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Topic: Inverse kinematics

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Inverse kinematic animation

Ragdoll physics

Verlet integration

3D computer graphics

Embedded system

	Applying Inverse Kinematics to Animate Molecules (Site not responding. Last check: 2007-10-18)
		The goal of this project was to use some of the inverse kinematics techniques to generate molecular configurations for a known molecule.
		Inverse kinematics is a widely used technique in robotics to compute rotational angles between joints for a given set of links, their starting position, and the desired position for the end effector [1].
		Although inverse kinematics is a very useful technique, a solution for it in the molecular world required the molecular chain to be over simplified and treat several parameters as constants.
	www.cs.utexas.edu /~bongbong/molecular/sadia/Inverse.htm (1190 words)

	Inverse kinematics -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-18)
		The solution to the forward (The branch of mechanics concerned with motion without reference to force or mass) kinematics problem, given these angles, is the desired posture of the figure.
		For (The technician who produces animated cartoons) animators, the inverse kinematics problem is of great importance.
		Applications of inverse kinematic algorithms include interactive manipulation, animation control and (Click link for more info and facts about collision avoidance) collision avoidance.
	www.absoluteastronomy.com /encyclopedia/i/in/inverse_kinematics.htm (299 words)

	3D Theory - Kinematics - Joints - Martin Baker
		Forward Kinematics - From the amounts of rotation and bending of each joint in an arm, for example, the position of the hand can be calculated.
		Inverse Kinematics - If the hand is moved, the rotation and bending of the arm is calculated, in accordance with the length and joint properties of each section of the arm.
		For inverse kinematics (IK), the position of the end point is known, and we need to find the angles of the joints.
	www.euclideanspace.com /physics/kinematics/joints (1151 words)

	Simulation of Human Body Kinematics
		Inverse dynamics deals with determination of forces and kinetic energy that are needed to reach the given goal.
		Inverse kinematics is based on an opposite approach as direct kinematics.
		Kinematics chain is a sequence of segments and joints.
	www.cg.tuwien.ac.at /studentwork/CESCG/CESCG-2000/RFilkorn (2764 words)

	Inverse Kinematics
		Inverse kinematics solves for the joint angles given the desired position and orientation in Cartesian space.
		One possible approach is to decouple the inverse kinematics problem into two simpler problems, known respectively, as inverse position kinematics, and inverse orientation kinematics [1, 3].
		To put it in another way, for a six-DOF manipulator with a spherical wrist, the inverse kinematics problem may be separated into two simpler problems, by first finding the position of the intersection of the wrist axes,the center,and then finding the orientation of the wrist.
	www.bridgeport.edu /~abuzneid/ppp/node7.html (602 words)

	Inverse Kinematics of the Human Arm (Site not responding. Last check: 2007-10-18)
		Inverse kinematics allows the computation of the location and orientation of untracked body segments from only a few tracked segments.
		In developing inverse kinematics, one is interested in finding the joint angles from a knowledge of the end-effector's coordinates.
		The inverse kinematics developed in this project allow participants to wear a minimum number of tracking devices (in this case one for each hand, one for the head, and one for the torso) in order to obtain accurate representations of their actual hand/arm positions.
	www.isso.uh.edu /publications/A9798/loftin.htm (597 words)

	Generalized Inverse Kinematics - Expert Witness Testimony & Forensic Engineering (Site not responding. Last check: 2007-10-18)
		The performance criteria include kinematic: based on first and second-order geometric properties of the manipulator structure, inertial: based on the geometric coupling in the manipulator's dynamic equations, kinetic energy: based on system level kinetic energy distribution properties of the individual links, compliance: based on the link and joint compliances of the manipulator structure.
		A general approach to the inverse kinematics problem is required to interpret the criteria information while choosing the desired join-level trajectory for the robot.
		A general approach to the inverse kinematics problem must apply to all robots, allow for the incorporation of unlimited performance criteria and provide a balance between task planning requirements and manipulator performance of the task.
	www.safemachines.com /nDOF.htm (372 words)

