发明名称 Method for Determining the Three-Dimensional Surface of an Object
摘要 The present invention refers to a method for determining the three-dimensional surface of an object. In an embodiment thereof the method for determining the three-dimensional surface of an object comprises the phases of: defining (1) the coordinates of a plurality of points of said object; defining (2) a three-dimensional matrix of cells that contains said object to which a value can be associated; determining (3) the distance between each centre of said cells of said three-dimensional matrix of cells and the closest point of said plurality of points of said object; setting (4) the value of several cells of said three-dimensional matrix of cells at a first preset value; determining (7) the value that each cell of said three-dimensional matrix of cells assumes, with the exception of said several cells, by means of the following formula <maths id="MATH-US-00001" num="1"> <MATH OVERFLOW="SCROLL"> <MROW> <MROW> <MI>F</MI> <MO>⁡</MO> <MROW> <MO>(</MO> <MROW> <MSUB> <MOVER> <MI>x</MI> <MI>_</MI> </MOVER> <MI>i</MI> </MSUB> <MO>,</MO> <MROW> <MI>t</MI> <MO>+</MO> <MN>1</MN> </MROW> </MROW> <MO>)</MO> </MROW> </MROW> <MO>=</MO> <MFRAC> <MROW> <MROW> <MROW> <MI>F</MI> <MO>⁡</MO> <MROW> <MO>(</MO> <MROW> <MSUB> <MOVER> <MI>x</MI> <MI>_</MI> </MOVER> <MI>i</MI> </MSUB> <MO>,</MO> <MI>t</MI> </MROW> <MO>)</MO> </MROW> </MROW> <MO>.</MO> <MSUB> <MI>v</MI> <MI>i</MI> </MSUB> </MROW> <MO>+</MO> <MROW> <MI>w</MI> <MO>.</MO> <MROW> <MUNDER> <MO>∑</MO> <MI>j</MI> </MUNDER> <MO>⁢</MO> <MROW> <MROW> <MI>F</MI> <MO>⁡</MO> <MROW> <MO>(</MO> <MROW> <MSUB> <MOVER> <MI>x</MI> <MI>_</MI> </MOVER> <MI>j</MI> </MSUB> <MO>,</MO> <MI>t</MI> </MROW> <MO>)</MO> </MROW> </MROW> <MO>.</MO> <MSUB> <MI>v</MI> <MI>j</MI> </MSUB> </MROW> </MROW> </MROW> </MROW> <MROW> <MSUB> <MI>v</MI> <MI>i</MI> </MSUB> <MO>+</MO> <MROW> <MI>w</MI> <MO>.</MO> <MROW> <MUNDER> <MO>∑</MO> <MI>j</MI> </MUNDER> <MO>⁢</MO> <MSUB> <MI>v</MI> <MI>j</MI> </MSUB> </MROW> </MROW> </MROW> </MFRAC> </MROW> </MATH> </MATHS> where <O OSTYLE="SINGLE">x<SUB>i </SUB>represents the coordinates of the centre of the i_th cell, F( <O OSTYLE="SINGLE">x<SUB>i</SUB>, t) represents the value of the i_th cell at time t, v<SUB>i </SUB>represents said distance, w represents a second preset value, and j indicates a neighbourhood of cells of the i_th cell; determining (9) the sum in module of the variations of the value of each cell between the time t and the time t+l; repeating (10) said phase of determining the value that each cell of said three-dimensional matrix of cells assumes if said sum is greater than a third preset value.
申请公布号 US2007229493(A1) 申请公布日期 2007.10.04
申请号 US20040572634 申请日期 2004.09.13
申请人 POLITECNICO DI MILANO 发明人 TUBARO STEFANO;SARTI AUGUSTO;PICCARRETA LUCA;MARCON MARCO
分类号 G06T15/00;G06T17/20 主分类号 G06T15/00
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