Concepedia

Algebraic Surface Intersections

Algebraic Surface Intersections is a mathematical framework in computational geometry that characterizes the loci of intersection between two or more algebraic surfaces as solution sets of systems of multivariate polynomial equations, distinguished by its reliance on symbolic-numeric elimination techniques to determine geometric and topological properties of the intersection curves.

53

Publications

3K

Citations

78

Authors

46

Institutions

Publications per year

2017–2026

2

Parents

Publications

53

Calculus on Arithmetic Surfaces

Annals of Mathematics · 1984 · 377 citations

, , +8

Fibered algebraic surfaces with low slope

Gang Xiao · Mathematische Annalen · 1987 · 192 citations

, , +8

Surface-to-surface intersections

Nicholas M. Patrikalakis · IEEE Computer Graphics and Applications · 1993 · 146 citations

, , +15

Algebraic surfaces and Seiberg-Witten invariants

Robert Friedman, John W. Morgan · ArXiv.org · 1995 · 130 citations · Full text

, , +12

An efficient surface intersection algorithm based on lower-dimensional formulation

Shankar Krishnan, Dinesh Manocha · ACM Transactions on Graphics · 1997 · 129 citations · Full text

, , +17

1–5 of 53

Authors

78

  1. TW
    Thomas W. Sederberg

    Brigham Young University, United States

    4 publications · 190 citations

    4

    h-index

  2. NM
    Nicholas M. Patrikalakis

    Massachusetts Institute of Technology, United States

    3 publications · 212 citations

    3

    h-index

  3. JW
    Joe Warren

    Rice University, United States

    2 publications · 93 citations

    2

    h-index

  4. CB
    Chanderjit Bajaj

    Purdue University West Lafayette, United States

    2 publications · 103 citations

    2

    h-index

  5. TA
    Thomas A. Garrity

    Williams College, United States

    2 publications · 93 citations

    2

    h-index

1–5 of 78

Institutions

46

  1. Massachusetts Institute of Technology

    Cambridge, United States

    3 h-index

    5 publications

    284 citations

  2. Brigham Young University

    Provo, United States

    3 h-index

    5 publications

    133 citations

  3. Purdue University West Lafayette

    West Lafayette, United States

    3 h-index

    4 publications

    204 citations

  4. Rice University

    Houston, United States

    2 h-index

    3 publications

    109 citations

  5. Academy of Mathematics and Systems Science

    Beijing, China

    2 h-index

    3 publications

    130 citations

  6. General Motors (United States)

    Detroit, United States

    2 h-index

    2 publications

    116 citations

  7. Academia Sinica

    Taipei, Taiwan

    2 h-index

    3 publications

    130 citations

  8. Columbia University

    New York, United States

    2 h-index

    2 publications

    55 citations

1–8 of 46

Venues

  1. American Journal of Mathematics

    3 publications · 113 citations

    3

    h-index

  2. Purdue e-Pubs (Purdue University System)

    Repository · 3 publications · 197 citations

    3

    h-index

  3. ACM Transactions on Graphics

    TOG · 2 publications · 186 citations

    2

    h-index

  4. Mathematische Annalen

    2 publications · 277 citations

    2

    h-index

  5. Transactions of the American Mathematical Society

    TRAN · 2 publications · 33 citations

    2

    h-index

1–5