find the Delaunay triangulation for a given list of points - Maple Help

Online Help

All Products    Maple    MapleSim

Home : Support : Online Help : Mathematics : Discrete Mathematics : Graph Theory : GraphTheory Package : GraphTheory/DelaunayTriangulation

GraphTheory[DelaunayTriangulation] - find the Delaunay triangulation for a given list of points

 Calling Sequence DelaunayTriangulation(points)

Parameters

 points - list of 2 element lists representing n coordinates

Description

 • This function computes a Delaunay triangulation of the input points returning a sequence of two outputs: the set of triangles and an edge adjacency Matrix.
 • The Delaunay triangulation is a triangulation that maximizes the smallest angle of the triangles in the triangulation (i.e. it avoids thin triangles).
 • The triangles are returned in a set containing the three vertices of each triangle as integer references to the input points list.
 • The adjacency matrix is an n by n symmetric Matrix that contains a $1$ in entry $i,j$ if one of the triangle edges is from ${\mathrm{points}}_{i}$ to ${\mathrm{points}}_{j}$, and $0$ otherwise.
 See Also

Was this information helpful?

 Please add your Comment (Optional) E-mail Address (Optional) What is ? This question helps us to combat spam
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 5, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0, "math_score": 0.7091423273086548, "perplexity": 1164.7912073534117}, "config": {"markdown_headings": false, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": false}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "plain"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "warc_path": "s3://commoncrawl/crawl-data/CC-MAIN-2016-07/segments/1454701149548.13/warc/CC-MAIN-20160205193909-00094-ip-10-236-182-209.ec2.internal.warc.gz"}