implicitization function

Implicitization with Gröbner bases

Implicitization of a system of parametric equations (see example).

implicitization(nvariables, parameters, equations, relations)

Arguments

• nvariables: number of variables
• parameters: character vector of the names of the parameters, or NULL if there's no parameter
• equations: named list of qspray polynomials representing the parametric equations
• relations: list of qspray polynomials representing the relations between the variables and between the parameters, or NULL if there is none

Returns

A list of qspray polynomials.

Examples

library(qspray)
# ellipse example ####
# variables 
cost <- qlone(1)
sint <- qlone(2)
nvariables <- 2
# parameters
a <- qlone(3)
b <- qlone(4)
parameters <- c("a", "b")
#
equations <- list(
  "x" = a * cost,
  "y" = b * sint
)
relations <- list(
  cost^2 + sint^2 - 1
)
# 
implicitization(nvariables, parameters, equations, relations)