This work presents a methodology for 3D modeling of lip motion in speech production and its application to lip tracking and visual speech animation. Firstly, a geometric modeling allows to create a 3D lip model from 30 control points for any lip shape. Secondly, a statistical analysis, performed on a set of 10 key shapes, generates a lip gesture coding with three articulatory-oriented parameter...

In this work, we propose a 3D space handwriting recognition system by combining 2D space handwriting models and 3D space ligature models based on that the most different parts between 2D space handwriting characters and 3D space handwriting characters are the shapes of ligatures. We design the ligature model not dependent on each character but dependent on the incoming and the outgoing vector. ...

Surfaces serve as a natural parametrization to 3D shapes. Learning surfaces using convolutional neural networks (CNNs) is a challenging task. Current paradigms to tackle this challenge are to either adapt the convolutional filters to operate on surfaces, learn spectral descriptors defined by the Laplace-Beltrami operator, or to drop surfaces altogether in lieu of voxelized inputs. Here we adopt...

Conventional methods of 3D object generative modeling learn volumetric predictions using deep networks with 3D convolutional operations, which are direct analogies to classical 2D ones. However, these methods are computationally wasteful in attempt to predict 3D shapes, where information is rich only on the surfaces. In this paper, we propose a novel 3D generative modeling framework to efficien...

We introduce a simple and effective point descriptor, called 3D Laplacian Pyramid Signature (3DLPS), by extending and adapting the Laplacian Pyramid defined in 2D images to 3D shapes. The signature is represented as a high-dimensional feature vector recording the magnitudes of mean curvatures, which are captured through sequentially applying Laplacian of Gaussian (LOG) operators on each vertex ...

• Asymptotics of the Lebesgue constant for Lagrange interpolation based on Lissajous-Chebyshev node points. partial sums Fourier series generated by anisotropically dilated rhombus. Formula Dirichlet kernel with frequencies in In this paper asymptotic formulas are given constants three special approximation processes related to ? 1 -partial series. particular, we consider polynomials points, rh...

We address the problem of correspondence between 3D isometric shapes. We present an automatic method that finds the optimal correspondence between two given (nearly) isometric shapes by minimizing the amount of deviation from isometry. We optimize the isometry error in two steps. In the first step, the 3D points uniformly sampled from the shape surfaces are transformed into spectral domain base...

We present an interactive system called ArchiDNA for creating 2D and 3D conceptual drawings in architectural design. We developed a novel principle of shape generation called match-and-attach by analyzing drawing styles of a contemporary architect, Peter Eisenman. The process consists of user interaction techniques and a set of rules that decide how one ormore shapes attach to another shape. On...

The Shape Calculus is a bio-inspired calculus for describing 3D shapes moving in a space. A shape forms a 3D process when combined with a behaviour. Behaviours are speci ed with a timed CCS-like process algebra using a notion of channel that models naturally binding sites on the surface of shapes. In this paper, the full formal timed operational semantics of the calculus is provided, together w...

Three-dimensional (3D) shape discrimination could be achieved using relative disparity signals or it could be achieved using a higher-order disparity derivative detector. Two 3D shape discrimination tasks were used to distinguish between these possibilities: a within-shape task and a between-shape task. Disparity thresholds were larger when discriminating within the same shape than when discrim...