Nutshell Abstract

Salient assemblage representation models recursive parametric systems.


A multidimensional curvilinear coordinate net allows an asymptotic C^infinity salient that depends on local geometric properties, like principal directions. Metric tensor computations compensate for parameter stretching, coordinate curve nonlinearity, and obliquity. A series of orthogonal functions approximates a given salient shape. Successive salients are assembled recursively with rules on shape, size, alignment, and dihedral. These rules determine invariant attributes during assemblage deformation. The resulting patch can be folded, yet remains homeomorphic to one parameter space. That simplifies geodesic calculation. Representation algebra is complex, but allows efficient computation because parameter arguments are effective predictors of negligible terms.

Prototypical Salient Assemblage

Assemblage constructed from 3 salient units.

Salient Assemblage


  • Add, remove, reposition, deform salient units.
  • Asymptotic salient blending.
  • Topologically invariant, homeomorphic with one parameter space.
  • Local control of salient direction, shape, size, and volume, at least approximately.
  • Recursive attachment rules, like alignment with principal directions.
  • Multidimensional.

Salient Assemblage


As a consequence of the above requirements, a salient assemblage has the following characteristics:

  • Constructive formulation, finite skeleton substructure formed by salient semiaxes.
  • Concise data storage.
  • One patch, thus no patch boundary, avoid geodesic cusp.
  • Parameters usually have physical significance.
  • Nowhere flat.
  • Complicated algebraic expressions require computer.

china top 10 cheap nfl jersey t shirt printing machine in india,Men's Denver Broncos Demaryius Thomas Nike Orange Player Pride Name & Number T-Shirt.Men's San Francisco 49ers New Era Scarlet 2015 NFL Draft Original Fit 9FIFTY Adjustable Hat,San Francisco 49ers Striped Fanny Pack,Pittsburgh Steelers Youth Team Logo T-Shirt - Black- The Ravens Franchise.Women's Minnesota Vikings Charm Stainless Steel Watch,Denver Broncos Navy Doubleheader Backsack,Men's Baltimore Ravens Black Field Position Pullover Hoodie Baltimore Ravens 2016 Jerseys.Mens Kansas City Chiefs Majestic Red Game Lead Ultra-Lightweight Long Sleeve Fleece,New Orleans Saints T-Shirt and Hoodie Set - Black/Gold.Men's Dallas Cowboys Black Electric Carbon T-Shirt,Men's New Orleans Saints New Era Gray Fan Training Camp 39THIRTY Flex Hat,Washington Redskins Women's Missy Baby Jersey Tri-Blend T-Shirt - Burgundy.Men's Denver Broncos Split Color Slippers,Minnesota Vikings Infant Team Logo T-Shirt - Purple,plain women soccer jerseys wholesale,cheap nfl clothing vouchers.Women¡¯s New York Giants White Faceoff Parka,Men's Denver Broncos New Era Orange Shadow Tech 39THIRTY Flex Hat Joe Flacco Sale Jerseys.Mens Pittsburgh Steelers Troy Polamalu Nike White White Game Jersey,Dallas Cowboys Checkerboard Santa Figurine,Men's Jacksonville Jaguars '47 Black Franchise Fitted Hat Baltimore Ravens Jerseys for Wholesale

More Information

For more information, see slide presentation Salient Assemblage Representation of Multidimensional, Recursive, Deforming Geometry.

For an example application of a salient assemblage manifold see Optimization Using A Geodesic.