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SHAPE DEPENDENT MOTION INTERPOLANTS FOR PLANAR OBJECTS.

Huan Liu, Qiaode Jeffrey Ge1, Mark P Langer2

  • 1Computational Design Kinematics Lab, Stony Brook University, SUNY, Stony Brook, New York, 11794-2300.

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PubMed
Summary
This summary is machine-generated.

This study introduces a novel shape-dependent method for interpolating the motion of planar objects. It accounts for object geometry, enabling more accurate and adaptable motion paths in computer graphics and robotics.

Keywords:
Moments of inertiaShape dependent object normsdistance measures in SE(2)motion interpolation

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Area of Science:

  • Computational geometry
  • Robotics
  • Computer graphics

Background:

  • Traditional kinematics often focuses on unbounded spaces, lacking methods for shape-aware motion interpolation of bounded planar objects.
  • Existing motion interpolation techniques may not adequately account for the geometric properties of objects, leading to less accurate or adaptable motion paths.

Purpose of the Study:

  • To develop and present a shape-dependent motion interpolation method for planar objects.
  • To extend existing shape-dependent distance measures for improved motion interpolation.
  • To formulate a novel approach that considers the object's shape and inertia for motion interpolation.

Main Methods:

  • A shape-dependent inertia frame of reference is utilized instead of a fixed one for distance formulation.
  • A shape-dependent distance measure is applied and extended, incorporating area moments of inertia.
  • The distance function is decomposed into orthogonal directions to formulate shape-dependent translational interpolants.

Main Results:

  • A novel shape-dependent motion interpolation technique for planar objects is derived.
  • The method produces interpolants similar to spherical linear interpolants, using sinusoidal functions.
  • The resulting motion path's adaptability is demonstrated through adjustable shape parameters.

Conclusions:

  • The proposed method offers a shape-aware approach to motion interpolation for planar objects.
  • This technique enhances the accuracy and flexibility of motion paths by considering object geometry.
  • The findings have potential applications in computer graphics and robotics for realistic motion synthesis.