PulseAugur
EN
LIVE 08:10:20

New probabilistic GMM model represents plane curves with uncertainty

Researchers have developed a novel probabilistic representation for plane curves using Gaussian Mixture Models (GMMs). This method approximates curves with line segments, each associated with a random variable that captures uncertainty in both tangential and normal directions. The resulting GMM analytically represents local geometry and normal uncertainty, applicable to various curve types and useful for applications in CAD, robotics, and trajectory planning. AI

RANK_REASON The cluster contains a research paper detailing a new method for representing plane curves. [lever_c_demoted from research: ic=1 ai=0.4]

Read on arXiv cs.AI →

AI-generated summary · Google Gemini · from 1 sources. How we write summaries →

COVERAGE [1]

  1. arXiv cs.AI TIER_1 English(EN) · Ali Darijani, Benedikt Stratmann, J\"urgen Beyerer ·

    A Geometric Gaussian Mixture Representation of Plane Curves

    arXiv:2606.06505v1 Announce Type: cross Abstract: We introduce a user defined probabilistic polygonal representation for plane curves. Given a curve, we select vertices on the curve and connect consecutive vertices by line segments to obtain a polygonal approximation. Each segmen…