Publication

Methods and apparatus for three-dimensional fabrication by tomographic back projections

Christophe Moser, Paul Delrot, Damien Claude-Marie Loterie
2019
Patents

Abstract

A method for producing a three-dimensional object comprising computing a sequence of back-projections describing the three-dimensional object to be formed from different orientation angles of said object, defining a sequence of patterns of light using said back-projections, and irradiating with each of said patterns of light at the respective corresponding orientation angle and according to the defined sequence a photoresponsive material that is capable of alteration of its material phase upon irradiation by light, thereby creating a three-dimensional distribution of alterations within the photoresponsive medium which physically reproduces said three- dimensional object, thereby creating the three-dimensional object.

Official source

https://infoscience.epfl.ch/entities/publication/0b8a0031-4b6d-4989-80f1-77fbfa4202b4

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Christophe Moser, Paul Delrot, Damien Claude-Marie Loterie
2019
Patents

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/0b8a0031-4b6d-4989-80f1-77fbfa4202b4

About this result

Related concepts (31)

Three-dimensional space

In geometry, a three-dimensional space (3D space, 3-space or, rarely, tri-dimensional space) is a mathematical space in which three values (coordinates) are required to determine the position of a point. Most commonly, it is the three-dimensional Euclidean space, the Euclidean n-space of dimension n=3 that models physical space. More general three-dimensional spaces are called 3-manifolds. Technically, a tuple of n numbers can be understood as the Cartesian coordinates of a location in a n-dimensional Euclidean space.

Dimension

In physics and mathematics, the dimension of a mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any point within it. Thus, a line has a dimension of one (1D) because only one coordinate is needed to specify a point on it - for example, the point at 5 on a number line. A surface, such as the boundary of a cylinder or sphere, has a dimension of two (2D) because two coordinates are needed to specify a point on it - for example, both a latitude and longitude are required to locate a point on the surface of a sphere.

Four-dimensional space

Four-dimensional space (4D) is the mathematical extension of the concept of three-dimensional space (3D). Three-dimensional space is the simplest possible abstraction of the observation that one needs only three numbers, called dimensions, to describe the sizes or locations of objects in the everyday world. For example, the volume of a rectangular box is found by measuring and multiplying its length, width, and height (often labeled x, y, and z).

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