1. 1 Custom 3-D Computer Generated Digitally Rendered Artwork Just For You The Rendering Equation: L_o(x, \vec w) = L_e(x, \vec w) + \int_\Omega f_r(x, \vec w', \vec w) L_i(x, \vec w') (\vec w' \cdot \vec n) \mathrm{d}\vec w' Meaning: at a particular position and direction, the outgoing light (Lo) is the sum of the emitted light (Le) and the reflected light. The reflected light being the sum of the incoming light (Li) from all directions, multiplied by the surface reflection and incoming angle. By connecting outward light to inward light, via an interaction point, this equation stands for the whole 'light transport' — all the movement of light — in a scene. This is the key academic/theoretical concept in rendering. It serves as the most abstract formal expression of the non- perceptual aspect of rendering. All more complete algorithms can be seen as solutions to particular formulations of this equation.

2. 2 My name is John Michael Piper, and I am the owner, artist and designer of this website. I am introducing my newest venture for those who would like to have signed artwork customized to exactly what you want, in whatever colors you want it to be. For a negotiated price that would be far lower than I would be charging for a commercial commissioned work of art, I can create a work of computer generated (CG) art just for you and just from your instructions, and it would be the picture that you would create if you could. I'll create it just for you, to do with in any way you wish to use it.. The artwork itself would be created in my pc in my professionally trademarked style and I will still hold the copyright because the paid artwork would still be in my name as it will still be signed by me, as the artist. You will own the work of art and you may sell it if you wish or you can use it in any way you want for any reason. It will be like purchasing an advertisement to use for your own reasons, but this will be a work of art that you can have made into a poster, a print and framed to hang on the walls of your home or office or wherever or whatever you choose to do with it. If you wish to find out more about this or if you have any questions, just fill in the textbox to the right and send me your question(s) and your email address or click my email address here jmichaelpiper@animatemotions.com and I will reply back to you within 24 hours.

3. 3 This is an example of a custom work of art. I inserted an image Of myself into a specially designed work of art because once a long time ago I went on one of these diving bells down a half mile under the surface of the Pacific Ocean. It was something I will never forget, and no picture was taken…so I created it just for myself to remind me of that experience. It came out great! And because I am able to do this for myself, it gave me the idea that I’m sure others could benefit from this idea. So that is why I will create the custom image you would like to have about maybe something you experienced but have nothing to remind you of that event. My prices are very reasonable so write to me and tell me what you would like to have done! Thanks!

4. 4 There was a time when I played drums in my years in many bands over a 22 year period. One time, there was a topless night club that my band used to hang out at, and we got to know the owner pretty well. He asked us to play there one night for his birthday and it was a lot of fun, nude girls dancing to our music! That was a memorable night, but no picture was taken that I would’ve rather had with the girls dancing by me while I played, so to remind me of that night I created this one. So now I will always remember that night! This is just another example of the work that I can do, but you can also see all of my work on my website. Then you can know that my work is nothing less than pure professional.

5. 5 Hello again! This is just to remind you of how to contact me if you wish to have me do this for you! Thank you for taking the time to check out this new thing I can do for you, and if you are seriously interested in having something like this done for you, just send me an email here: jmichaelpiper@animatemotions.com or use the e-mail link here up in the left top corner on this page to let me know you are interested and wish to find out more about this. I sincerely hope you decide to have me do this for you because this is such a great venture for me to do for people and it will turn out great for you! I promise to make this experience a once in a lifetime thing that you will also have a part of because it will be all about you and the memory you want to remember of you or your loved ones!! Thank you and come again and have a great day! Sincerely, John Michael Piper