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Freeform fabrication of soft structures has been of great interest in recent years. In particular, it is viewed as a critical step toward the grand vision of organ printing--the on-demand design and fabrication of three-dimensional (3D) human organ constructs for implantation and regenerative medicine. The objective of this study is to develop a novel(More)
We are given a set of weighted unit disks and a set of points in Euclidean plane. The minimum weight unit disk cover (WUDC) problem asks for a subset of disks of minimum total weight that covers all given points. WUDC is one of the geometric set cover problems, which have been studied extensively for the past two decades (for many different geometric range(More)
Three dimensional (3D) bioprinting technology enables the freeform fabrication of complex constructs from various hydrogels and is receiving increasing attention in tissue engineering. The objective of this study is to develop a novel self-supporting direct hydrogel printing approach to extrude complex 3D hydrogel composite structures in air without the(More)
Yield-stress support bath-enabled extrusion printing is emerging as a promising filament-based direct-write strategy for different applications in tissue engineering and regenerative medicine. Central to the printing quality of complex three-dimensional structures fabricated by the support bath-enabled fabrication approach is the formation of a continuous(More)
Additive manufacturing (AM) enables the freeform fabrication of complex structures from various build materials. The objective of this study is to develop a novel Laponite nanoclay-enabled "printing-then-solidification" additive manufacturing approach to extrude complex three-dimensional (3D) structures made of various liquid build materials. Laponite, a(More)
It is a long standing open problem whether Yao-Yao graphs YYk are all spanners. Bauer and Damian [4] showed that all YY6k for k ≥ 6 are spanners. Li and Zhan [21] generalized their result and proved that all even Yao-Yao graphs YY2k are spanners (for k ≥ 42). However, their technique cannot be extended to odd Yao-Yao graphs, and whether they are spanners(More)
The uniformity of polymer melt flow in micro extrusion die determines the quality of products directly. It is the base of extrusion die design. According to rheology testing theory and with the help of capillary rheometer, the reasonable extrusion parameters have been achieved. The comparative micro scale viscosity model is built based on Kelvin-Voigt(More)
Support Vector Machine is one of the most classical approaches for classification and regression. Despite being studied for decades, obtaining practical algorithms for SVM is still an active research problem in machine learning. In this paper, we propose a new perspective for SVM via saddle point optimization. We provide an algorithm which achieves (1 −(More)
It is known that certain structures of the signal in addition to the standard notion of sparsity (called structured sparsity) can improve the sample complexity in several compressive sensing applications. Recently, Hegde et al. [17] proposed a framework, called approximation-tolerant model-based compressive sensing, for recovering signals with structured(More)
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