slide1 n.
Download
Skip this Video
Loading SlideShow in 5 Seconds..
Design Unstructured set of rich objects plus Rich expression rule Sparse representation. PowerPoint Presentation
Download Presentation
Design Unstructured set of rich objects plus Rich expression rule Sparse representation.

Loading in 2 Seconds...

play fullscreen
1 / 3

Design Unstructured set of rich objects plus Rich expression rule Sparse representation. - PowerPoint PPT Presentation


  • 104 Views
  • Uploaded on

KNOWMESH - MESHLESS GEOMETRY WITH KNOWLEDGE REPRESENTATION Prof W Randolph Franklin, Prof Barbara Cutler Rensselaer Polytechnic Institute, Troy NY. Design Unstructured set of rich objects plus Rich expression rule Sparse representation. No explicit global topology.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about 'Design Unstructured set of rich objects plus Rich expression rule Sparse representation.' - mave


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
slide1

KNOWMESH - MESHLESS GEOMETRY WITH KNOWLEDGE REPRESENTATIONProf W Randolph Franklin, Prof Barbara CutlerRensselaer Polytechnic Institute, Troy NY

Design

Unstructured set of rich objects

plus

Rich expression rule

  • Sparse representation.
  • No explicit global topology.
  • All input is legal; will create a representation of something.
  • Expression rule built on knowledge representation.
  • Mechanization of descriptive geometry – what an intelligent observer would say to an intelligent listener.

Technical rationale

  • Compact, to fit in PDAs to to transmit quickly.
  • Facilitates parallel processing.
  • Emphasizes the features that are important, rather the minimizing geometric error (unless that is important).
  • Enables recognition and important operations on the data.

Contact info:

Franklin: wrf@ecse.rpi.edu,

http://wrfranklin.org/ (518) 276-6077

Cutler: cutler@cs.rpi.edu, http://www.cs.rpi.edu/~cutler (518) 276-3274

application to architecture
Application to Architecture
  • Represent a real campus of buildings.
  • Give an abbreviated description as an architect would.
  • Make a rough sketch of an architectural design using small scale physical building elements (top row).
  • Camera photographs the geometry. Computer vision techniques detect and identify components (2nd row).
  • Ground plane divided into an arrangement of line segments and cells (3rd row). Relative enclosure analyzed to determine an appropriate interpretation of this design.
  • Full 3D model constructed by automatically closing gaps between walls and clipping away unnecessary portions of walls.
application to cartography
Application to Cartography
  • Features more important than precise elevations.
  • Facilitate operations like mobility.
  • Must understand real terrain: often discontinuous, sharp local maxima, lateral symmetry breaking, features do not superimpose linearly.
  • Not a differentiable linear system – nonlinearity rules.
  • Legal terrain via scooping
  • Start from a given point, and proceed downhill from there along some trajectory until the edge of the dataset.
  • Creates discontinuities, never creates interior local minimum.
  • Progressive transmission follows naturally.
  • Bathymetry
  • Extreme unevenness of data.
  • Conventional data-fitting techniques fail.
  • Rendering with ODETLAP generates only the features that are justified.

Bathymetry tracklines

  • Structure that people can recognize even though it is hard to formalize: peninsulas or fjords?

Bad surface from kriging

Good surface from ODETLAP