A non-DC function which is DC along all convex curves

Vision-based grasping plays an important role in the robot providing better services. It is still challenging under disturbed scenes, where the target object cannot be directly grasped constrained by the interferences from other objects. In this article, a robotic grasping approach with firstly moving the interference objects is proposed based on elliptical cone-based potential fields. Single-shot multibox detector (SSD) is adopted to detect objects, and considering the scene complexity, Euclidean cluster is also employed to obtain the objects without being trained by SSD. And then, we acquire the vertical projection of the point cloud for each object. Considering that different objects have different shapes with respective orientation, the vertical projection is executed along its major axis acquired by the principal component analysis. On this basis, the minimum projected envelope rectangle of each object is obtained. To construct continuous potential field functions, an elliptical-based functional representation is introduced due to the better matching degree of the ellipse with the envelope rectangle among continuous closed convex curves. Guided by the design principles, including continuity, same-eccentricity equivalence, and monotonicity, the potential fields based on elliptical cone are designed. The current interference object to be grasped generates an attractive field, whereas other objects correspond to repulsive ones, and their resultant field is used to solve the best placement of the current interference object. The effectiveness of the proposed approach is verified by experiments.

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A $\operatorname{log}$-type non-local flow of convex curves

Communications in Analysis and Geometry ◽

10.4310/cag.2021.v29.n5.a5 ◽

2021 ◽

Vol 29 (5) ◽

pp. 1157-1182

Author(s):

Laiyuan Gao ◽

Shengliang Pan ◽

Ke Shi

Keyword(s):

Local Flow ◽

Convex Curves ◽

Non Local

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Abstract 129: Suppressor of Cytokine Signaling 1 in Dendritic Cells Inhibits Myocardial Inflammation in Experimental Autoimmune Myocarditis

Circulation Research ◽

10.1161/res.111.suppl_1.a129 ◽

2012 ◽

Vol 111 (suppl_1) ◽

Author(s):

Kazuko Tajiri ◽

Kyoko Imanaka-Yoshida ◽

Michiaki Hiroe ◽

Nobutake Shimojo ◽

Satoshi Sakai ◽

...

Keyword(s):

T Cells ◽

Dendritic Cells ◽

T Cell ◽

Cd4 T Cells ◽

Cytokine Signaling ◽

Autoimmune Myocarditis ◽

Dc Function ◽

Autoreactive T Cell ◽

Experimental Autoimmune Myocarditis ◽

Experimental Autoimmune

Introduction: Autoimmunity is considered to play an important role in the development of myocarditis and dilated cardiomyopathy. Recent reports have indicated that a subgroup of myocarditis patients may benefit from immune-targeted therapies. Suppressor of cytokine signaling1 (SOCS1) is an intracellular, cytokine-inducible protein that regulates the responses of immune cells to cytokines. We therefore hypothesized that overexpression of SOCS1 may inhibit the inflammation of myocarditis and cardiomyopathy. Methods and Results: Myocarditis was induced by subcutaneous immunization with cardiac specific peptides derived from α-myosin heavy chain in BALB/c mice on days 0 and 7. Plasmid DNA encoding SOCS1 (pSOCS1) was injected intraperitoneally into mice on days 0, 5 and 10. pSOCS1 treatment significantly decreased heart-to-body weight ratios and the number of infiltrating cells in the heart. Echocardiography showed preserved contractile function in pSOCS1-treated mice. Although autoimmune myocarditis is a CD4+ T cell-mediated disease, pSOCS1 treatment does not have a direct suppressive effect on autoreactive T-cell activation. The introduced pSOCS1 suppressed proinflammatory cytokine production and STAT1 phosphorylation in dendritic cells (DCs). In addition, the proliferative responses of autoreactive CD4+ T cells co-cultured with DCs from pSOCS1-treated mice were much weaker than those of cells cultured with DCs from control plasmid-injected mice. These results suggested that the inoculated pSOCS1 may have been transfected into DCs and impaired DC function in vivo. Conclusion: The administration of pSOCS1 protected mice from the development of experimental autoimmune myocarditis, which was mediated by the inhibition of DC function that in turn reduced the activation of autoreactive CD4+ T cells.

