Automatic Differentiation, C++ Templates, and Photogrammetry

Dan Piponi
ESC Entertainment

This paper appears in issue Volume 9, Number 4.
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Abstract

Differential calculus is ubiquitous in digital movie production. We give a novel presentation of automatic differentiation, a method for computing derivatives of functions, that is not well known within the graphics community, and describe some applications of this method. In particular we describe the implementation of a photogrammetric reconstruction tool used on the post-production of Matrix Reloaded and Matrix Revolutions that was built using automatic differentiation.

Author Information

Dan Piponi, 877 Walavista Avenue, Oakland, CA 94610 d.piponi@sigfpe.com

Source Code

This file contains sample C++ source code illustrating the methods in the paper: Adiff-1.0.tgz (4K gzipped tar archive)

Errata

• On page 46, line 4, the term f(X(3.0f)+d) should be:

      f(Dual<X>(3.0f)+d)
  

BibTeX Entry

@article{Piponi04,
  author = "Dan Piponi",
  title = "Automatic Differentiation, C++ Templates, and Photogrammetry",
  journal = "journal of graphics, gpu, and game tools",
  volume = "9",
  number = "4",
  pages = "41-55",
  year = "2004",
}