Physics - Deformations

We need to be able model things that are springy and spongy. These object need to deform when compressed and apply a force to the objects around them.

some objects (cable, rope, chain) can be deformed but not stretched.

Springs

Springs are designed to deform in one direction.

Simulations of humans

As I have said already I think that simulations of humans is so important. When joints bend we need to model the stretching of the skin.

The work of VRML Humanoid Animation Working Group at: http://ece.uwaterloo.ca:80/~h-anim/ does not seem to explain how to do this? perhaps I have missed something.

I can think of several possibilities for this:

Have a zone around the joint where coordinates are transformed in proportion to their distance from the joint.
Properly model the muscles, fat, tendons and other tissue.

atom image

Calculus

A mathematical function such as y=f(x) defines a value of y for every x.

Differentiation and Integration defines a whole function for a a given input function.

Differentiation

Differentiation defines the rate of change of a given function for every point on that function:

differential

How this is done is explained on this page.

Integration

Integration defines the cumulative area under a given function for every point on that function:

intergral

How this is done is explained on this page.

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see also:

go to water

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Book Shop - Further reading.

Where I can, I have put links to Amazon for books that are relevant to the subject, click on the appropriate country flag to get more details of the book or to buy it from them.

Commercial Software Shop

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Can you help?

Please send me any improvements to here. I would appreciate ideas to make the pages more useful including error correction, ideas for new pages, improvements to wording. It helps if you quote the full URL of the page.

progam

I am working on a project which uses these principles, if you would like to help me with this you are welcome to join in, here:

http://sourceforge.net/projects/mjbworld/

This site may have errors. Don't use for critical systems.

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see also:	go to water deformable blob tutorial relaxation methods human animation
Correspondence about this page
Book Shop - Further reading. Where I can, I have put links to Amazon for books that are relevant to the subject, click on the appropriate country flag to get more details of the book or to buy it from them.
Commercial Software Shop Where I can, I have put links to Amazon for commercial software, not directly related to the software project, but related to the subject being discussed, click on the appropriate country flag to get more details of the software or to buy it from them.
Can you help? Please send me any improvements to here. I would appreciate ideas to make the pages more useful including error correction, ideas for new pages, improvements to wording. It helps if you quote the full URL of the page.
progam I am working on a project which uses these principles, if you would like to help me with this you are welcome to join in, here:	http://sourceforge.net/projects/mjbworld/