimensions.

Related publications (11)

On the Characterisation of the Surface Roughness of 3d Object Scanned with Micro CT

Chat with Graph Search

TopoTome: Topology-informed unsupervised segmentation and analysis of 3D images

Concurrent adjustment of active and passive optical sensors with GNSS and raw inertial data

Erneuerbare Energie und Biodiversität