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Open research areas in distance geometry

2016/10/03 by Leo Liberti, Carlile Lavor, Liberti, Leo +1
Computer Science · Engineering · Mathematics · #3D Shape Modeling and Analysis #51K99 #Computational Geometry (cs.CG) #Computational Geometry and Mesh Generation #FOS: Computer and information sciences #FOS: Mathematics #I.3.5 #Metric Geometry (math.MG) #Optimization and Control (math.OC) #Robotics and Sensor-Based Localization #acm:51K99 #cs.CG #math.MG #math.OC #msc:51K99

paper · pdf · doi:10.48550/arxiv.1610.00652

arxiv created 2016/10/03 · openalex publication_date 2016/10/03 · arxiv updated 2016/10/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Distance Geometry is based on the inverse problem that asks to find the positions of points, in a Euclidean space of given dimension, that are compatible with a given set of distances. We briefly introduce the field, and discuss some open and promising research areas.

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