	Reference Material - IK (Site not responding. Last check: 2007-10-18)
		Inverse Kinematics reverses that hierarchy to a degree by allowing the child to - a defined degree - affect the movement of its parents.
		Inverse Kinematics is also a powerful tool for animating fluid movements among large, complicated parent / child relationships.
		When an item's individual control is given over in favor of a inverse kinematics, setting limits gives the user the ability to restrict the broad spectrum of movements possible.
	art-design.smsu.edu /yarberry/Courses/Reference/IK (597 words)

	What is inverse kinematics?
		With forward kinematics, when you pose a joint chain you have a specify the rotations of each joint individually, starting from the parent joint on down to all the joints below.
		With inverse kinematics, when you pose a joint chain all you have to do is tell the lowest joint chain's hierarchy where you want it to be, and all the joints above it will rotate automatically.
		Inverse kinematics offers a very intuitive way to pose a joint chain because it enables goal-directed posing.
	www.alias.com /eng/support/studiotools/documentation/Animating/aboutAnimation10.html (531 words)

	Kinematics in TutorGig Encyclopedia
		In physics, kinematics is the branch of mechanics concerned with the motion s of objects without being...
		Robot kinematics is the study of the motion of robot s kinematic s is the study of motion.
		the kinematics to derive the kinetics responsible for the motion.
	www.tutorgig.com /es/Kinematics (704 words)

	Inverse Kinematics on the Java 3D(tm) Scene Graph
		Kinematics, the study of the motion of bodies without regard to their masses or the forces causing their motion, has been around for centuries.
		Inverse kinematics solvers have long been fixtures in computational modeling with particular activity in robotics, in human figure animation, and in proprietary CAD and machine design software.
		This paper describes a general approach to solving inverse kinematics on the Java 3D™ scene graph and illustrates the approach using a particular example from classical mechanics with a focus on methods suitable for high fidelity simulation of continuous processes.
	www.brockeng.com /VMech/IK/IKSG.htm (2852 words)

	Inverse Kinematics: (Site not responding. Last check: 2007-10-18)
		With the concept of the 2D plane, there are issues within the notation that cannot be solved with forward kinematics without completely `hard-coding' the values into the array storing all the rotation values for the body joints.
		This contact glyph specifies the position required exactly, but in terms of rendering, it is left completely open to interpretation as to where the knee is bent to achieve this meaning the use of inverse kinematics, as explained in §3.4.2, for positioning the foot into a related position calculates angles for the joints.
		In Figure 4.13 we see the results of inverse kinematics, using the code and how it maps to the equation given in the earlier chapters.
	www.scs.leeds.ac.uk /royce/research/ugreport/node48.html (475 words)

	Inverse Kinematics of the Human Arm (Site not responding. Last check: 2007-10-18)
		The inverse kinematics problem of the human arm can be stated as follows: given the position and the orientation of the hand, find the seven joint angles.
		The basic strategy of their approach is to reduce the degrees-of-freedom of the arm by one, so that we can obtain the closed-form equations that solve the inverse kinematics.
		Since all the inverse kinematic approaches may produce joint angles which violate their limits, the joint angles corresponding to the swivel angle obtained from the sensorimotor transformation sometimes extend beyond their legal ranges.
	www.isso.uh.edu /publications/A9697/9697-8.html (1868 words)

	Inverse Kinematics on the Scene Graph
		However, the 'acyclic' part means that there is nothing inherent in the object structure of the acyclic tree that helps describe the way that the piston fits back into the cylinder (a part of the crankcase.) As far as the acyclic tree is concerned, the connecting rod and the piston can flap in the wind.
		kinematics - the branch of mechanics that studies the motion of a body or a system of bodies without consideration given to its mass or the forces acting on it.
		'Kinematics' because they are studying the way parts move, and 'inverse' because the process tends to works backward up the tree from the position requirement to the root.
	www.brockeng.com /VMech/inverse.htm (841 words)

