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Automated methods for facial animation are a necessary tool in the modern industry since the standard blendshape head models consist of hundreds of controllers and a manual approach is painfully slow. Different solutions have been proposed…

Optimization and Control · Mathematics 2023-03-28 Stevo Racković , Cláudia Soares , Dušan Jakovetić , Zoranka Desnica

We propose a new model-based algorithm solving the inverse rig problem in facial animation retargeting, exhibiting higher accuracy of the fit and sparser, more interpretable weight vector compared to SOTA. The proposed method targets a…

Graphics · Computer Science 2023-03-28 Stevo Racković , Cláudia Soares , Dušan Jakovetić , Zoranka Desnica

We propose a method to fit arbitrarily accurate blendshape rig models by solving the inverse rig problem in realistic human face animation. The method considers blendshape models with different levels of added corrections and solves the…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Stevo Racković , Cláudia Soares , Dušan Jakovetić , Zoranka Desnica

In this paper, we present an advanced approach to solving the inverse rig problem in blendshape animation, using high-quality corrective blendshapes. Our algorithm introduces novel enhancements in three key areas: ensuring high data…

Graphics · Computer Science 2024-01-31 Stevo Racković , Cláudia Soares , Dušan Jakovetić

Digital human animation relies on high-quality 3D models of the human face -- rigs. A face rig must be accurate and, at the same time, fast to compute. One of the most common rigging models is the blendshape model. We present a novel…

Fitting parametric models of human bodies, hands or faces to sparse input signals in an accurate, robust, and fast manner has the promise of significantly improving immersion in AR and VR scenarios. A common first step in systems that…

Computer Vision and Pattern Recognition · Computer Science 2022-07-22 Vasileios Choutas , Federica Bogo , Jingjing Shen , Julien Valentin

L1-minimization refers to finding the minimum L1-norm solution to an underdetermined linear system b=Ax. Under certain conditions as described in compressive sensing theory, the minimum L1-norm solution is also the sparsest solution. In…

Computer Vision and Pattern Recognition · Computer Science 2012-08-28 Allen Y. Yang , Zihan Zhou , Arvind Ganesh , S. Shankar Sastry , Yi Ma

Over the past few years, the automatic generation of facial animation for virtual characters has garnered interest among the animation research and industry communities. Recent research contributions leverage machine-learning approaches to…

Graphics · Computer Science 2020-07-21 Eloïse Berson , Catherine Soladié , Vincent Barrielle , Nicolas Stoiber

The Levenberg-Marquardt algorithm is one of the most popular algorithms for finding the solution of nonlinear least squares problems. Across different modified variations of the basic procedure, the algorithm enjoys global convergence, a…

Optimization and Control · Mathematics 2020-04-08 E. Bergou , Y. Diouane , V. Kungurtsev

The problem of rig inversion is central in facial animation as it allows for a realistic and appealing performance of avatars. With the increasing complexity of modern blendshape models, execution times increase beyond practically feasible…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Stevo Racković , Cláudia Soares , Dušan Jakovetić

Facial animation is one of the most challenging problems in computer graphics, and it is often solved using linear heuristics like blend-shape rigging. More expressive approaches like physical simulation have emerged, but these methods are…

Graphics · Computer Science 2019-07-25 Yeara Kozlov , Hongyi Xu , Moritz Bächer , Derek Bradley , Markus Gross , Thabo Beeler

In this paper we present a fast and efficient method for the reconstruction of Magnetic Resonance Images (MRI) from severely under-sampled data. From the Compressed Sensing theory we have mathematically modeled the problem as a constrained…

Numerical Analysis · Computer Science 2017-12-01 Damiana Lazzaro , Elena Loli Piccolomini , Fabiana Zama

To be suitable for film-quality animation, rigs for character deformation must fulfill a broad set of requirements. They must be able to create highly stylized deformation, allow a wide variety of controls to permit artistic freedom, and…

Graphics · Computer Science 2020-08-19 Steven L. Song , Weiqi Shi , Michael Reed

Ill-posed linear inverse problems (ILIP), such as restoration and reconstruction, are a core topic of signal/image processing. A standard approach to deal with ILIP uses a constrained optimization problem, where a regularization function is…

Optimization and Control · Mathematics 2016-11-15 Manya V. Afonso , Jose M. Bioucas-Dias , Mario A. T. Figueiredo

We study randomized sketching methods for approximately solving least-squares problem with a general convex constraint. The quality of a least-squares approximation can be assessed in different ways: either in terms of the value of the…

Optimization and Control · Mathematics 2014-11-04 Mert Pilanci , Martin J. Wainwright

The phase retrieval problem, where one aims to recover a complex-valued image from far-field intensity measurements, is a classic problem encountered in a range of imaging applications. Modern phase retrieval approaches usually rely on…

Image and Video Processing · Electrical Eng. & Systems 2021-03-03 Saugat Kandel , S. Maddali , Youssef S G Nashed , Stephan O Hruszkewycz , Chris Jacobsen , Marc Allain

The task of approximating an arbitrary convex function arises in several learning problems such as convex regression, learning with a difference of convex (DC) functions, and learning Bregman or $f$-divergences. In this paper, we develop…

We propose a new fast algorithm for solving one of the standard approaches to ill-posed linear inverse problems (IPLIP), where a (possibly non-smooth) regularizer is minimized under the constraint that the solution explains the observations…

Optimization and Control · Mathematics 2012-10-10 Manya V. Afonso , José M. Bioucas-Dias , Mário A. T. Figueiredo

A new Levenberg--Marquardt (LM) method for solving nonlinear least squares problems with convex constraints is described. Various versions of the LM method have been proposed, their main differences being in the choice of a damping…

Optimization and Control · Mathematics 2024-05-16 Naoki Marumo , Takayuki Okuno , Akiko Takeda

The question of fast convergence in the classical problem of high dimensional linear regression has been extensively studied. Arguably, one of the fastest procedures in practice is Iterative Hard Thresholding (IHT). Still, IHT relies…

Statistics Theory · Mathematics 2020-08-28 Mohamed Ndaoud
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