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Bibliography

Partial Matching of Planar Polylines Under Similarity Transformations http://robotics.stanford.edu/~scohen/pssp-soda-final.pdf

Computing the Frechet Distance Between two Polygonal Curves http://www.staff.science.uu.nl/~kreve101/asci/ag-cfdbt-95.pdf

New Similarity Measures between Polylines with Applications to Morphing and Polygon Sweeping http://sarielhp.org/research/papers/01/morph/morph.pdf

Sketching Contours https://www.cs.rutgers.edu/~nealen/research/sc_preprint.pdf

  • Uses a modified version of the Guibas & Cohen algorithm

Optimal Partial Shape Similarity https://cis.temple.edu/~latecki/Papers/ivc05.pdf

Curve Matching, Time Warping, and Light Fields https://www.researchgate.net/publication/220146268_Curve_Matching_Time_Warping_and_Light_Fields_New_Algorithms_for_Computing_Similarity_between_Curves

Optimal Similarity of Polylines http://www.sfbtr8.uni-bremen.de/project/r3/shape/tracking/optimal-matching.html

How can I define a measure of similarity between two line segments? http://math.stackexchange.com/questions/860503/how-can-i-define-a-measure-of-similarity-between-two-line-segments-in-mathbbr http://gis.stackexchange.com/questions/44299/how-to-rank-polylines-according-to-their-similarity-to-a-ref-polyline

Tufts implementation of topological sweep http://www.cs.tufts.edu/r/geometry/other/sweep/

Topologically Sweeping an Arrangement (Edelsbrunner & Guibas) http://www.hpl.hp.com/techreports/Compaq-DEC/SRC-RR-9.pdf

Guibas handout on topological line sweep: http://graphics.stanford.edu/courses/cs368-06-spring/handouts/basic.pdf

Alternative line sweep algorithms:

https://pdfs.semanticscholar.org/a571/cc92218132a1b0e65c2adbf663c79d015737.pdf http://www.akira.ruc.dk/~keld/teaching/algoritmedesign_f03/Artikler/12/Chazelle92.pdf

Key words: frechet distance procrustes analysis statistical shape similarity dynamic time warping

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Implementation of Guibas & Cohen (1997) partial polyline matching algorithm: http://robotics.stanford.edu/~scohen/pssp-soda-final.pdf

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