	Introduction to Inverse Kinematics
		Inverse kinematics, however, is difficult: most real systems are underconstrained, so for a given goal position, there could be infinite solutions (i.e.
		The field of robotics has developed many inverse kinematics systems which, due to their constraints, have closed-form solutions.
		The inverse kinematics problem for computer animation is much harder because it must work for arbitrary figures, like human arms or legs.
	www.nbb.cornell.edu /neurobio/land/OldStudentProjects/cs490-96to97/hoffman/IK.html (558 words)

	Realistic Movements and Inverse Kinematics - GameDev.Net Discussion Forums (Site not responding. Last check: 2007-10-18)
		Inverse kinematics: The animator specifies joint angles and the model forms to those angles using some type of hierarchical scheme.
		Inverse kinematics are still used to do the final rendering but the animator dose not need to specify the rotation angle for every key frame.
		Anyway I find key frames and inverse kinematics work well enough for what I want to do and will probably be enough for you to.
	www.gamedev.net /community/forums/ViewReply.asp?id=1203162 (1828 words)

	Making Inverse Kinematics Really Work For You (Site not responding. Last check: 2007-10-18)
		The Inverse Kinematics(IK) feature of Ray Dream Studio is a powerful way to be able to adjust the positioning of your figure's joints, letting you worry about where you want things, not just how to pose each individual joint to make it happen.
		If you use inverse kinematics for both a hand and arm, for example, you might find yourself in a position where moving a finger causes the whole arm to move.
		Inverse Kinematics is an extraordinarily useful tool for simplifying the creation of high quality animation motions.
	www.afx.com /rds/tutorial/iktut.htm (4796 words)

	Coulomb excitation in inverse kinematics
		Inverse kinematics means, that a heavy projectile ion is excited by a light target ion (see Figure 2 and the animation).
		One advantage of inverse kinematics is, that the center of mass velocity of both ions is higher.
		Because of this the light nuclei are scattered with smaller angles wich implicates a higher rate of coincidence.
	www.iskp.uni-bonn.de /gruppen/tfields/research/node4.html (334 words)

	Nucleon transfer in inverse kinematics
		Figure: Velocity diagrams for inverse kinematics: (a) generic diagram with lengths as in (p,d) reactions, (b) for elastic scattering.
		The kinematic focussing is dependent principally on the target and ejectile masses, and only residually on the projectile mass and the reaction Q-value.
		As an example, the kinematics for d(30Mg,31Mg)p and associated reactions are shown in fig.
	www.ph.surrey.ac.uk /~phs1wc/tiara/rnb2000/s01c01/node2.html (506 words)

	Inverse Kinematics
		Inverse kinematics is the opposite of forward kinematics, that is given the final position and orientation, the joint angles are returned.
		Also, Cartesian trajectories created by moving the arm must be converted to joint angles by the inverse kinematic solution before becoming viable data for most control schemes.
		It was also passed to Matlab's own inverse kinematic function so that result could be compared with the closed form result.
	home.flash.net /~vulpix/ratler/invkin.html (1031 words)

	Inverse Kinematics for Humanoid Skeletons Tutorial
		If you were doing Kinematics you would be calculating the position of an object from its rotations/velocities/forces on it, etc...
		In the case of this tutorial Inverse Kinematics means calculating the rotations of the joints in the skeleton for a certain part of the skeleton to reach a given point.
		Then quatmultiply the stored orientation with the inverse of the current worldspace rotation (not including the hand joint.) You can then quatmultiply with a quaternion containing any change in rotation of the object the hand is attached to.
	www.3dkingdoms.com /ik.htm (2183 words)

