Finds the Inflection Point of a Curve

Implementation of methods Extremum Surface Estimator (ESE) and Extremum Distance Estimator (EDE) to identify the inflection point of a curve . Christopoulos, DT (2014) . Christopoulos, DT (2016) <> . Christopoulos, DT (2016) .

  • Because it does not imply any kind of functional hypothesis for the data under examination
  • Because it can give you an estimation despite the level of noise added to initial data
  • Because it is fast and can use parallel computing if you ask for it
  • Due to its simplicity it can handle data sets with more than a million rows in negligible execution time
  • It uses sophisticated iterative methods like bisection of Numerical Analysis and locates the inflection point when it is not directly visible form the first sight


What's new in version 1.3

Use of parallel computing under request (doparallel=TRUE) for the functions:





Repair of function findipiterplot()

  1. Fix bugs in calling the function
  2. Remove indirect methods CRESE, CREDE due to their limited functionality
  3. Plot in two separate pdfs 'ese_iterations.pdf' and 'ede_iterations.pdf'
  4. Check for the existence of sufficient number of results before creating confidence intervals

What's new in version 1.2

  1. The function eixf(x, y, f, i) was removed as not essentially necessary
  2. New functions with self declaring names were added: *ese(x,y,index) *bese(x,y,index) *ede(x,y,index) *edeci(x,y,index) *bede(x,y,index) All functions require length(x)>=4 in order to create numeric output
  3. Thef unction findipiterplot(x,y,index) was improved and became findipiterplot(x, y, index, plots = TRUE, crossrun = FALSE, ci = FALSE)
  4. Changes in NAMESPACE, added folder inst/CITATION
  5. Reference to new paper:

Demetris T. Christopoulos, On the efficient identification of an inflection point, International Journal of Mathematics and Scientific Computing, (ISSN: 2231-5330), vol. 6(1), 2016

Reference manual

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1.3.5 by Demetris T. Christopoulos, a year ago

Browse source code at

Authors: Demetris T. Christopoulos

Documentation:   PDF Manual  

GPL (>= 2) license

Imports parallel, stats, graphics, grDevices

Suggests knitr, rmarkdown

Imported by archetypal.

Depended on by RootsExtremaInflections.

Suggested by RRphylo.

See at CRAN