Camera Keyframing using Linear Interpolation of Matrices
Amy Hawkins, Cindy M. Grimm
In Journal of Graphics Tools, 12(3), 2007.
Abstract: Alexa's method for linearly interpolating matrices is well-suited for application to camera matrices. This paper discusses implementation issues that arise when applying this method to camera interpolation. We show how to include the perspective matrix, even though Alexa's operators cannot be applied directly to it. We discuss cases where Alexa's operators fail to converge and show how to work around this problem. Additionally, we present implementation details for three interpolation methods: linear, spline-based smooth approximation, and smooth interpolation using subdivision.

We also discuss general issues with implementing Alexa's method. We note changes to his provided pseudocode and discuss suitable values for epsilon to maximize efficiency. Finally, we show examples of the technique and describe a quality metric that can be used to compare our technique to camera parameter interpolation.
BibTeX format:
@article{Hawkins:2007:CKU,
  author = {Amy Hawkins and Cindy M. Grimm},
  title = {Camera Keyframing using Linear Interpolation of Matrices},
  journal = {Journal of Graphics Tools},
  volume = {12},
  number = {3},
  pages = {55--69},
  year = {2007},
}
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