The conventional wisdom expressed at several recent joint conferences and workshops on algebraic geometry and geometric modeling – Algebraic Geometry and Geometric Modeling 2002, Vilnius, Lithuania, The MSRI Workshop on Real Algebraic Geometry in Applications, Berkeley, 2004, and Algebraic Geometry and Geometric Modeling 2004, Nice, France – is that algebraic geometry has much to offer geometri...

The spring-mass model is a valid fundament to understand global dynamics of fast legged locomotion under gravity. The underlying concept of elasticity, implying leg stiffness as a crucial parameter, is also found on lower motor control levels, i.e. in muscle-reflex and muscle-tendon systems. Therefore, it seems reasonable that global leg stiffness emerges from local elasticity established by ap...

Unit quaternion is an ideal parameterization for joint rotations. However, due to the complexity of the geometry of S group, it’s hard to specify meaningful joint constraints with unit quaternion. In this paper, we have proposed an effective and accurate method to specify the rotation limits for joints parameterized with the unit quaternion. Joint constrains constructed with our method are adeq...

Welding input parameters play a very significant role in determining the quality of a weld joint. The joint quality can be defined in terms of properties such as weld-bead geometry, mechanical properties, and distortion. Generally, all welding processes are used with the aim of obtaining a welded joint with the desired weld-bead parameters, excellent mechanical properties with minimum distortio...

Point cloud coding solutions have been recently standardized to address the needs of multiple application scenarios. The design and assessment point methods require reliable objective quality metrics evaluate level degradation introduced by compression or any other type processing. Several proposed reliably estimate human perceived quality, including so-called projection-based metrics. In this ...

When viewed as a subset of R, the shape or geometry of the work envelope varies from robot to robot. However, the work envelope can also be viewed within the framework of joint space R. In joint space, the work envelope is typically characterised by bounds on linear combinations of joint variables. The constraints of this nature generate a convex polyhedron in R named the joint-space work envel...