“An Elementary Introduction to Matrix Exponential for CG” by Anjyo and Kimura

  • ©Ken-ichi Anjyo and Ayumi Kimura

Conference:


Entry Number: 03

Title:

    An Elementary Introduction to Matrix Exponential for CG

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Abstract:


    Prerequisites
    Basic linear algebra and calculus.

    Level
    Introductory

    Who Should Attend
    Beginners in computer graphics.

    Description
    This course provides an approach to “visually” understanding several mathematical concepts as computer graphics basics, focusing on matrix exponential. Mathematical concepts include 2D/3D translation, rotation, affine transformation, quaternion, dual quaternion, exponential, and logarithm. To clarify the relationships among these concepts and computer graphics practice, several graphics techniques are also demonstrated, such as morphing (ARAP), cage-based deformation, and Poisson mesh editing.

    A unique and interesting feature of this course is that most of the concepts are explained with animation videos, which help the audience get visual “experience” of mathematical concepts more concretely than learning from a textbook. The practical graphics applications also illustrate the power of careful use of the mathematical concepts.


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