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Position‐based facial animation synthesis

Computer Animation and Virtual Worlds, 2012
ABSTRACTWe propose an integrated facial dynamics model addressing the animation of 3D humanoid faces in real time. The computational model mimics facial motion by reproducing the layered anatomical structure of a human head including the bony structure, overlapping facial muscles and the skin.
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The Gabor expansion based positive distribution

Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP '98 (Cat. No.98CH36181), 2002
This paper presents and studies a time frequency distribution obtained from a Gabor expansion of a signal. The distribution is named the positive Gabor spectrogram, and is a new positive-like distribution with correct marginal distributions. Two side effects of correct marginals are non-additivity and time frequency fading.
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Diagrams for Positive Bases

Journal of the London Mathematical Society, 1971
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Total positivity and accurate computations with Gram matrices of Said‐Ball bases

Numerical Linear Algebra With Applications, 2023
E Mainar, J M Pena, B Rubio
exaly  

Total positivity and accurate computations with Gram matrices of Bernstein bases

Numerical Algorithms, 2022
E Mainar, J M Pena, B Rubio
exaly  

FINITE ELEMENTS IN ORDERED BANACH SPACES WITH POSITIVE BASES

Journal of Mathematical Sciences, 2023
Andreas Heinecke
exaly  

Evaluation and subdivision algorithms for general classes of totally positive rational bases

Computer Aided Geometric Design, 2020
E Mainar, J M Pena, B Rubio
exaly  

Dual bounds for the positive definite functions approach to mutually unbiased bases

Sampling Theory, Signal Processing, and Data Analysis, 2022
Afonso S Bandeira, Dmitriy Kunisky
exaly  

Totally positive bases for shape preserving curve design and optimality of B-splines

Computer Aided Geometric Design, 1994
J M Carnicer, J M Pena
exaly  

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