Research and Motion Analysis of Multi-Object Compact Layout Based on CPR in 2D

2014 ◽  
Vol 607 ◽  
pp. 821-825
Author(s):  
Yu Jia Zheng ◽  
Feng Ying Long ◽  
Jun Yan Ma ◽  
Wei Xia ◽  
Biao Chen ◽  
...  
Keyword(s):  
Convex Hull ◽  
Motion Analysis ◽  
Lightweight Design ◽  
Rubber Band ◽  
Digital Design ◽  
Collision Response ◽  
Three Stages

Compact layout is a problem widely faced in many branches of science, engineering, is also the key point in lightweight design of product. With the perspective of digital design we divided the layout procedure into three stages-only outers, outer-inner, more objects involved-based on (convex hull plus rubber band) CPR. Motion analysis in each stage is done respectively according to physics principles. Rules of Multi-Object collision response are built in two forms, vertex-edge and edge-edge. Objects motions are determined by their motion analysis and collision response rules. An example of Multi-Object compact layout in stimulation platform is given and feasibility of the method is confirmed.

Collision Detection Analysis of 2D Layout Based on Convex Hull Plus Rubber Band Simulation

2014 ◽  
Vol 488-489 ◽  
pp. 1480-1484
Author(s):  
Juan Lu ◽  
Jia Xun Wei ◽  
Wei Xia ◽  
Jun Yan Ma ◽  
Li Ying ◽  
...  
Keyword(s):  
Convex Hull ◽  
Collision Detection ◽  
Design Method ◽  
Rubber Band ◽  
Digital Design ◽  
Detection Methods ◽  
Movement Model ◽  
Model Based ◽  
Collision Response ◽  
Optimized Model

It is an innovative design method in physics that product layout design is abstracted into convex hull plus rubber band simulation layout mode by setting up the optimized model. Based on the physics model of Newtons Second Law, this paper analyzed collision detection methods during the process of realizing reasonable layout, and it is founded that real-time collision detection and collision response during movement, produced components within the given beat, appeared to be the key content of resolving digital model design. In this paper, Area Difference method was adopted to detect when the collision occurred during component movement and what kind of state the component tended to be in collision. At the same time, it also determined the interference degree, solved critical point pose for collision response as well as its generation time and related torque and force, which can confirm the components continued movement model of rotation and sliding. Meanwhile, it employed the Judgment Matrix method to analyze collision response so as to confirm the collision interference relationship and collision action state, movement possessing mode (rotation, sliding and retraction, etc.) within the remaining time after collision with given beat during the layout process. All these provided with a practical solution for digital design of optimized model based on convex hull plus rubber band simulation compact layout.

Digital Modeling and Movement Resolution of Rubber Band Analogy for 2D Packing Problem

2012 ◽  
Vol 220-223 ◽  
pp. 2466-2470 ◽  
Author(s):  
Jun Yan Ma ◽  
Xiao Ping Liao ◽  
Juan Lu ◽  
Hong Yao
Keyword(s):  
Convex Hull ◽  
Extreme Points ◽  
Packing Problem ◽  
Rubber Band ◽  
Scanning Method ◽  
Resultant Vector ◽  
Digital Modeling ◽  
Volume Decrease ◽  
Modeling Algorithm

Packing problem is how to arrange the components in available spaces to make the layout compact. This paper adopts a digital modeling algorithm to establish a novel rubber band convex hull model to solve this problem. A ray scanning method analogy QuickHull algorithm is presented to get extreme points of rubber band convex hull. A plural vector expression approach is adopted to movement resolution,which calculate the resultant vector to translate, rotate and slide the subbody to make the volume decrease. An experiment proved this digital modeling algorithm effective.

Modeling of 2D Layout Design System Based on Convex Hull Plus Rubber Band Analog

2012 ◽  
Vol 215-216 ◽  
pp. 1219-1223 ◽  
Author(s):  
Xiao Ping Liao ◽  
Juan Lu ◽  
Jun Yan Ma ◽  
Jia Hai Xue ◽  
Xiao Mo Yu
Keyword(s):  
Convex Hull ◽  
Data Processing ◽  
Collision Detection ◽  
Rubber Band ◽  
Layout Design ◽  
Boolean Logic ◽  
Design System ◽  
Scanning Method ◽  
Modeling Methods ◽  
Novel Approach

This paper introduces a novel approach to develop a 2D layout system based on the convex hull plus rubber band analogy. The data processing of convex hull and the rubber band analogy modeling methods are elaborated practically; The rubber band simulating model is built quickly by using the ray scanning method; Collision detection by area algorithm based on Boolean logic is processed; The practical cases of developing 2D layout system are demonstrated to illustrate that the proposed approaches are effective.

Motion Path Editing Based on Constraint Detection

2012 ◽  
Vol 433-440 ◽  
pp. 3780-3786
Author(s):  
Gao Yan ◽  
Jian Zhong Xu
Keyword(s):  
Motion Analysis ◽  
Motion Capture ◽  
Human Motion ◽  
Motion Path ◽  
Direct Manipulation ◽  
Three Stages

This paper introduces a method for interactive direct manipulation of motion capture animation, which allows a user to alter positional properties of a motion and preserves the motions’ quality. The algorithm contains three stages: motion analysis, motion path editing, and constraint reconstruction. Our experiments show that by using the algorithm human motion can be transformed successfully from the old path to the new path.

