Method for determining the three-dimensional surface of an object

A method for determining a three-dimensional surface of an object using a computer, the method comprising:

• defining coordinates of a plurality of points on the surface of the object;
• defining a three-dimensional matrix of cells that contains the object, each cell of the three-dimensional matrix of cells having a center, and a value being able to be associated with each cell of the three-dimensional matrix of cells;
• determining a distance between the center of each cell of the three-dimensional matrix of cells and a closest point of the plurality of points on the surface of the object;
• setting the value associated with each of a first portion of cells of the three-dimensional matrix of cells to a first preset value;
• determining the value associated with each cell of the three-dimensional matrix of cells using the computer, with the exception of the first portion of cells, by means of the following formula
• F
• ⁡
• (
• x
• _
• i
• ,
• t
• +
• 1
• )
• =
• F
• ⁡
• (
• x
• _
• i
• ,
• t
• )
• ·
• v
• i
• +
• w
• ·
• ∑
• j
• ⁢
• F
• ⁡
• (
• x
• _
• j
• ,
• t
• )
• ·
• v
• j
• v
• i
• +
• w
• ·
• ∑
• j
• ⁢
• v
• j
• where
• xi represents coordinates of the center of the i_th cell,
• F( xi,t) represents the value of the i_th cell at time t,
• vi represents the distance,
• w represents a second preset value, and
• j indicates a neighbourhood of cells of the i_th cell;
• determining a sum in modulus of a variation of the value associated with each cell between the time t and the time t+1;
• and
• repeating said determining the value associated with each cell of the three-dimensional matrix of cells if the sum in modulus is greater than a third preset value.