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Method for obtaining geometric mass center of object

An object and centroid technology, applied in image data processing, instrumentation, computing, etc., to achieve the effects of good robustness, low computational cost, and insensitivity to noise

Active Publication Date: 2017-03-22
NINGBO UNIV
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  • Description
  • Claims
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Problems solved by technology

Obviously, the center of mass obtained based on the above physical definition cannot meet this requirement

Method used

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  • Method for obtaining geometric mass center of object
  • Method for obtaining geometric mass center of object
  • Method for obtaining geometric mass center of object

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Embodiment Construction

[0051] The present invention will be further described in detail below in conjunction with the accompanying drawings and embodiments.

[0052] Such as figure 1 As shown, the method for obtaining the geometric centroid of an object in this embodiment is used for an object formed by a three-dimensional manifold. The method for obtaining the geometric centroid of an object includes the following steps 1 to 6:

[0053] Step 1, calculate the internal distance of the three-dimensional manifold; since each three-dimensional manifold can be regarded as formed by multiple tetrahedrons, each three-dimensional manifold can be regarded as a structure formed by multiple tetrahedrons Tetrahedral grid, an object corresponds to a three-dimensional manifold model; wherein, in this embodiment, the calculation process of the internal distance of the three-dimensional manifold includes the following steps 1-1 to step 1-3:

[0054] Step 1-1, discretizing the three-dimensional manifold model corre...

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Abstract

The invention relates to a method for obtaining a geometric mass center of an object, and the method is used for the object formed by a 3D manifold. The method comprises that the internal distance of the 3D manifold is calculated; an energy function model aimed at the 3D manifold is constructed, an energy function is minimized by using a gradient descent method, and a gradient function corresponding to the 3D manifold is obtained; according to the obtained gradient function of the energy function of the 3D manifold, a shortest path between two points in the 3D manifold is obtained; and N different initial values are selected randomly from points in the 3D manifold, the energy function is optimized, an optimal energy function value is obtained, and a point corresponding to the optimal energy function value serves as the geometric mass center of the object. The method can ensure that the mass center is positioned inside the 3D manifold and is not influenced by the appearance of the object, and adverse influence of noise and deformation can be avoided.

Description

technical field [0001] The invention relates to the field of three-dimensional model measurement, in particular to a method for obtaining the geometric centroid of an object. Background technique [0002] The center of mass, also known as the center of mass, has a clear definition in physics: for a three-dimensional manifold in Euclidean space, the coordinates of its center of mass can be obtained by solving the weighted average of the coordinates of all points inside it, and the center of mass can make the moment of inertia reach minimum. [0003] However, when the shape of the object is non-convex, the center of mass obtained according to the physical definition may fall outside the non-convex object. In many applications of digital geometry processing, it is required that the centroid must fall inside the three-dimensional manifold, and the centroid must be insensitive to noise and deformation. Obviously, the center of mass obtained based on the above physical definitio...

Claims

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Application Information

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IPC IPC(8): G06T7/66
Inventor 陈双敏陈能仑刘超辛士庆
Owner NINGBO UNIV
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