Packing Optimisation Using a Rubberband Analogy

2001 ◽  
Author(s):  
Georges M. Fadel ◽  
Avijit Sinha ◽  
Todd McKee
Keyword(s):  
Convex Hull ◽  
Relative Position ◽  
Dimensional Space ◽  
Packing Problem ◽  
Rubber Band ◽  
Single Component ◽  
Three Dimensions ◽  
Two Dimensional ◽  
Optimal Packing ◽  
3 Dimensional

Abstract Packing is a topic of interest in many fields. During our research on the underhood-packing problem, we observed that to bring components together — without switching their relative position — one could use the analogy of a rubber object stretched around the artifacts. In two-dimensional space, that object is a rubber band, and in three-dimensions, it is a balloon. Using this analogy, the convex hull can be used to determine the direction of forces applied to a single component, and a motion can result from the application of such forces. The objects can then be moved until contact occurs, at which point the forces become moments, and the objects can rotate with respect to each other. This technique can guarantee locally optimal packing, and displays a very intuitive behavior that might lead to further advances in optimization. This paper introduces the methodology for optimizing the packing of 2-dimensional geometric entities (polygons) in a plane and of 3-dimensional objects in space using the Rubber band Analogy.

Digital Design of Children's Battery Car

2011 ◽  
Vol 291-294 ◽  
pp. 2443-2446
Author(s):  
Qiu Lei Du
Keyword(s):  
Virtual Manufacturing ◽  
Digital Design ◽  
Overall Design ◽  
Three Stages ◽  
Design Idea ◽  
Idea Improvement

Digital design of children's battery car is a comprehensive design, which involves many fields such as man-machine engineering, art shaping and so on. This paper discusses the overall design, local design and digital design of children's battery car; and the three stages including preparation and design idea, improvement and virtual manufacturing about digital design of children's battery car have been analyzed.

A NOVEL CONNECTIONIST FRAMEWORK FOR COMPUTATION OF AN APPROXIMATE CONVEX-HULL OF A SET OF PLANAR POINTS, CIRCLES AND ELLIPSES

2006 ◽  
Vol 16 (01) ◽  
pp. 15-28 ◽  
Author(s):  
SRIMANTA PAL ◽  
SABYASACHI BHATTACHARYA ◽  
NIKHIL R. PAL
Keyword(s):  
Neural Network ◽  
Convex Hull ◽  
Rubber Band ◽  
Parameter Vector ◽  
Current Position ◽  
Direction Of Movement ◽  
Set Of Points ◽  
The Given ◽  
As If

We propose a two layer neural network for computation of an approximate convex-hull of a set of points or a set of circles/ellipses of different sizes. The algorithm is based on a very elegant concept — shrinking of a rubber band surrounding the set of planar objects. Logically, a set of neurons is placed on a circle (rubber band) surrounding the objects. Each neuron has a parameter vector associated with it. This may be viewed as the current position of the neuron. The given set of points/objects exerts a force of attraction on every neuron, which determines how its current position will be updated (as if, the force determines the direction of movement of the neuron lying on the rubber band). As the network evolves, the neurons (parameter vectors) approximate the convex-hull more and more accurately. The scheme can be applied to find the convex-hull of a planar set of circles or ellipses or a mixture of the two. Some properties related to the evolution of the algorithm are also presented.

Design of objective lens for 200-kV high-resolution electron microscopes

1983 ◽  
Vol 41 ◽  
pp. 314-315
Author(s):  
K. Tsuno ◽  
T. Honda ◽  
Y. Harada ◽  
M. Naruse
Keyword(s):  
Optical Properties ◽  
Computer Technology ◽  
Axial Magnetic Field ◽  
Chromatic Aberration ◽  
Objective Lens ◽  
Resolution Electron ◽  
Correction Of Astigmatism ◽  
Three Stages ◽  
Electron Microscopes ◽  
Stage 1

Developement of computer technology provides much improvements on electron microscopy, such as simulation of images, reconstruction of images and automatic controll of microscopes (auto-focussing and auto-correction of astigmatism) and design of electron microscope lenses by using a finite element method (FEM). In this investigation, procedures for simulating the optical properties of objective lenses of HREM and the characteristics of the new lens for HREM at 200 kV are described.The process for designing the objective lens is divided into three stages. Stage 1 is the process for estimating the optical properties of the lens. Firstly, calculation by FEM is made for simulating the axial magnetic field distributions Bzc of the lens. Secondly, electron ray trajectory is numerically calculated by using Bzc. And lastly, using Bzc and ray trajectory, spherical and chromatic aberration coefficients Cs and Cc are numerically calculated. Above calculations are repeated by changing the shape of lens until! to find an optimum aberration coefficients.

Formation of Dislocation Channels in Neutron Irradiated Molybdenum

1972 ◽  
Vol 30 ◽  
pp. 672-673
Author(s):  
S. Mahajan
Keyword(s):  
Electron Microscopy ◽  
Transmission Electron Microscopy ◽  
Ambient Temperature ◽  
Room Temperature ◽  
Channel Formation ◽  
Early Stages ◽  
Transmission Electron ◽  
Three Stages ◽  
Two Stages ◽  
Polycrystalline Molybdenum

The evolution of dislocation channels in irradiated metals during deformation can be envisaged to occur in three stages: (i) formation of embryonic cluster free regions, (ii) growth of these regions into microscopically observable channels and (iii) termination of their growth due to the accumulation of dislocation damage. The first two stages are particularly intriguing, and we have attempted to follow the early stages of channel formation in polycrystalline molybdenum, irradiated to 5×1019 n. cm−2 (E > 1 Mev) at the reactor ambient temperature (∼ 60°C), using transmission electron microscopy. The irradiated samples were strained, at room temperature, up to the macroscopic yield point.Figure 1 illustrates the early stages of channel formation. The observations suggest that the cluster free regions, such as A, B and C, form in isolated packets, which could subsequently link-up to evolve a channel.

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