Saturday 18 September 2010

Planar Quad Mesh Design Pt. 1


A parametric tool for the design of planar quadliteral meshes based on uv-grid and normal directions of a design-driving NURBS surface.

The glazed freeform grid shell of the hippo house in the berlin zoo, has been designed by Schlaich, Bergerman + Partner. It consists of planar quadliterals, the geometry is based on a translational surface.

In this
paper, a comprehensive discussion about geometric aspects of surface tesselation, by H.Pottmann et. al., can be found. A direct parametric approach, developed by Gehry Partners and Schlaich, Bergemann & Partners is described in this paper.

Download the definition for the planar quad mesh tool here.

9 comments:

Anonymous said...

Amazing work!!! Can you elaborate a little on the restrictions on the input surface - i.e. which surfaces can be more accurately approximated with this method? And can you explain exactly what's being adjusted with the graph mappers?

Lorenz Lachauer said...

The whole definition is an extension of the idea of translational surfaces. You should have a look into the second paper by Gehry & Partners et. al., especially Fig. 7 describes roughly the meaning of the two graphs. They define the shape of two edges. The position of the node in the PQ mesh is always in the direction of the surface normal. It works quite well if you use the input surface as plan of the roof. The input surface is a control mechanism, not the design itself.

Robert Vierlinger said...

Thank you for sharing this definition, I used it at a 5-days workshop on shells in Lyon/Fr for quickly designing an anti- & synclastic structure.
See some pictures here.
BR Robert
TU Vienna, TU Delft

Vittorio Menna said...

hi lorenz,
great idea! i really needed it...
i tried to make it work but i get strange results... i cannot get it to work with little distances from the surface, it becomes a fuzzy hairy hedgehog!
how can i approximate in a good way my input surface? is it possible?
thanx
bext
vittorio

Jan Stenberg said...

Very nice work indeed!
I wonder if it is possible to use this setup as a "to planar quads-converter" to just convert an existing design? Eg. a rather complex thing as hand or a face? I´ve tried a bit, but I´m not at all familiar with Grasshopper and my results are not that encouraging.
Best regards Jan Stenberg

Unknown said...

hi there,

ty for sharing, but the vb outputs Null... using gh 0.9.0056

maybe u could have a look ?
thx

Unknown said...

Hi,

It looks awesome! I'd really like to play with the script a little hehe (:
Any chance you could re-upload the file?
I'm having trouble downloading it.

many thanks,
Yulian

Nouman Shakeel said...

Amazing blog. Check

ufone daily call packages
ufone weekly sms packages
ufone monthly internet packages

Illuminati invite organization said...

I greatly recommend you Via our ongoing Invitation to join our Great Elite Brotherhood known as the Illuminati,

Bringing the poor, the needy and the talented to the limelight of fame, riches and powers, knowledge, business and political connections. This is the right time for you to put all your worries, your health issues, and finance problems to an end by joining the Elite Family of The illuminati!. Are you sick, Barren or having divorcing problems, finding it difficult to get job promotions in your place of work in order to excel in life just like you wish? If YES! Then join the illuminati empire you will get all these numerous benefits and solutions to your problems.

This organization; is the world's oldest and largest fraternity. We are one Family under one father who is the Supreme Being. In Illuminati we believe that we were born in paradise and no member should struggle in this world. Hence all our new members are given Money Rewards once they join in order to upgrade their lifestyle.; interested viewers should get instant initiated to the Elite Brotherhood and get membership benefits to start a profitable business.

Note: that this message was created solely for the purpose of our recruitment scheme which will end next month and this offer is for unique ones only; if you are not serious on joining the illuminati empire, then you are advice not to contact us at all. This is because disloyalty is highly not tolerated here in our organization.

Join us today and get a membership benefit to start a profitable business and earn a monthly reward for Inviting new members to the organization. Please note, Kindly make sure all your responses are sent directly to the Illuminati secret Authorities Email contacts: contact@illuminatiinvite.org and illuminatiinviteorganization@gmail.com For more instructions on our membership process.