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Most of the proposed solutions use a planar workspace.
To overcome this problem, we optimized the design of a 3 degrees of freedom serial robotic arm to attain multiple adjacent (desired number of) possible orifice locations, through which a planar workspace of pre-specified geometry can be traced.
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Here we examined proprioceptive function across a horizontal planar workspace, using a new method that avoids active movement and interactions with other sensory modalities.
It has a large planar workspace (80×40 cm ellipse) and a rigid structure with direct drive of two brushless motors that provide full back driveability, low intrinsic mechanical impedance, and a good isotropy index at the end-effector.
We consider the problem of motion planning for a number of small, circular robots in a common planar workspace.
In this paper, a broadly applicable approach for numerically obtaining the workspace and the singularity curves of a planar RRRRR-type manipulator is presented.
Instead of synthesizing the interpolating motions in the joint space of a planar chain, this paper presents a method for synthesizing smooth motions in the workspace of the chain.
To demonstrate and validate our approach, a planar three-bar manipulator is tested with the proposed algorithm; the boundaries of the manipulator's collision-free reachable workspaces are calculated and compared with the results of the manipulator's reachable workspaces.
A planar image seems to become three-dimensional.
Imagine that 3-chip DLP Xtreme model projecting its 1080p goodness on to a Planar Xscreen.
a Planar geometry.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com