On swept volume formulations: implicit surfaces

On swept volume formulations: implicit surfaces

Recent developments in formulations for generating swept volumes have made a significant impact on the efficiency of employing such algorithms and on the extent to which formulations can be used in representing complex shapes. In this paper, we outline a method for employing the representation of implicit surfaces using the Jacobian rank deficiency condition presented earlier for the sweep of p...

Closed-form Swept Volume of Implicit Surfaces

Recent developments in formulations for generating swept volumes have made a significant impact on the efficiency of employing such algorithms and on the extent to which formulations can be used in representing complex shapes. In this paper, we outline a method for employing the representation of implicit surfaces using the Jacobian rank deficiency condition presented earlier for the sweep of p...

Geodesic Computation on Implicit Surfaces

Geodesics have a wide range of applications in CAD, shape design and machine learning. Current research on geodesic computation focuses primarily on parametric surfaces and mesh representations. There is little work on implicit surfaces. In this paper, we present a novel algorithm able to compute the exact geodesics on implicit surfaces. Although the existing Fast Marching Method can generate a...

Inpainting Images on Implicit Surfaces

Planar image processing has been widely investigated for many years. The processing operations include denoising, edge enhancement, edge detecting, inpainting, and others. But there exists little work about processing images on surfaces, since it is difficult to extend the classic methods to deal with the problem. In this paper, we study the inpainting algorithm of images on implicit surfaces b...

Implicit Surfaces