Skip to main content
padlock icon - secure page this page is secure

Smooth Piecewise Polynomial Blending Operations for Implicit Shapes

Buy Article:

$52.00 + tax (Refund Policy)


In this paper, we present a new set of blending operations for implicitly defined geometric shapes. The proposed shape operators are piecewise polynomial and blending range controllable, and can be constructed to any required degree of smoothness. The key idea behind these techniques is the introduction of the concept of the smooth absolute functions, which in turn lead to the definition of smooth maximum functions. These novel generalized absolute functions can be constructed recursively or through a recursively defined functions, and can thus be computed cheaply. In addition, the underlying mathematical descriptions of these shape operations are very simple and elegant.
No References
No Citations
No Supplementary Data
No Article Media
No Metrics

Keywords: Boundary representations; Constructive solid geometry; Curve; I.3.5 [Computational Geometry and Object Modeling]; blending operation; constructive solid geometry; implicit curve; implicit surface; object representations; shape modeling; solid; surface

Document Type: Research Article

Affiliations: Department of Computer Science, University of Hull, Hull, HU6 7RX, UK, Email: [email protected]

Publication date: June 1, 2007

  • Access Key
  • Free content
  • Partial Free content
  • New content
  • Open access content
  • Partial Open access content
  • Subscribed content
  • Partial Subscribed content
  • Free trial content
Cookie Policy
Cookie Policy
Ingenta Connect website makes use of cookies so as to keep track of data that you have filled in. I am Happy with this Find out more