“Using Tensor Diagrams to Represent and Solve Geometric Problems” by Blinn

  • ©James (Jim) F. Blinn

Conference:


Entry Number: 25

Title:

    Using Tensor Diagrams to Represent and Solve Geometric Problems

Course Organizer(s):



Presenter(s):



Abstract:


    Prerequisites
    Familiarity with homogeneous coordinate geometry and basic matrix operations. Distaste for page-long algebraic expressions. 

    Topics
    Review of homogeneous coordinate math. Notational problems with matrices. Einstein Index notation. How tensor diagrams represent basic operations. Application of tensor diagrams to 1D homogeneous equations (polynomials), 2D homogeneous equations (curves), 3D homogeneous equations (surfaces). Unsolved (at least to the knowledge of the speaker) problems.

    Description
    Introduction to tensor diagrams, a really cool algebraic manipulation tool that can help solve many problems in analytic geometry.

     


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