A shape preserving interpolant which has tension controls

Technical Report · Fri May 01 00:00:00 EDT 1987

OSTI ID:6228486

Foley, T A

The monotonicly and convexly constrained (MONCON) weighted v-spline interpolant is presented, which preserves local monotonicity and local convexity of the data. The MONCON weighted v-spline is the C/sup 1/ piecewise cubic, whose partition is defined by the data, that minimizes a variational problem subject to monotonicity and convexity constraints. The variational function that is minimized is the same as that minimized by the weighted v-spline, which is a generalization of the C/sup 2/ cubic spline, the weighted spline and the v-spline. By minimizing the constrained variational problem, the user not only generates a shape preserving interpolant, but the user can also interactively modify the shape of the curve using tension parameters and still preserve local monotonicity and convexity. An aspect of the work presented here that can apply to other methods is the definition of piecewise monotonicity constraints that vary continuously with respect to the data.

• Research Organization: Lawrence Livermore National Lab., CA (USA)
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 6228486
• Report Number(s): UCID-21155; ON: DE87014615
• Resource Relation: Other Information: Paper copy only, copy does not permit microfiche production. Original copy available until stock is exhausted
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
SPLINE FUNCTIONS
INTERPOLATION
ALGORITHMS
OPTIMIZATION
POLYNOMIALS
SHAPE
TENSILE PROPERTIES
FUNCTIONS
MATHEMATICAL LOGIC
MECHANICAL PROPERTIES
NUMERICAL SOLUTION
990230* - Mathematics & Mathematical Models- (1987-1989)
990220 - Computers
Computerized Models
& Computer Programs- (1987-1989)