Abstract
As a major food production crop in China, the growth and development of rice is an extremely complex systemic process, and the root system is the main organ for rice to obtain nutrients. Therefore, 3D modeling and visualization of the rice root system can help to further understand its morphology, structure and function, and provide an aid for scientific cultivation of rice and improving rice yield for decision making. In this paper, a mathematical model of the rice root system is established based on the B spline curve combined with the L-system approach, using mathematical knowledge based on the 3D morphological characteristics of the real rice root system. The B-Spline Curve is chosen to simulate this, and the recursive definition of B-Spline Curve and its formula are used to realize the modeling of the rice root system curve. Based on the mathematical method of rice root system integration, the bending effect of rice root system at different periods and different growth positions is realized. Finally, the L-system combined with B-Spline Curve is used to construct a rice root system model and realize the rice root system visualization simulation. The simulated image is closer to the real rice root system image in terms of morphological structure and has a strong sense of realism.
Highlights
In the rice root system L-system, the coordinates of the start and end nodes expressing the inter-root segment character F are first calculated; the control nodes are determined, which can be added between the start and end nodes or based on the convex packet direction of the root system as well as the growth space direction; the bending characteristics of the root system are modeled by the de Boor-Cox recurrence formula, which is combined with the B-Spline Curve designed by the rice root system L-system
The modeling and visualization simulation of rice root system is an important component of 3D simulation of rice growth
The B-Spline Curve combined with L-system is used to construct a rice root system model
Summary
With the development of agricultural information technology and computer graphics, it is possible to simulate the process of plant growth and development on a computer. Scholars have done in-depth studies on the rice root system, including rice root morphology, physiological functions, the relationship between the root system and the above-ground parts, and the influence of cultivation and management measures. Variable technologies, such as L-system, LiDA and Kinect and other high-precision sensor applicable methods, structured light method, 3D digitization, multi-view image method and binocular stereo vision method have been applied on the visualization and modeling of the rice root system[12]. In this paper, based on the previous research, we improve the method of rice root system visualization modeling by using L-system combined with B-Spline Curve to describe the indeterminate and branching root curves of rice root system, and combine the integral mathematical method to construct the B-Spline Curve-based rice root system visualization model
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