Now showing items 1-4 of 4

    • Boundry-Based Separation for B-rep $\rightarrow$ CSG Conversion 

      Shapiro, Vadim; Vossler, Donald L. (Cornell University, 1991-08)
      We have shown earlier that one of the most difficult steps in performing b-rep $\rightarrow$ CSG conversion for a curved solid object consists of determining a set of halfspaces that is sufficient for a CSG representation ...
    • Chain Models of Physical Behavior for Engineering Analysis and Design 

      Palmer, Richard S.; Shapiro, Vadim (Cornell University, 1993-08)
      The relationship between geometry (form) and physical behavior (function) dominates many engineering activities. The lack of uniform and rigorous computational models for this relationship has resulted in a plethora of ...
    • Real Functions for Representation of Rigid Solids 

      Shapiro, Vadim (Cornell University, 1991-11)
      A range of values of a real function $f$ : $E^{d} $\rightarrow \Re$ can be used to implicitly define a subset of Euclidean space $E^{d}$. Such `implicit functions' have many uses in geometric and solid modeling. This ...
    • Theory of R-functions and Applications: A Primer 

      Shapiro, Vadim (Cornell University, 1991-07)
      An R-function is real-valued function characterized by some property that is completely determined by the corresponding property of its arguments, e.g., the sign of some real functions is completely determined by the sign ...