Higher Order Continuity for Smooth As-Rigid-As-Possible Shape Modeling

TL;DR

This paper introduces a higher order smoothness modification to ARAP mesh deformation, reducing artifacts like spikes and enabling simple user interaction for real-time shape editing.

Contribution

It presents a novel higher order smoothness approach for ARAP that eliminates spikes and simplifies user interaction without sacrificing efficiency.

Findings

Reduces artifacts like spikes at manipulation handles.

Enables real-time, interactive shape deformation.

Maintains simplicity and efficiency of ARAP methods.

Abstract

We propose a modification of the As-Rigid-As-Possible (ARAP) mesh deformation energy with higher order smoothness, which overcomes a prominent limitation of the original ARAP formulation: spikes and lack of continuity at the manipulation handles. Our method avoids spikes even when using single-point positional constraints. Since no explicit rotations have to be specified, the user interaction can be realized through a simple click-and-drag interface, where points on the mesh can be selected and moved around while the rest of the mesh surface automatically deforms accordingly. Our method preserves the benefits of ARAP deformations: it is easy to implement and thus useful for practical applications, while its efficiency makes it usable in real-time, interactive scenarios on detailed models.