Form-Optimizing in Biological Structures — The Morphology of Seashells

Stach, Edgar

doi:10.1142/9789812837219_0012

Cited by 2 publications

(2 citation statements)

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“…However, it is quite difficult to rebuild the modeling of the natural pattern, as this free-form surface can not be represented by the direct analytic function. For this reason it is easy to understand the interested designers have different techniques like bionics and mathematics theory (Stach [2]). The data points of the surface can be acquired by methods derived from bionics or reverse engineering, and then can be used to reconstruct the whole surface by techniques of mathematics.…”

Section: Introductionmentioning

confidence: 99%

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New Modeling Technique for Bionic Space Grid Structures

Li¹,

Luo²

2009

Volume 5 Number 1

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This paper is intended to introduce a new modeling technique for bionic space grid structures. Utilizing the methods derived from bionics and reverse engineering, the modeling technique acquires geometric data points of the natural patterns. Generally, the theory of bionics is used to express the forms of spatial patterns in direct analytic function of curves or surfaces. In this paper, the key point is to express obvious geometric features in data points. For more complicated natural patterns, it is convenient to get data points by three-dimensional (3D) measurement in reverse engineering. So this paper introduces the 3D measurement and explains the manipulations of the data points detailedly. Then the free-form surface of the natural pattern is reconstructed and meshed by the re-interpolation reflection meshing method, which combines the bi-cubic B-spline interpolation of surface and reflection meshing method. In order to satisfy the practical requirement, several meshing ways and evaluation functions of grid quality are proposed. There are several illustrated design examples are presented.

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Section: Introductionmentioning

confidence: 99%

“…Raup [3] found that the surface of seashells could be expressed by four basic parameters. Stach [2] described three familiar seashells with those basic parameters and obtained the corresponding analytical curves. The 3D measurement is derived from the reverse engineering of geometric models.…”

Section: Introductionmentioning

confidence: 99%