Real time motion fairing with unit quaternions

Fangt, YC; Cc, Hsieh; Kim, Do Young; Chang, JJ; Woo, Tae Ho

doi:10.1016/s0010-4485(97)00057-2

Cited by 46 publications

(26 citation statements)

References 3 publications

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“…For instance, the standard Gaussian low-pass, discrete cosine transform (DCT) and Fourier transform have been adopted in some earlier works [6,11,12,[20][21][22]. Bruderlin and Williams [20] suggested that the techniques from the image and signal processing domain can be applied to design, modify, and adapt animated motion.…”

Section: Human Motion Denoisingmentioning

confidence: 99%

“…However, some intrinsic shortcomings of these methods hinder them from being widely applied in real-world applications. Take the popular signal-based denoising methods (e.g., Gaussian low-pass filter and discrete cosine transform (DCT)) for example, although they are easy to implement and only require a little of computational cost, they ignore the underlying structure correlation between different human joints and cannot preserve the embedded spatial-temporal motion patterns [11][12][13][14][15]. Indeed, human motion involves highly coordinated movement and the movement between different human joints are not independently [8].…”

Section: Introductionmentioning

confidence: 99%

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Sparse motion bases selection for human motion denoising

Xiao

Feng

et al. 2015

Signal Processing

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a b s t r a c tHuman motion denoising is an indispensable step of data preprocessing for many motion data based applications. In this paper, we propose a data-driven based human motion denoising method that sparsely selects the most correlated subset of motion bases for clean motion reconstruction. Meanwhile, it takes the statistic property of two common noises, i.e., Gaussian noise and outliers, into account in deriving the objective functions. In particular, our method firstly divides each human pose into five partitions termed as poselets to gain a much fine-grained pose representation. Then, these poselets are reorganized into multiple overlapped poselet groups using a lagged window moving across the entire motion sequence to preserve the embedded spatial-temporal motion patterns. Afterward, five compacted and representative motion dictionaries are constructed in parallel by means of fast K-SVD in the training phase; they are used to remove the noise and outliers from noisy motion sequences in the testing phase by solving ℓ 1 -minimization problems. Extensive experiments show that our method outperforms its competitors. More importantly, compared with other data-driven based method, our method does not need to specifically choose the training data, it can be more easily applied to real-world applications.

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Section: Human Motion Denoisingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Sparse motion bases selection for human motion denoising

Xiao

Feng

et al. 2015

Signal Processing

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“…Quaternions are operating on points in space and can easily represent 3D rotations around an arbitrary axis. The unit quaternion space belongs to ℜ 4 but has the same topology as of the special orthogonal group SO(3) and therefore allows linear and spherical (SLERP) interpolation between two orientations [21]. Using this representation via quaternions we can have smooth rotation around any axis.…”

Section: Transformations Of Parametrically Defined Surfacesmentioning

confidence: 99%

Transformation and Normal Vector Calculation of Parametrically Defined Surfaces Based on Dual Vectors and Screw Theory: Application to Phong's Shading Model

Papageorgiou

Aspragathos

2006

Computer Graphics Forum

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This paper presents a new approach for the transformation and normal vector calculation algorithms of parametrically defined surfaces via dual vectors and line transformations. The surface is defined via dual points, the transformation is performed by rotations and translations based on screw theory while normal vector calculation is utilized for shading based on Phong's illumination model. The main benefit of this approach lies into the compactness of the surface's representation since geometrical characteristics, such as tangent vectors, that are necessary for shading algorithms, are included within its definition. An extensive comparison is performed between the proposed approach and the traditional homogeneous model, presenting the merits of our approach.Analytical and experimental determination of the computational cost via computer implementation of 3D surface transformation and shading is presented. Point-based methods for the representation, transformation and shading of parametrically defined surfaces are compared to the introduced line-based methods (dual quaternions and dual orthogonal matrices). It is shown that the simplified rendering procedure of 3D objects, is considerably faster using screw theory over the traditional point-based structures.

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“…They modified the traditional gradient-descent method to retain the unitariness of quaternions during optimization. Fang et al [5] applied a low-pass filter to the estimated angular velocity of an input signal to reconstruct a smooth angular motion by integrating the filter responses. More recently, Lee and Shin [16] presented a general scheme for designing an orientation filter which is computationally efficient and guarantees such important filter properties as coordinate-invariance, time-invariance, and symmetry.…”

Section: Related Workmentioning

confidence: 99%

A Coordinate-Invariant Approach to Multiresolution Motion Analysis

Lee

2001

Graphical Models

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Real time motion fairing with unit quaternions

Cited by 46 publications

References 3 publications

Sparse motion bases selection for human motion denoising

Sparse motion bases selection for human motion denoising

Transformation and Normal Vector Calculation of Parametrically Defined Surfaces Based on Dual Vectors and Screw Theory: Application to Phong's Shading Model

A Coordinate-Invariant Approach to Multiresolution Motion Analysis

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