Strong $\mu$-Bases for Rational Tensor Product Surfaces and Extraneous Factors Associated to Bad Base Points and Anomalies at Infinity

DOI10.1137/16M1091952zbMath1371.68300OpenAlexW2736665118WikidataQ57533555 ScholiaQ57533555MaRDI QIDQ5283251

Li-Yong Shen, Ronald N. Goldman

Publication date: 21 July 2017

Published in: SIAM Journal on Applied Algebra and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/16m1091952

zbMATH Keywords

implicitizationresultantinfinitybase pointstrong \(\mu\)-basisextraneous factor

Mathematics Subject Classification ID

Analysis of algorithms and problem complexity (68Q25) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)

Related Items (8)

Algorithms for computing strong \(\mu\)-bases for rational tensor product surfaces ⋮ Syzygies for translational surfaces ⋮ Survey on the theory and applications of \(\mu\)-bases for rational curves and surfaces ⋮ A constructive approach to implicitizing rational surfaces with LCI base points by moving planes and moving quadrics ⋮ \(\mu\)-bases for rational canal surfaces ⋮ Inversion, degree, reparametrization and implicitization of improperly parametrized planar curves using \(\mu \)-basis ⋮ Implicitizing rational surfaces without base points by moving planes and moving quadrics ⋮ Heuristics to sift extraneous factors in Dixon resultants

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