Interactive Animation of Shoals Based on Mathematical Ecology

基于数学生态学的浅滩交互动画

• 批准号: 17500077
• 负责人: YOSHIDA Norimasa
• 金额: $ 1.92万
• 依托单位: Nihon University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2005
• 资助国家: 日本
• 起止时间: 2005 至 2006
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-17500077/
• 关键词: interactive visual simulation; boid algorithm; mathematical ecology; Lotka-volterra's equation; ロトカ・ヴォルテラの式; ビジュアルシミュレーション

In this research, we have developed an interactive visual simulation of ecosystems, in which fish schools are visualized with changing the population. In computer graphics, a computer model of coordinated animal motion, which is called the boid algorithm, is a well-known technique and is used in many programs, such as computer games. Although the realistic visualization of flocking creatures is possible using the boid algorithm, the birth, growth, and death of creatures are not taken into consideration. Mathematical ecology deals with population dynamics, the fluctuations of the number of individuals of different species. We developed a interactive visual simulation system in which the schools of fish are formed by the boid algorithm and the numbers of fish are changed with time through their birth, growth, and death based on the Lotka-Volterra's equations. Two kinds of Lotka-Volterra's equations are dealt with: (1) competing two species model and (2) predator-prey model. To add the interaction by the user, the user can change the number of individuals by placing a circular net in the field to capture them and henceforth decreasing the number of individuals. After changing the population, the user can visually see its effect.

在这项研究中，我们开发了一种生态系统的交互式视觉模拟，其中鱼群随着种群数量的变化而可视化。在计算机图形学中，协调动物运动的计算机模型（称为 boid 算法）是一项众所周知的技术，并在许多程序中使用，例如计算机游戏。尽管使用 boid 算法可以实现成群生物的真实可视化，但没有考虑生物的出生、生长和死亡。数学生态学研究种群动态，即不同物种个体数量的波动。我们开发了一个交互式视觉模拟系统，其中鱼群由 boid 算法形成，鱼的数量根据 Lotka-Volterra 方程通过出生、生长和死亡随时间变化。处理两种Lotka-Volterra 方程：（1）竞争两个物种模型和（2）捕食者-被捕食者模型。为了添加用户的交互，用户可以通过在场中放置圆形网来捕获个体来改变个体的数量，并从此减少个体的数量。改变人口后，用户可以直观地看到其效果。

项目成果

Approximation of an Aesthetic Curve Segment by a Rational Cubic Bezier Curve Segment

用有理三次贝塞尔曲线段逼近审美曲线段

• 发表时间: 2006
• 期刊: Information Processing Society of Japan, SIG-GCAD Vol.2006, No.199
• 作者: 渡邉亮一;伊藤雄一;北村喜文;岸野文郎;菊池日出男;N.Yoshida
• 通讯作者: N.Yoshida

Interactive Visual Simualtion of Ecosystems -Visualizing Fish Schools Changing the Populations-

生态系统的交互式视觉模拟-可视化鱼群改变种群-

• 发表时间: 2005
• 期刊: Computer Graphics and Imaging (CGIM 2005)
• 作者: N.Yoshida;D.Sato
• 通讯作者: D.Sato

Interactive aesthetic curve segments

• DOI: 10.1007/s00371-006-0076-5
• 发表时间: 2006-09
• 期刊: The Visual Computer
• 作者: N. Yoshida;Takafumi Saito

Interactive Visual Simulation of Ecosystems - Visualizing Fish Schools Changing the Populations -

生态系统的交互式视觉模拟 - 可视化改变种群的鱼群 -

• 发表时间: 2005
• 期刊: Computer Graphics and Imaging (CGIM 2005),
• 作者: Y.Itoh;T.Yamaguchi;Y.Kitamura;F.Kishino;N.Yoshida
• 通讯作者: N.Yoshida

Interactive Visual Simulation of Ecosystems - Visualizing Fish Schools Changing the Populations-

生态系统的交互式视觉模拟 - 可视化改变种群的鱼群 -

• 发表时间: 2005
• 期刊: Computer Graphics and Imaging
• 作者: R.Watanabe;Y.Itoh;Y.Kitamura;F.Kishino;H.Kikuchi;N.Yoshida
• 通讯作者: N.Yoshida