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On the Fourier transforms of distribution on convex curves

Duke Mathematical Journal ◽

10.1215/s0012-7094-36-00263-6 ◽

1936 ◽

Vol 2 (4) ◽

pp. 712-721

Author(s):

E. K. Haviland ◽

Aurel Wintner

Keyword(s):

Fourier Transforms ◽

Convex Curves

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Area properties associated with a convex plane curve

Georgian Mathematical Journal ◽

10.1515/gmj-2016-0027 ◽

2017 ◽

Vol 24 (3) ◽

pp. 429-437

Author(s):

Dong-Soo Kim ◽

Young Ho Kim ◽

Hyeong-Kwan Ju ◽

Kyu-Chul Shim

Keyword(s):

Characteristic Property ◽

Plane Curve ◽

Characterization Theorem ◽

Convex Curve ◽

Convex Plane ◽

Convex Curves ◽

Necessary And Sufficient ◽

Locally Convex

AbstractArchimedes knew that for a point P on a parabola X and a chord AB of X parallel to the tangent of X at P, the area of the region bounded by the parabola X and chord AB is four thirds of the area of the triangle {\bigtriangleup ABP}. Recently, the first two authors have proved that this fact is the characteristic property of parabolas.In this paper, we study strictly locally convex curves in the plane {{\mathbb{R}}^{2}}. As a result, generalizing the above mentioned characterization theorem for parabolas, we present two conditions, which are necessary and sufficient, for a strictly locally convex curve in the plane to be an open arc of a parabola.

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A Curated Cacophony: Implementing an Intangible

10.26686/wgtn.17064593.v1 ◽

2021 ◽

Author(s):

◽

Oliver Wright

Keyword(s):

Architectural Design ◽

Flat Surfaces ◽

The North ◽

Architectural Element ◽

Convex Curves ◽

The Relationship ◽

Effective Design ◽

Target Design ◽

Acoustic Measure

<p>This research investigates a progression away from acoustics formed by spaces and towards spaces that are driven by target acoustics. Despite architecture and acoustics’ shared consideration of form, materiality and inhabitation, too often acoustics is neglected from design and so is treated remedially, nullifying creativity. A case study project was undertaken to investigate the opportunities and limitations of two parametric tools, Galapagos (a generative solver) and Pachyderm (an acoustic simulation tool), to develop acoustic qualities in early architectural design. Yet, what are these acoustic qualities and how could they be measured? Testing of cafes in the Wellington CBD was undertaken to investigate these questions. Six cafes were acoustically tested and five patrons from each of these completed a subjective survey. The café testing suggested that Reverberation Time (RT) could be an effective acoustic measure to direct architectural design. The café with the lowest patron enjoyment rating also recorded the longest RT and highest Sound Pressure Level (SPL), reinforcing the relationship between these three elements. Through these findings, patron enjoyment was concluded to be dependent on SPL and SPL was concluded to be dependent on RT (Whitlock and Dodd, 424). In order to increase patron enjoyment, Galapagos was utilised to explore possible forms that met a target design RT of 0.7 seconds. An RT of 0.7 seconds was chosen as it was shorter than the AS/NZS 2107 (2000) maximum and was comparable to the cafés with the two highest subjective enjoyment ratings. Through a parametric and analogue design methodology, Galapagos and Pachyderm were used to investigate how acoustic goals could shape a café design. The case study project produced a design that not only meets this acoustic criterion but harnesses form to sculpt sound. Instead of applying absorption to flat surfaces, the convex curves on the north and east facades disperse sound, producing both a diffuse environment and an engaging architectural element. This integrated investigation demonstrated that a parametric and analogue design process can be implemented to create a acoustically and architecturally effective design.</p>

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