In this report I will describe a method of creating animations of gyrating objects in Mathematica [4]. There are 4 inputs to a function called trajectory, which are a time step, maximum time duration, initial force vector, and a 3x3 matrix that represents a tensor for the gyration of the object. I utilized the computer program Mathematica [4] to create 3D images of a gyrating object in the object frame of view. A collection of these images were put together in order to make an animation, which can be used as a tool for future researchers to investigate interesting paths of gyrations an object can take. Such animations can be as complicated or as simple as the researcher requires, depending on the particular goals of the researcher
This paper presents an engine for dynamic animation of solid systems based upon Lagrangian equations...
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The idea of using physics-based models has received considerable interest in computer graphics and c...
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This report presents the design of an extensible animation system in which rigid and deformable mult...
Mathematica is an integrated environment for symbolic transformation of mathematical formulas. This ...
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When performed with conventional methods such as keyframing, computer animation of soft and highly f...
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The theoretical background and implementation for a computer animation system to model a general cla...
This paper describes an animation interactive system that produces image sequences used to study the...
This paper presents an engine for dynamic animation of solid systems based upon Lagrangian equations...
A technique is discussed for the interactive specification and real-time evaluation of the movements...
The idea of using physics-based models has received considerable interest in computer graphics and c...
This paper will provide an overview of animation techniques and methods which are or in the future w...
This report presents the design of an extensible animation system in which rigid and deformable mult...
Mathematica is an integrated environment for symbolic transformation of mathematical formulas. This ...
The paper is focused on research software called Elica that allows students to build basic geometric...
In three dimensional animatio, we mainly distinguish two important approaches, based either on descr...
Particle-based models and articulated models are increasingly used in synthetic image animation appl...
In this tutorial we will give an overview of Geometric Algebra and its application to computer graph...
AbstractThis paper introduces the theory about tree modeling and dynamic movements simulation in com...
When performed with conventional methods such as keyframing, computer animation of soft and highly f...
In this paper we analyse to what extent the computational model of the geometry implemented in a dyn...
The theoretical background and implementation for a computer animation system to model a general cla...
This paper describes an animation interactive system that produces image sequences used to study the...
This paper presents an engine for dynamic animation of solid systems based upon Lagrangian equations...
A technique is discussed for the interactive specification and real-time evaluation of the movements...
The idea of using physics-based models has received considerable interest in computer graphics and c...