implicitization: Implicitization with Gröbner bases

In qspray: Multivariate Polynomials with Rational Coefficients

Implicitization with Gröbner bases

Description

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

Usage

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

Value

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)

qspray documentation built on Sept. 11, 2024, 5:33 p.m.