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Three-dimensional plant cell flexible surface geometric modeling method and model

A plant cell and flexible surface technology, applied in the field of bioinformatics, can solve the problems that plant cells cannot be realized

Pending Publication Date: 2021-01-05
JIANGXI AGRICULTURAL UNIVERSITY
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Problems solved by technology

[0015] Although the above modeling methods can realize the two-dimensional shape of cells or the topology of three-dimensional cells, it is impossible to realize that plant cells belong to ultra-flexible three-dimensional geometric objects.

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  • Three-dimensional plant cell flexible surface geometric modeling method and model
  • Three-dimensional plant cell flexible surface geometric modeling method and model
  • Three-dimensional plant cell flexible surface geometric modeling method and model

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Embodiment 1

[0066] This embodiment proposes a three-dimensional geometric modeling technology that combines the topological structure of cell shape with surface modeling. Include the following steps:

[0067] Step 1, using n-dimensional generalized mapping to establish a topological model of the flexible shape of the cell

[0068] In terms of plant cell shape topology, the cell shape structure is decomposed into topological units in different n-dimensional spaces, such as image 3 As shown, the topological Cycle unit on the surface of the two-dimensional cell is decomposed into five one-dimensional topological edges from left to right, and each topological edge is decomposed into a zero-dimensional topological point unit.

[0069] In the process of topological decomposition of cell shape, not only the topologies in different dimensions need to be obtained, but also the topological relations in different dimensions need to be stored, such as Figure 4 Shown is the order-topological relat...

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Abstract

The invention belongs to the technical field of biological information, and particularly relates to a three-dimensional plant cell flexible surface geometric modeling method and model. The method comprises the steps: establishing a cell flexible shape topological model through n-dimensional generalized mapping, wherein the topological data structure can store geometric information of cells and deformation mechanics information of the cells, thereby facilitating later maintenance; describing details of geometrical cells and cell shapes by adopting a B-spline surface; and designing geometric top, edge and surface query to locate a geometric object needing flexible deformation, so that a user can freely query any unit of the geometric model. According to the established model, the relation between deformation of the curved surface and force can be further established by means of Hooke's law, a point, line and surface topological unit query algorithm is researched and designed by means ofthe method, a cell geometry corresponding unit is positioned, and coordinates of control points of the curved surface to which the cell geometry corresponding unit belongs are modified to achieve flexible deformation of the three-dimensional shape of the cell.

Description

technical field [0001] The invention belongs to the technical field of biological information, and in particular relates to a three-dimensional plant cell flexible surface geometric modeling method and model. Background technique [0002] In the study of biological organ or tissue morphological modeling, animals started earlier than plants. In terms of using geometry to describe the shape of organisms, British mathematical biologist Thompson first published "Growth and Form" in 1917. In his book, he explained The scale of animal shape and the surface tension of soap film-like structures (such as cells), and the geometry of animal skulls on Cartesian grids using the "Thompson transformation method", although this method involves the initial stage of organism development and the morphology of mature stages , but ignoring the formation and differentiation of new organs, this limitation continued until the end of the 1960s to be resolved. In terms of reaction-diffusion theory, ...

Claims

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Application Information

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IPC IPC(8): G16B5/00G16B45/00
CPCG16B5/00G16B45/00
Inventor 易文龙赵应丁蒋英肇杨红云殷华
Owner JIANGXI AGRICULTURAL UNIVERSITY
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