The concept of the nonholonomic deformation formulated recently for the AKNS family is extended to the Kaup-Newell class. Applying this construction we discover a novel mixed integrable hierarchy related to the deformed derivative nonlinear Schrödinger (DNLS) equation and found the exact soliton solutions exhibiting unusual accelerating motion for both its field and the perturbing functions. Ex...

WPSD (Weighted Pose Space Deformation) is an example based skinning method for articulated body animation. The per-vertex computation required in WPSD can be parallelized in a SIMD (Single Instruction Multiple Data) manner and implemented on a GPU. While such vertex-parallel computation is often done on the GPU vertex processors, further parallelism can potentially be obtained by using the frag...

Free-form deformation is an important geometric shape modification method in computer animation and geometric modeling. We explore it by means of functional composition via shifting operators. Our method takes a polygonal model as input but yields a curved model described by triangular Bézier patches as output. The proposed method also solves the sample problem of free-form deformation. keyword...

This paper presents solutions of the fractional partial differential equation (fPDE) for analysing water movement in soils. The fPDE explains processes equivalent to the concept of symmetrical fractional derivatives (SFDs) which have two components: the forward fractional derivative (FFD) and backward fractional derivative (BFD) of water movement in soils with the BFD representing the micro-sca...

Lagrangian particle formulations of the large deformation diffeomorphic metric mapping algorithm (LDDMM) only allow for the study of a single shape. In this paper, we introduce and discuss both a theoretical and practical setting for the simultaneous study of multiple shapes that are either stitched to one another or slide along a submanifold. The method is described within the optimal control ...

Aerodynamic shape optimization plays a fundamental role in aircraft design. However, useful parameterizations of shapes for engineering models often result in high-dimensional design spaces which can create challenges for both local and global optimizers. In this paper, we employ an active subspace method (ASM) to discover and exploit low-dimensional, monotonic trends in the quantity of interes...

Monitoring containers during transport in a secure, tamper resistant, and reliable manner, is the subject of the IBM Secure Trade Lane project (STL). We have evaluated a platform based on motes (i.e. very small computers) and TinyOS as the base for communication in STL. We implemented an IEEE 802.15.4 full functional device (FFD) MAC layer with beacon support, and we discovered that running thi...

Strand length, free-fall distance (FFD), and plate spacing was varied to control the strand alignment distribution of strandboard. To determine the strand angle distribution, photographs of strands were recorded as digital image data, and strand angle analysis was conducted using a modified von Mises distribution function. A part of this measurement was used as a reference for the alignment in ...

We propose an optimization method for estimating patientspecific muscle fiber arrangement from clinical CT. Our approach first computes the structure tensor field to estimate local orientation, then a geometric template representing fiber arrangement is fitted using a Bspline deformation by maximizing fitness of the local orientation using a smoothness penalty. The initialization is computed wi...

In this paper, we propose a new algorithm to estimate diffeomorphic organ atlases out of 3D medical images. More precisely, we explore the feasibility of Kärcher means by using large deformations by diffeomorphisms (LDDMM). This framework preserves organs topology and has interesting properties to quantitatively describe their anatomical variability. We also use a new registration algorithm bas...