	Learn about Robot Inverse Kinematics
		The inverse kinematics problem is much more interesting and its solution is more useful.
		The inverse kinematics problem (at the position level) for this robot is as follows: Given X
		The inverse kinematics solution for Cartesian robots is trivial as all axes are perpendicular by definition and thus there is no coupling of the motions.
	www.learnaboutrobots.com /inverseKinematics.htm (484 words)

	Inverse Kinematic (Site not responding. Last check: 2007-10-18)
		Bones can be animated with forward or inverse kinematics, using any of the available IK solvers, or through Interactive or Applied IK.
		An IK solver generally operates in this way: an inverse kinematic chain is defined on part of the hierarchy, say from the hip to the heel, or the shoulder to the wrist of a character.
		Note: 3ds max also provides two other methods of inverse kinematic manipulation of hierarchies, which don't depend on a solver: Interactive IK and Applied IK, which we have already looked at.
	staff.bath.ac.uk /abshhkc/tutorials/digital/3ds/bones.html (1251 words)

	24-354 Lab 9: Inverse Kinematics (Site not responding. Last check: 2007-10-18)
		You do inverse kinematics when you can describe the location of a point in Cartesian (or polar) coordinates, and want to drive your robot to get there.
		The purpose of this lab is to combine your knowledge of inverse kinematics and motion planning
		Uses inverse kinematics to derive the angle values of the links for the start (S) and end (E) points.
	www.generalrobotics.org /labs/lab09 (618 words)

	Projective methods in Inverse Kinematics, Robustness.
		In these briefs I try to explain how we can construct inverse kinematics algorithm from some natural experimental data (as target hand trajectory and it's mistakes).
		And in case we have an over-completing set degrees of freedom, we've got only such a noise projections that are representing principal component that have minimal variance.
		Kinematics was obtained with generalized inversion, no matter what matrix C in this scheme could be, but symmetric, positive and full-ranged.
	am.freehosting.net /bern/bernst_new.html (2152 words)

	Analytic inverse kinematics techniques for anthropometric limbs
		In this thesis, we develop a set of inverse kinematics algorithms suitable for an anthropometric arm or leg.
		We use a combination of analytic and numerical methods to solve generalized inverse kinematics problems including position, orientation, and aiming constraints.
		We use triangular Bezier surfaces to model the workspace of the arm and to encode the coupling between the clavicle and shoulder joints.
	repository.upenn.edu /dissertations/AAI9913530 (212 words)

	/Downloads/Software/RRG Kinematix v1.0 (Site not responding. Last check: 2007-10-18)
		It can be used to perform forward and inverse kinematics of any serial chain robot, with any number of Degrees of Freedom.
		For those who like to fine tune the kinematics routines to their own needs, functions are provided that will adjust the parameters of the inverse kinematics routines.
		This program then calculates the forward kinematics for torso and based on this result recalculates the arm inverse kinematics, so that the end-effector of the arm stays in the same position.
	www.robotics.utexas.edu /rrg/downloads/software/rrgkmax1.0 (518 words)

	Solving the Inverse Kinematics in Humanoid (ResearchIndex) (Site not responding. Last check: 2007-10-18)
		Abstract: In this paper a method for solving the inverse kinematics of an humanoid robot based on artificial neural networks is presented.
		To get a good set of sample data to train the neural network the direct kinematics of the robot needs to be developed, so to formulate the...
		1 Inverse kinematics for humanoid robots using artificial neur..
	citeseer.ist.psu.edu /575720.html (340 words)

	Inverse Kinematics (Site not responding. Last check: 2007-10-18)
		We are attacking the problem of implementing satisfying interaction with very high DOF systems of (partially) constrained geometric objects, with applications both in modular robot kinematics and constraint-based CAD systems.
		Loops in the kinematic topology of the robot constrain 15 DOF.
		We would like to add inverse kinematics capability to the simulation software so that it can perform this type of job automatically, with the human operator only specifying the task (in this case, the pose of the tower top).
	groups.csail.mit.edu /drl/Shady/inverse_kinematics.html (1095 words)

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